Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 137872: A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances. At a=.05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule.
Click here to see answer by stanbon(75887)  |
Question 137871: Does anyone know what the formula for the z test for proportions is???
I have a few more questions that I really need help with solving.
1) Joan moves into her apartment and wants to purchase a new couch. She wants to determine if there is any difference between the average cost of couches at two different stores. Test the hypothesis that there is no difference at a=0.05.
_ Store 1 Store 2
x $650 $730
O $61 $78
n 24 21
2) Stating that the area under the curve between z=0 and z=1.00 is 0.3413 is the same as stating that the _________________ of selecting any z value between 0 and 1.00 is 0.3413.
3) A regression line was calculated as y = 9.7 -3.2x. The slope of this line is -3.2. True or false??
4) The ________________ are the number of values that are free to vary after sample statistic has been computed.
Thank you for any and all help that you can give me. I am really confused.
x
Click here to see answer by stanbon(75887) |
Question 137957: 10.52 One group of accounting students took a distance learning class, while another group took the
same course in a traditional classroom. At α = .10, is there a significant difference in the mean
scores listed below? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the
test statistic. (d) Make a decision. (e) Use Excel to find the p-value and interpret it.
Click here to see answer by stanbon(75887) |
Question 137950: Does lovastatin (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study, researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the
inactive pill.
(a) State the appropriate hypotheses.
(b) Obtain a test statistic and p-value. Interpret the results at α = .01.
(c) Is normality assured?
(d) Is the difference large enough to be important?
(e) What else would medical researchers need to know before prescribing this drug widely? (Data are from Science News 153 [May 30, 1998], p. 343.)
Click here to see answer by stanbon(75887) |
Question 138015: The probability that Robin Hood hits a target is 5/6. The probability that Little John hits a target is 1/7. If Robin Hood and Little John each shoot one arrow at the target, what is the probability that they both miss?:
Click here to see answer by stanbon(75887) |
Question 138079: I would very much appreciate if you could answer this question I do not know what category this is:
The speed of a boat in still water is 10km/h. The boat travels 12km upstream and 28km downstream in a total time of 4 hours. What is the speed of the stream?
Thank You
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 138079: I would very much appreciate if you could answer this question I do not know what category this is:
The speed of a boat in still water is 10km/h. The boat travels 12km upstream and 28km downstream in a total time of 4 hours. What is the speed of the stream?
Thank You
Click here to see answer by stanbon(75887) |
Question 138079: I would very much appreciate if you could answer this question I do not know what category this is:
The speed of a boat in still water is 10km/h. The boat travels 12km upstream and 28km downstream in a total time of 4 hours. What is the speed of the stream?
Thank You
Click here to see answer by scott8148(6628)  |
Question 138078: I saw this question posted but there was no answer so I am posting it again, as I am stumped!
Does lovastatin (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study, researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the
inactive pill.
(a) State the appropriate hypotheses.
(b) Obtain a test statistic and p-value. Interpret the results at α = .01.
(c) Is normality assured?
(d) Is the difference large enough to be important?
(e) What else would medical researchers need to know before prescribing this drug widely? (Data are from Science News 153 [May 30, 1998], p. 343.)
Click here to see answer by stanbon(75887) |
Question 138077: Please help me!
In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significantly lower accident rate?
(a) State the hypotheses.
(b) State the decision rule and sketch it.
(c) Find the sample proportions and z test statistic.
(d) Make a decision.
(e) Find the p-value and interpret it.
(f ) If statistically significant, do you think the difference is large enough to
be important? If so, to whom, and why?
(g) Is the normality assumption fulfilled? Explain.
Source: The Wall Street Journal, June 26, 1995, p. B1.
Accident Rate for Dallas Fire Trucks
Statistic Red Fire Trucks Yellow Fire Trucks
Number of accidents x1 = 20 accidents x2 = 4 accidents
Number of fire runs n1 =
Click here to see answer by stanbon(75887) |
Question 138073: Your help is greatly appreciated!
To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack kept track of the order in which papers were handed in. The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of 69.3 with a standard deviation of 24.9. Is this a significant difference at α = .05?
(a) State the hypotheses for a right-tailed test.
(b) Obtain a test statistic and p-value assuming equal variances.
Interpret these results.
(c) Is the difference in mean scores large enough to be important? (d) Is it reasonable to assume equal variances?
(e) Carry out a formal test for equal variances at α = .05, showing
all steps clearly.
Click here to see answer by stanbon(75887) |
Question 137992: A researcher collected sample data for 16 women ages 18 to 24. The sample had a mean serum cholestrol level of 188.8, with a standard deviaiton of 8.2. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed find 95% confidence interval for the mean serum cholersrol level of all women in this age group, complete the table below
What is the lower limit of the confidence interval?
what is the upper limit of the confidence interval?
Click here to see answer by stanbon(75887) |
Question 138072: Please help!
A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances. At α = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule.
(Data are from a project by statistics students Kim Dyer, Amy Pease, and Lyndsey Smith.)
Click here to see answer by stanbon(75887) |
Question 138071: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
Click here to see answer by stanbon(75887) |
Question 138129: Please, Please, Please can someone help me with these questions?? I am just totally confused. This is due tommorrow and I have no idea what i am doing. I would appreciate any and all help with these.
1) A pooled estimate of the variance is a weighted average of the variance using the two sample variances and the ___________ of each variance as the weights.
2) If a baseball player's batting average is 0.340 or 34%, find the probability that the player will have a bad season and only score at most 60 hits in the 200 times at bat?
A) 12.64%
B) 11.72%
C) 50.34%
D) 13.14%
3) When the subjects are paired or matched in some way, samples are considered to be____________?
4) What y z value corresponds to the 17% of the data between the mean and the z value?
A) 1.25
B) 0.44
C) 0.52
D) 2.10
5) A sample of 400 racing cars showed that 80 cars cost over $700,000. What is the 99% condidence interval of the true proportion of cars costing over $700,000?
6) Find the probability for P(0 A) 0.4525 or 45.25%
B) 0.4554 or 45.54%
C) 0.4207 or 42.07%
D) 0.3554 or 35.54%
7) Dr. Christina Cuttleman, a nutritionist, claims that the average number of calories in a serving of popcorn is 75 with a standard deviation of 7? A sample of 50 servings of popcorn yields an average of 78 calories. Check Dr. Cuttleman's claim at a=0.05.
8) The Eagle Ridge Contractors Association claims the average price of a home in thier subdivision is $125,150 with a standard deviation of $ 7,350. A sample of 36 homes for sale in this subdivision had an average selling price of $123,550. Is there evidence that the costs of homes for sale in this subdivision are actually lower than claimed? Test a=0.05, what is the test value?
A) -1.31
B) 1.31
C) -1.52
D) 1.52
9) Joan moves into her apartment and wants to purchase a new couch. She wants to determine if there is any difference between the average cost of couches at two different stores. Test the hypothesis that there is no difference at a=0.05
Store 1 Store 2
x(sample mean) $650 $730
o(sample deviation) $61 $ 78
n 24 21
Click here to see answer by stanbon(75887) |
Question 138036: Hi, I need some help with these few problems. Thanks,
1. Suppose 1,600 of 2,000 registered voters sampled said they planned to vote for the Republican candidate for president. Using the 0.95 degree of confidence, what is the interval estimate for the population proportion (to the nearest tenth of a percent)?
A) 78.2% to 81.8%
B) 69.2% to 86.4%
C) 76.5% to 83.5%
D) 77.7% to 82.3%
E) None of the above
2. A market survey was conducted to estimate the proportion of homemakers who could recognize the brand name of a cleanser based on the shape and color of the container. Of the 1,400 homemakers, 420 were able to identify the brand name. Using the 0.99 degree of confidence, the population proportion lies within what interval?
A) 0.250 and 0.350
B) 0.100 and 0.400
C) 0.950 and 0.997
D) 0.268 and 0.332
E) None of the above
3. The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the mean. He selects a random sample of 49 trucks passing the weighing station and finds the mean is 15.8 tons, with a standard deviation of the sample of 3.8 tons. What is the 95 percent interval for the population mean?
A) 14.7 and 16.9
B) 13.2 and 17.6
C) 10.0 and 20.0
D) 16.1 and 18.1
E) None of the above
4. Mileage tests were conducted on a randomly selected sample of 100 newly developed automobile tires. The mean tread wear was found to be 50,000 miles with a standard deviation of 3,500 miles. What is the best estimate of the mean tread life in miles for the entire population of these tires?
A) 50,000
B) 3,500
C) (50,000/100)
D) (3,500/100)
E) None of the above
5. For a given confidence interval, what is the interpretation of a 96% confidence level?
A) 96% chance that the given interval includes the true value of the population parameter
B) Approximately 96 out of 100 such intervals would include the true value of the population parameter
C) 4% chance that the given interval does not include the true value of the population parameter
D) Both "a" and "c" are true
E) None of the above is correct
Click here to see answer by stanbon(75887) |
Question 138186: First time asker-looking for help with the solution to this problem-just don't feel comfortable with the answer I'm getting. Help would be appreciated.
In Utica, Michigan, 205 of 226 school buses passed the annual safety inspection. In Detroit, Michigan, only 151 of 296 buses passed the inspection. (a) State the hypotheses for a right-tailed test. (b) Obtain a test statistic and p-value. (c) Is normality assured? (d) If significant, is the difference also large enough to be important?
Click here to see answer by stanbon(75887) |
Question 138196: One more question:I appreciate the assistance!
Prof. Green’s multiple-choice exam had 50 questions with the distribution of correct answers shown below. Research question: At α = .05, can you reject the hypothesis that Green’s exam answers came from a uniform population?
Correct Answer Frequency
A 8
B 8
C 9
D 11
E 14
Total 50
Click here to see answer by stanbon(75887) |
Question 138203: A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank’s claim. Use the information given below. State the null and alternative hypotheses, the significance level, the critical value, the test statistic, the decision and conclusion.
Local Bank Competitor Bank
Sample size n1 = 45 n2 = 50
Average Waiting 2.3 min. 2.6 min.
time in minutes
for each sample
Sample standard s1 = 1.1 min. s 2 = 1.0 min.
Deviation of each
sample
Click here to see answer by stanbon(75887) |
Question 138237: Hi Stan (U ROCK), I have a couple more I'm having trouble with. THANKS,
T F 1. If 40 samples, each of size n=21, were selected from a population of 22,493, we would expect the mean of the sample means and the population mean to be close but not exactly equal.
T F 2. A sample of union members was selected and their opinions regarding the proposed management union contract were recorded with 160 out of the 200 members favored the proposed contract. A 95 percent confidence interval for the population proportion ranged from 0. 74 and 0. 85. If the sample were larger, this interval would be larger (wider).
Click here to see answer by stanbon(75887) |
Question 138250: Does lovastatin (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study, researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the inactive pill.
(a) State the appropriate hypotheses.
(b) Obtain a test statistic and p-value. Interpret the results at α = .01.
(c) Is normality assured?
(d) Is the difference large enough to be important?
(e) What else would medical researchers need to know before prescribing this drug widely?
Click here to see answer by stanbon(75887) |
Question 138253: A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.
Click here to see answer by stanbon(75887) |
Question 138254: The Web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using
α = .025? (See story.news.yahoo.com accessed June 25, 2004.)
Click here to see answer by stanbon(75887) |
Question 138258: Hello again, need assistance please!! THANKS A BUNCH - UR a LIFESAVER!!
1. A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were:
3.087, 3.131, 3.241, 3.241, 3.270, 3.353, 3.400, 3.411, 3.437, 3.477
(a) Construct a 90 percent confidence interval for the true mean weight.
(b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture. (Data are from a project by MBA student Henry Scussel.)
2. In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive.
(a) Construct a 95 percent confidence interval for the population proportion of positive drug tests.
(b) Why is the normality assumption not a problem, despite the very small value of p?
Click here to see answer by stanbon(75887) |
Question 138248: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the
resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with
the results shown below. Research question: Are the mean crash damages the same for these three vehicles?
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
Click here to see answer by stanbon(75887) |
Question 138247: A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances. At α = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule.
Click here to see answer by stanbon(75887) |
Question 138246: To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack kept track of the order in which papers were handed in. The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of 69.3 with a standard deviation of 24.9. Is this a significant difference at α = .05?
(a) State the hypotheses for a right-tailed test.
(b) Obtain a test statistic and p-value assuming equal variances. Interpret these results.
(c) Is the difference in mean scores large enough to be important?
(d) Is it reasonable to assume equal variances?
(e) Carry out a formal test for equal variances at α = .05, showing all steps clearly.
Click here to see answer by stanbon(75887) |
Question 138210: Help, I can not figure out how to get the confidence interval for a t distribution. I really need step by step instructions.
For example if my sample mean is 2266.333, my standard deviation is 229.109, a random sample of 12 persons, find a 95% confidence interval for the mean number of miles driven. I can't figure this out, help
Click here to see answer by stanbon(75887) |
Question 138136: Daily output of Marathon's refinery is normally distributed with a mean of 232000 barrels of crude oil per day with a standard deviation of 7000 barrels.
What is the probability of producting at least 232000 barrels?
Between 232000 and 239000 barrels?
Less than 239000 barrels?
Less than 245000 barrels?
More than 225000 barrels?
Click here to see answer by stanbon(75887) |
Question 138211: I need assitance on this problem...
Answer the following questions, inserting values from the ANOVA table below.
Analysis of Variance
Source DF Sum of Squares Mean Square F Ration Prob > F
Treatment 2 100.5571 50.2786 1.7222 0.1847
Error 87 2539.9445 29.1948
C.Total 89 2640.5017
A. What is the Sum of Squares of Treatment?
B. What is the Total Sum of Squares?
C. What is the Mean Square Error (MSE) ?
D. What is the Test Statistic?
E. What is the P-value?
F. How many treatments (groupings) are being compared?
G. How many total observations are in this analysis?
H. What is the null hypothesis tested here?
Click here to see answer by stanbon(75887) |
Question 138295: I need help fast. Thank you.
A certain broakerae huse wants to estimate the mean daily return on a certain stock. A random sample of 17 days yields the following percentateS:
-1.2, -1.84, -2.93, -1.39,, 0.22, -1.64, -1.56, 1.31, 2.77, 2.69, 2.65, 2.98, -0.56, 2,8, -099, 0.39 and 0,14
If we assume that the return are normally distirbued find a 95%confidendce interval for the mean daily return on this stock.
What is the lower limit on the confireence interval
What is the upper limit of the confidence interval.
Click here to see answer by stanbon(75887) |
Question 138296: Confidence interval for the population mean: Use of the t distribution
A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 20 children selected at random and finds that their mean attention span is 31 minutes with a standard deviation of 6 minutes. If we assume that attention spans are normally distributed, find a 90 confidence interval for the mean attention span of children playing with this new toy. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
(If necessary, consult a list of formulas.)
What is the lower limit of the confidence interval
What is the higher limit of the confience interval
Click here to see answer by stanbon(75887) |
Question 137968: A researcher collected sample data for 11women ages 18 to 24 The sample had a mean serum cholesterol level (measured in mg/100 mL) of 189.9 with a standard deviation of 8.8. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 95 confidence interval for the mean serum cholesterol level of all women in this age group. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
(If necessary, consult a list of formulas
Click here to see answer by stanbon(75887) |
Question 138368: Suppose the average watermelon contains 144.0 brown seeds. Farmer Brown just picked 25 ripe melons from the south side of his big garden and found that the average was 141.0 seeds and the standard deviation was 2.4 seeds. The same test statistic was obtained from another sample of 36 melons picked from the north side of the garden, but this time the standard deviation was 3.6 seeds. What was the average number of seeds in each watermelon picked from the north side?
a. 140.25
b. 140.40
c. 140.54
d. 141.75
Click here to see answer by stanbon(75887) |
Question 138366: Two samples of shelled corn were taken from a bin and the weight of each kernel was measured and compared to the mean from last year’s entire bin. The test statistic from the first sample was 1.8, the test statistic from the second sample was 2.5, and the research team was astonished to learn that the mean and standard deviation were identical for both samples. If the first sample was composed of 16 kernels, how many kernels were weighed on the second occasion?
a. 8
b. 12
c. 22
d. 31
Click here to see answer by stanbon(75887) |
Question 138308: good morning. my brain is going blank on my problems, can you help me on this one please?a case of soda pop contains six bottles of root beer, six bottles of orange soda, seven bottles of cola, and five bottles of ginger ale.
Find the probability that (a)one bottle is orange soda and two bottles are root beer. thanks.
Click here to see answer by stanbon(75887) |
Question 138432: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully. Any help is much appreciated.
Thank you,
Sean
Click here to see answer by stanbon(75887) |
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