Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1086022: You read about a survey in a newspaper and find that 70% of the 250 people sampled prefer Candidate A. You are surprised by this survey because you thought that more like 50% of the population preferred this candidate. Based on this sample, is 50% a possible population proportion? Compute the 95% confidence interval to be sure.
Click here to see answer by Boreal(15235)  |
Question 1086020: You have 7 means, and you want to compare each mean to every other mean.
(a) How many tests total are you going to compute?
(b) What would be the chance of making at least one Type I error if the Type I error for each test was .05 and the tests were independent?
(c) Do you think the chance of making at least one Type 1 error when comparing these 7 tests is high or low? Explain your answer.
Click here to see answer by Boreal(15235)  |
Question 1086070: The mileage of the Honda Fit hybrid is normally distributed with a mean of 63.4 mpg and a standard deviation of 12.6 mpg. Find the probability that the mean mileage of six Honda Insights exceeds 70 mpg. Give your answer to three decimals, e.g., .987 .
Click here to see answer by Boreal(15235)  |
Question 1086069: Use the following probability distribution for this next question. Biologists researching a certain type of hawk, Accipiter spp., found the following probability values for x, the number of offspring.
x
P(x)
0
.05
1
.19
2
.32
3
.21
4
.12
5
.08
6
.03
Find the mean of the probability distribution for offspring of Accipiter spp. . Give your answer to one decimal, e.g., 1.2 .
Click here to see answer by Boreal(15235)  |
Question 1086068: Assume a simple random sample has been taken, the population standard deviation is known, and the population is normally distributed. According to a sample of 200 various insurance brokers and health experts, a typical childbirth in the United States costs a mean of $9500. Assume we know from a previous study, the standard deviation of the cost of the births is $2500. Use a 98% confidence level.
Find the margin of error E that corresponds to the above statistics and confidence level
Click here to see answer by Boreal(15235)  |
Question 1086049: The math action research team at Sample school completed a fishbone diagram as part of the process to determine root cause of low math test scores.Teaching strategies is one of the possible causes.While investigating the various strategies; staff noticed that the test scores for one classroom were consistently higher that the others in the same grade.
It was discovered that although all staff used the math games that accompany the curriculum; one teacher had scheduled regular use of the math games.Could this be the difference?
Mrs. Alfred scheduled 40 minutes each week for her students to play math games.In addition, she has created a math game center.Students may attend this center each week for additional minutes of practice time.
Mrs. Alfred agreed to record data over several units to help determine if there is a relationship between the regular use of math games and math test scores.She had the students keep track of the number of minutes they spent playing math games during the next unit.
If the scatter plot shows a positive relationship – further investigation may be indicated.
Click here to see answer by ikleyn(52750)  |
Question 1086116:
An ice chest contains 8 cans of apple juice, 6 cans of grape juice, 7 cans of orange juice, and 8 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of orange juice.
Click here to see answer by mathmate(429)  |
Question 1086122: X is a normally distributed random variable with a mean of 7 and a standard deviation of 2.5. Find the value of X for which 70.54% of the area under the distribution curve lies to the right of it. (Note: the diagram is not necessarily to scale.) (Hint: Find z corresponding to the given area and use X = z (standard deviation) + mean)
A. 6.10
B. 6.32
C. 5.65
D. 8.43
Click here to see answer by mathmate(429)  |
Question 1086128: The lifetimes of light bulbs of a particular type are normally distributed with a mean of 360 hours and a variance of 25 hours. What percentage of the bulbs have lifetimes that is in between 355 hours and 365 hours?
Click here to see answer by Boreal(15235)  |
Question 1086127: Assume that blood pressure readings have a mean of 120 and a standard deviation of 8. If 100 people are randomly selected, find the probability that their mean blood pressure will be greater than 122.
a. 0.8819
b. 0.9938
c. not enough information to determine
d. 0.0062
e. 0.8615
Click here to see answer by Boreal(15235)  |
Question 1086126: Which of the following is not true about the binomial distribution?
The probability of success plus the probability of failure is one.
The trials are independent.
The random variable X is continuous.
The probability of success is constant from trial to trial.
None of these.
Click here to see answer by Boreal(15235)  |
Question 1086130: The Statistics Club at Woodvale College sold college T-shirts as a fundraiser. The results of the sale are shown below. Choose one student at random. Find the probability that the student sold 11-15 T-shirts or less than 6 T-shirts.
No. of t-shirts / no. of club members
0/1
1-5/15
6-10/11
11-15/3
16-20/5
20+/1
Click here to see answer by Boreal(15235)  |
Question 1085998: A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid
diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds
with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation
of 14 pounds.
a. H0: _______
b. Ha: _______
c. In words, CLEARLY state what your random variable Xor P′ represents.
d. State the distribution to use for the test.
e. What is the test statistic?
f. What is the p-value? In one or two complete sentences, explain what the p-value means for this problem.
g. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and
shade the region(s) corresponding to the p-value
H. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate
conclusion, using complete sentences.
i. Alpha: _______
ii. Decision: _______
iii. Reason for decision: _______
iv. Conclusion: _______
I. Construct a 95% confidence interval for the true mean or proportion. Include a sketch of the graph of the situation.
Label the point estimate and the lower and upper bounds of the confidence interval.
Click here to see answer by Boreal(15235)  |
Question 1086135: A brand name has a 60% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 6 randomly selected consumers.
What is the probability that exactly 5 of the selected consumers recognize the brand name?
. What is the probability that all of the selected consumers recognize the brand name?
What is the probability that at least 5 of the selected consumers recognize the brand name?
If 66 consumers are randomly selected, is 55 an unusually high number of consumers that recognize the brand name?
Click here to see answer by Boreal(15235)  |
Question 1085486:
A metropolitan children's museum open year-round wants to see if the variance in daily attendance differs between the summer and winter months. Random samples of 30 days each were selected and showed that in the winter months, the sample mean daily attendance was 300 with a standard deviation of 52, and the sample mean daily attendance for the summer months was 280 with a standard deviation of 65. At α = 0.05, can we conclude a difference in the variances?
Step 1: State hypotheses by filling in the symbol (=, <, >, or not equal):
Ho: σ1 _________ σ2
H1: σ1 _________ σ2
Step 2: Find the critical value (from the table) (example: 2.34)
Critical F value is: ________
Step 3: Compute the test value using the formula (round to two decimal places, example 6.45, and it is always greater than 1):
F test value is: ________
Step 4: Reject the null or do not reject the null (type in either Reject the null or do not reject the null only):
________
Step 5: Conclusion sentence (type in either is or is not only, to reflect what you found):
There _________ enough evidence to support the claim that the variances in daily attendance differs between the summer and winter months.
Click here to see answer by Boreal(15235)  |
Question 1085939: In a study examining the effect of alcohol on reaction time, Liguori and Robinson (2001) found that even moderate alcohol consumption significantly slowed response time to an emergency situation in a driving simulation. In a similar study, researchers measured reaction time 30 minutes after participants consumed one 6-ounce glass of wine. Again, they used a standardized driving simulation task for which the regular population averages m = 400 msec. The distribution of reaction times is approximately normal with a = 40. Assume that the researcher obtained a sample mean of M = 422 for the n = 25 participants in the study.
Are the data sufficient to conclude that the alcohol has a significant effect on reastion time? Use a two tailed test with a=0.01
For this sample, the standard error is ______, and the value of the z-score is _____. With a=0.01, the boundaries of the critical region are _____. therefor, the data ______ sifficient to conclude that alcohol has significant effect on reaction time.
Does the data provide evidence that the alcohol significantly increased (slowed) reaction time? Use a one-tailed test with a=0.05
The data _____ provide evidence that the alcohol significantly (slowed) reaction time as the value of the z-score is _______ the boundary of the critical region of _____ obtained using one tailed test with a=0.05
Compute cohens d to estimate the size of the effect
cohen's d =
Click here to see answer by Boreal(15235)  |
Question 1086153: In a scene from a movie, 60 zombies are following a path through the woods, and they end up at one of the locations shown below. Assume they have an equal chance of following any given path. Use the tree diagram to help answer the following questions. Show and explain your work, and write all probabilities as fractions, then reduce.
Waterfall
Creek
60
Cabin
Hill Cliff
Ravine
1. How many zombies go to the creek? Explain.
2. What is the probability that a zombie goes to the creek? Explain.
Click here to see answer by ikleyn(52750)  |
Question 1086165: A shipment of 13 televisions contains 5 regular and 8 deluxe models. The manufacturer failed to mark the model designation on the cartons. If 3 cartons are selected at random, what is the probability that exactly 2 of them are the deluxe model? (Round your answer to three decimal places.)
Click here to see answer by josmiceli(19441)  |
Question 1086166: A lottery draws 4 numbers out of 44, and the order doesn't matter.
(a) How many ways can this be done?
44C4= 135751 ways
(b) A player chooses 4 numbers. What is the probability that the player wins the lottery? (Enter your probability as a fraction.)
Click here to see answer by Boreal(15235)  |
Question 1086164: A box of chocolates contains 24 chocolates. Ten of the chocolates have cherry centers. All chocolates appear the same.
Two chocolates are selected. Find the probability of each of the following. (Round your answers to four decimal places.)
(a) both have cherry centers
(b) one has a cherry center and one does not
Click here to see answer by Boreal(15235)  |
Question 1086164: A box of chocolates contains 24 chocolates. Ten of the chocolates have cherry centers. All chocolates appear the same.
Two chocolates are selected. Find the probability of each of the following. (Round your answers to four decimal places.)
(a) both have cherry centers
(b) one has a cherry center and one does not
Click here to see answer by ikleyn(52750)  |
Question 1086169: A game involves selecting a card from a regular 52-card deck and tossing a coin. The coin is a fair coin and is equally likely to land on heads or tails.
•
If the card is a face card, and the coin lands on Heads, you win $8
•
If the card is a face card, and the coin lands on Tails, you win $2
•
If the card is not a face card, you lose $2, no matter what the coin shows.
Question: Find the expected value for this game (expected net gain or loss). (Round your answer to two decimal places.)
Click here to see answer by jim_thompson5910(35256) |
Question 1086162: A speech class has seven freshmen and five sophomores. Three people are selected at random to give speeches in sequence. Find the probability of each of the following. (Round your answers to four decimal places.)
(a) the first is a sophomore, the second is a freshman, and the third is a sophomore
(b) all three are freshmen
(c) the first is a sophomore and the other two are freshmen
Click here to see answer by mathmate(429)  |
Question 1086151: The AIRLINE PILOTS AND PASSENGERS ASSOCIATION It has determined that 13.7% of all passengers leave their cell phones on when instructed to turn them off. This was a recent problem when the Galaxy batteries were exploding. From their survey of 61,000 passengers find the variance of the number of passengers who left their phones on.
Click here to see answer by jim_thompson5910(35256) |
Question 1086242: A local lottery is selling scratch-off tickets for $3.00 each. There are nine scratch-off spots consisting of the following dollar amounts: Four $5 spots, three $10 spots, and two $20 spots. If you scratch only two and get a matching pair you win the dollar amount listed ($5, $10, or $20).
a. What is the probability that you will NOT win any prize?
b. What is the probability that you will win $20?
c. Find your expected gain or loss.
Click here to see answer by mathmate(429)  |
Question 1086241: You are recruiting volunteers for a study on food choices at the grocery store. You need 32 participants, but you have 47 who apply to participate in the study.
a. How many different groups of 32 participants can you select from those who applied?
b. If three of the applicants are vegans, what is the probability of randomly selecting at least one vegan for the study?
Click here to see answer by mathmate(429)  |
Question 1086239: 1. The distribution of blood types in the United States is as follows:
O-positive: 38 %
O-negative: 7 %
A-positive: 34 %
A-negative: 6 %
B-positive: 9 %
B-negative: 2 %
AB-positive: 3 %
AB-negative: 1 %
a. What percentage of the population is Rh positive?
b. Given that a person is Rh negative, what is the probability that he or she will be type 0, a universal donor?
c. If you randomly select 15 people from the U.S. population, what is the probability that at least one person will have type AB blood?
d. Would you expect a similar result if you sampled 15 people from Asia? Explain
Click here to see answer by mathmate(429)  |
Question 1086212: 2. Eric is a recent graduate who has applied for a job at four different companies, Axel Group, Brad & Pitt, Crossing & Co., and Drew Ltd. Based on past records of people with a similar resume, the probability that he receives a job offer from Axel Group is 0.80, from Brad & Pitt is 0.40, from Crossing & Co. is 0.70, and from Drew Ltd. is 0.20. Assume that the 4 companies make hiring decisions independently.
a. What is the probability Eric does not get a job offer?
b. What is the probability that at least one of these four companies will offer him a job?
c. What is the probability that at least one of these companies will reject him?
Click here to see answer by mathmate(429)  |
Question 1086272: Ray has some change in his pocket: four pennies, two nickels, four dimes,
two quarters, and two half dollars. He draws out a coin at random. The
probability of drawing any one of the coins is
0.06 for each penny.
0.01 for each dime.
0.03 for each nickel.
0.09 for each quarter.
0.24 for each half-dollar.
(a) Find the probability that the coin drawn is a dime.
(b) Find the probability that the coin drawn is a quarter or a half-dollar.
(c) Find the probability that the coin drawn is a nickel.
(d) Find the probability that the value of the coin drawn is less than 10 cents.
Click here to see answer by Edwin McCravy(20054)  |
Question 1086300: A student is taking a multiple-choice exam in which each question has five choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a strategy in which she will place five balls into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are six multiple-choice questions on the exam. Complete parts (a) through (d) below.
a. What is the probability that she will get six questions correct?
(Round to four decimal places as needed.)
b. What is the probability that she will get at least five questions correct?
(Round to four decimal places as needed.)
c. What is the probability that she will get no questions correct?
(Round to four decimal places as needed.)
d. What is the probability that she will get no more than two questions correct?
Click here to see answer by Theo(13342)  |
Question 1086299: The Center for Disease Control, or CDC, has determined that when a person is given a vaccine, the probability that the person will develop immunity to the virus is 0.8. If 4 people are given this vaccine, find the probability that at least 1 of the people will develop immunity to the virus. Give your answer correct to 4 decimal places?
Click here to see answer by jim_thompson5910(35256) |
Question 1086323: Last year I ran in a 10K where the average completion time was 48.1 min with a standard deviation of 6.2 min. This year, runners completed the race in an average of 45.7 min with a 7.8 min standard deviation. The distribution of running times each year was approximately normal.
a. If I completed the race in 46.0 min last year and in 43.2 minutes this year, in which year did I run a better race as compared to the rest of the field?
b. If 6578 runners were in this year’s race, how many runners beat my time?
c. What time would have gotten me into the top 25%
Click here to see answer by Fombitz(32388)  |
Question 1086336: Last year I ran in a 10K where the average completion time was 48.1 min with a standard deviation of 6.2 min. This year, runners completed the race in an average of 45.7 min with a 7.8 min standard deviation. The distribution of running times each year was approximately normal.
a. If I completed the race in 46.0 min last year and in 43.2 minutes this year, in which year did I run a better race as compared to the rest of the field?
b. If 6578 runners were in this year’s race, how many runners beat my time?
c. What time would have gotten me into the top 25%
Click here to see answer by Fombitz(32388)  |
Question 1086334: Last year I ran in a 10K where the average completion time was 48.1 min with a standard deviation of 6.2 min. This year, runners completed the race in an average of 45.7 min with a 7.8 min standard deviation. The distribution of running times each year was approximately normal.
a. If I completed the race in 46.0 min last year and in 43.2 minutes this year, in which year did I run a better race as compared to the rest of the field?
b. If 6578 runners were in this year’s race, how many runners beat my time?
c. What time would have gotten me into the top 25%
Click here to see answer by Fombitz(32388)  |
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