Questions on Algebra: Probability and statistics answered by real tutors!

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Question 189737: A recent study by a LA based grocer designed to determine whether there was a relationship between the importance of promotional coupons and the size of the store revealed the following sample information:


Size of Store Important Not Important
Small 40 65
Large 60 40


What is your conclusion? Use the 0.05 level of significance.

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Question 189736: 1. From a regression analysis of sales with respect to advertising expenses in a study for a department store chain, the following output is obtained (use 0.05 significance level):
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.954
R Square 0.91
Adjusted R Square 0.902
Standard Error 936.85

ANOVA
df SS MS F
Regression 1 10621 10621 121.01
Residual 12 1053.2 87.768
Total 13 11674

Coefficients Standard Error t Stat P-value
Intercept 901.25 513.02 1.757 0.104
Advertising 1.686 0.153 11 0.000

(e) What is the regression equation?




(c) Is advertising expenses a significant factor for sales? Please give reason.




(f) Predict the sales volume if $5000 is spent on advertising.



(g) Determine the correlation coefficient



(h) Provide an interpretation of the correlation coefficient

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Question 189721: A human resource consulting firm designed an experiment to test the effect of the newly-designed employee training program for its biggest client. Three different modality of training were considered. The data obtained is summarized partially in the following ANOVA table.
Complete the ANOVA table

Source of Variation SS df MS F
Treatment 350
Error

Total 1204 14

Test for any significant effect due to the modality of training at the 0.01 level of significance.

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Question 189783: 60 % of the customers of a fast food chain order the super hamburger, french fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered? What is the expected value of the distribution? What is the variance of the distribution?
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Question 189720: A recent study by a LA based grocer designed to determine whether there was a relationship between the importance of promotional coupons and the size of the store revealed the following sample information:


Size of Store Important Not Important
Small 40 65
Large 60 40


What is your conclusion? Use the 0.05 level of significance.



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Question 189785: I am having trouble trying to set this problem up- could someone help please
thanks
Tom and Alice work independently in an attempt to solve a certain problem, i.e. whether one of them solves it does not affect the chances that the other will solve it. The probability that Tom solves it is 0.2 and the probability that Alice solves it is 0.4.
What is the probability that the problem will be solved?

If the problem is solved, what is the probability that Tom solves it?

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Question 189786: Judging from recent experience, 5% of the computer keyboards produced by an automatic, high-speed machine are defective. What is the probability that out of six keyboards selected at random, exactly zero keyboards will be defective?
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Question 189801: The probabilities and number of automobiles lined up at a lakeside Olds at opening time( 7:30 a.m.) for service are:
Number Probability
1 0.05
2 0.30
3 0.40
4 0.25
On a typical day, how many automobiles should Lakeside Olds expect to be lined up at opening?

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Question 189825: An insurance agent has appointments with four prospective clients tomorrow. From past experience, the agent knows that the probability of making a sale on any appointment is1 out of 5. Using the rules of probability, what is the likelihood that the agent will sell a policy to 3 of the 4 prospective clients?
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Question 189844This question is from textbook ken black
: A pen company average 1.2 defective pens per carton produce. The number of defect per carton is appropriately distributed.
1. What is the probability of selection a carton and finding no defective pens?
2. What is the probability of finding two or more defective pens in a carton?
This question is from textbook ken black

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Question 189804This question is from textbook Applied Statistics in Business and Economics
: One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic. Does the data prove a significant difference in mean times? Physicians
Time in Examination Rooms (minutes)
Physician 1 Physician 2 Physician 3 Physician 4
34 33 17 28
25 35 30 33
27 31 30 31
31 31 26 27
26 42 32 32
34 33 28 33
21 26 40
29
This question is from textbook Applied Statistics in Business and Economics

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Question 189718: 1. From a regression analysis of sales with respect to advertising expenses in a study for a department store chain, the following output is obtained (use 0.05 significance level):
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.954
R Square 0.91
Adjusted R Square 0.902
Standard Error 936.85

ANOVA
df SS MS F
Regression 1 10621 10621 121.01
Residual 12 1053.2 87.768
Total 13 11674

Coefficients Standard Error t Stat P-value
Intercept 901.25 513.02 1.757 0.104
Advertising 1.686 0.153 11 0.000

(e) What is the regression equation?




(c) Is advertising expenses a significant factor for sales? Please give reason.




(f) Predict the sales volume if $5000 is spent on advertising.



(g) Determine the correlation coefficient



(h) Provide an interpretation of the correlation coefficient



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Question 189573: For certain group of individuals, the average cost of a trip to the super bowl was $875. The standard deviation for the population was $50. This year, 20 fans who scheduled the trip paid an average of $890. Test the claim that the average cost has gone up to attend the super bowl. Use a 0.04 level of significance?
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Question 189876: the sales representative informs you that there are two floor plans still available, and that thee are a total of 56 houses available. Use x to represent floor plan#1 and y to represent floor plan#2 write an equation that illustrates the situation.
I am having trouble with these type of algebra problems need help quick.

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Question 189874: Could someone please assist me with the following question. I am having problems with distribution of z scores. The distribution process is very confusing for me. I greatly appreciate someone helping me with this problem and showing the steps for completion. The problem is:
The test scores for 2000 students were normally distributed with a mean of 65 and a standard deviation of 5. Find the following:
a. The z-score corresponding to the test score of 70.
b. The probability that a tested student will have a score between 65 and 70.

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Question 189878: the sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. write an equation that illustrates this situation
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Question 189871: I am having problems with normal distrubution problems and have no good example to follow. Could someone help me with the following problem and show steps of completetion. I greatly appreciate the help. Thanks in advance.
A normal distribution consists of 1000 scores with a mean of 100 and a standard deviation of 10. About how many of the scores are:
a. below 90
b. between 80 and 90

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Question 189953: An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10 mins. For a test of the claim, 35 individuals were given the the product, and the average time was 9.25 mins, with a standard deviation of 2 mins. Can one conclude, at the 0.05 level of significance that the claim is justified?
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Question 189965: Samples of wires coming off the production line were tested for tensile strength. the statistical results ( in PSI) were:
Arithmetic mean = 500; Mode=500; Quartile deviation=25; Range=240; Median=500; Standard deviation=40; Mean deviation=32; Number in sample=100.
According to the empirical Rule, The middle 95% of the wires tested between approximately what two values?

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Question 189919: Perform and interpret a regression hypothesis test on Does the league that a team play on in MLB have an impact on their salary.

Salary -mil
123.5
208.3
55.4
73.9
97.7
41.5
75.2
45.7
56.2
29.7
55.8
69.1
87.8
36.9
86.5
62.3
76.8
61.9
101.3
38.1
83.0
63.3
48.6
90.2
92.1
60.4
95.5
39.9
87.0
48.2

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Question 189806This question is from textbook Applied Statistics in Business and Economics
: Below are revenue and profit (both in $ billions) for nine large entertainment companies. (a) Make a scatter plot of profit as a function of revenue. (b) Use Excel to fit the regression, with fitted equation and R2. (c) In your own words, describe the fit. (Data are from Fortune 149, no. 7 [April 5, 2005], p. F-50.) Entertainment
Revenue and Profit of Nine Entertainment Companies
Company revenue Profit
AMC Entertainment 1.792 −0.020
Clear Channel Communication 8.931 1.146
Liberty media 2.446 −0.978
Metro-Goldwyn-Mayer 1.883 −0.162
Regal Entertainment Group 2.49 0.185
Time Warner 43.877 2.639
Univision Communication 1.311 0.155
Viacom 26.585 1.417
Walt Disney 27.061 1.267

This question is from textbook Applied Statistics in Business and Economics

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Question 189710: Perform a regression hypothesis test and interpret the results of this test. Does the league that a team is on for MLB have an impact on their salary

Team Salary in millions
Boston 125.5
NY Yankees 208.3
Oakland 55.4
Baltimore 73.9
LA Angels 97.7
Cleveland 41.5
Chicago White Soxs 75.2
Toronto 45.7
Minnesota 56.2
Tampa Bay 29.7
Texas 55.8
Detroit 69.1
Seattle 87.8
kansas City 36.9
atlanta 86.5
Arizona 62.3
Houston 76.8
Cincinnati 61.9
NY mets 101.3
Pittsburgh 38.1
LA Dodgers 83.0
San Diego 63.3
Washington 48.6
San Francisco 90.2
St Louis 92.1
Flordia 60.4
Philadelphia 95.5
Milwaukee 39.9
Chicago Cubs 87.0
Colorado 48.2

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Question 189973This question is from textbook
: A pen company average 1.2 defective pens per carton produce. The number of defect per carton is appropriately distributed.
1. What is the probability of selection a carton and finding no defective pens?
2. What is the probability of finding two or more defective pens in a carton?

sorry i m still confuse can u plz send me the whole solution in steps. plzzz thats the request.. thank you
This question is from textbook

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Question 190013: the product of the numbers showing on the two dice is less than 10
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Question 190015: The number showing on the red die is greater than the number showing on the blue die.
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Question 190016: Tow bags contain marbles. The first bag contains a red and a blue marble. The second bag contains a red, a blue, a yellow, and a green marble. One marble is drawn from each bag.
a. specify the sample space.
b. specify the event that at least one red marble is drawn.
c. specify the event that neither marble drawn is blue.

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Question 190017: A red, a blue, and a green die are tossed. Let (r,b,g) represent each outcome.
a.how many elements are in the sample space?
b. specify the event that all three dice show the same number
c. specify the event that the sum of numbers showing on the red and blue dice is less than the number showing on the green die.

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Question 190008This question is from textbook
: In an intelligence test administration to 1000 student the average score is 42 and the standard deviation is 24. The score are normally distributed.
1. Number of student whose score exceed 58.
2. Number of student whose score lie between 30 & 66.
3. If 40% student have failed in this intelligence test what is the score below which they have failed.
Given that p(0
This question is from textbook

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Question 190018: In October 2004 the Boston Red Sox won the American League Championship playoff series 4 games to 3 after the New York Yankees had won the first 3 games. This was the first time in the history of Major League baseball that a team had come from a 3-0 deficit to win a 7-game playoff series.
Suppose teams A and B are playing in a series where the winner must win 4 games. And suppose that the games form independent trials where in each game played the probability that A wins is 0.36 and the probability that B wins is 0.64.
What is the probablity one of the teams wins the first 3 games but the other team wins the series?

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Question 189512: The Academy of Orthopedic surgeons states that 90% of U.S women wear shoes that are too small for their feet. A researcher wants to be 95% confident that this proportion is within 2% of the true proportion. How large a sample is necessary?
Can you please show me how you get the answer? Thanks

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Question 190139This question is from textbook
: The bank is considering paying interest to customers carrying average daily balance in excess of a certain amount. If the bank does not want to pay interest to more than 5% of its customers, what is the minimum average daily balance it should be willing to pay interest on?
Given that p(0This question is from textbook

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Question 189502: A physician's health study of the effectiveness of aspirin in the reduction of heart attacks was begun in 1982 and completed in 1987 (see C. Hennekens et al., "Findings from the Aspirin Component of the Ongoing Physician's Health Study," The New England Journal of Medicine 318 (January 28, 1988): 262-264). Of 11,037 male medical doctors in the United States who took one 325 mg buffered aspirin tablet every other day, 104 suffered heart attacks during the five-year period of the study. Of 11,034 male medical doctors in the United States who took a placebo (i.e., a pill that, unknown to the participants in the study, contained no active ingredients), 189 suffered heart attacks during the five-year period of the study. Is there evidence that the proportion having heart attacks is significantly lower for the male medical doctors in the United States who received the buffered aspirin every other day than for those who received a placebo? Does this lead you to believe that taking one buffered aspirin every other day is effective in reducing the incidence of heart attacks? Explain.
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Question 190164: Based on a sample of 3,000 people, the civilian unemployment rate in the United States was 5.5%. the 5.5% is referred to as a _________________.
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Question 190153: a computer password contains 4 digits followed by 2 letters. Find the number of password possibilities if the first digit cannot be 0 and repetition is permitted.
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Question 190152: you are taking a test that contains 5 multiple choice questions with 4 possible answers. you guess at all questions. find the probability that you guess exactly 2 questions correctly.
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Question 190151: at a local deli, 5 out of every 8 people order a turkey club. find the probability that exactly 2 of the next 5 people will order a turkey club.
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Question 190148: A class contains 3 fresh, 4 soph, 6 juniors and 2 seniors. four students are selected at random, find the probability that...
a. all four are juniors
b. no fresh are selected
c. 1 of each year is selected
d.. 2 fresh and 2 juniors

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Question 190275: I would like to verify that i have the answered the problem below correctly, Thanks in advance for the help.
During a certain week in the winter, the following minimum temperatures were recorded in an eastern city: 20, 28, 24, 28, 40, 39, and 31. Find the following:
A. Median
B. Standard Deviation
The answers that I came up with are the following:
A. Median = 28
B. Standard Deviation = 7.371114773221212
I greatly appreciate the help.
Sam

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Question 190261: can someone please help..thanks
Suppose that two teams called the Bears and Wildcats are in a playoff series where the first team to win 3 games wins the series. Let's suppose that for each game they play, the probability that the Bears win is 0.54 and the probability the Wildcats win is 0.46.
What is the probability that the bears win the series in 3 games ? .1574
What is the probability that the wildcats win the series in 3 games? .0973
What is the probability that the bears win the series in 4 games? .216
What is the probability that the wildcats win the series in 4 games? .156
what is the probability that the bears win the series in 5 games?
what is the probability that the wildcats win the series in 5 games?
What is the probability that the bears win the series?
what is the probability that the wildcats win the series ?

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Question 190292: I would like if possible for someone to verify the answers below are correct. Attached is the problem and the answers I came up with. It includes a diagram so hopefully you can understand it without confusion.
Question: Assume it takes 1 minute to serve the first customer in line and that the customer leaves immediately. I will write the minute and the customers with arrived during that particular minute: Minute 1 - A, Minute 2 - B, Minute 3 - C, D, E, Minute 4 - F, Minute 5 - No one arrived.
A. Draw a diagram showing the line during each of the first 5 minutes
B. Find the mean of the number of people in line during the 5 minutes
C. Find the mode of the number of people in line.
The answers I came up with are:
a. Here is the way my diagram should read. Then number is the minute and the letter is the customer or customers:
1st Minute - A
2nd Minute - B
3rd Minute - C,D,E
4th Minute - D,E,F
5th Minute - E,F
b. Mean = 2
c. Mode= 1, 3
I hope you can understand this and many, many thanks in advance for your help.
Sam

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Question 190311: A baseball player hits a homerun on the average of once every 12 times at bat. Use the idea of independent trials to answer the following questions.
If he bats 5 times in a game, what is the probability he will hit exactly one home run?
If he comes to bat 5 times, what is the probability he will hit at least one home run?
If he comes to bat 5 times in a game, what is the expected value for the number of home runs he will hit?
thanks for your help

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Question 190378: What is the mean, median and mode of the following distribution?
Ages Number
40 up to 50 10
50 up to 60 28
60 up to 70 12

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Question 190337: stanbon 21772
having trouble to figure out how you solved the question about the baseball player hits a homerun on the average of once every 12 times at bat= would you mind letting me what to due
thanks

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860