a marketing research company desires to know the mean consumption of potatoes per week among people...

a marketing research company desires to know the mean consumption of potatoes per week among people over age 49. They believe that potatoes consumption has a mean of 4.2 pounds and want to construct a 95% confidence interval with a maximum error of .05 pounds. Assuming a variance of 1.44 pounds, what is the minimum number of people over age 49 they must include in their sample?

A)1960

B)2401

C)49

D)2213

E)297

Solutions

Expert Solution

Solution :

Given that,

variance = 2 = 1.44

Population standard deviation = = 2 = 1.44 = 1.2

Margin of error = E = 0.05

At 95% confidence level the z is,

= 1 - 95%

= 1 - 0.95 = 0.05

/2 = 0.025

Z/2 = Z0.025 = 1.96

sample size = n = [Z/2* / E] 2

n = [1.96 * 1.2 / 0.05 ]2

n = 2212.76

Sample size = n = 2213

correct option is = D

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A marketing research company desires to know that mean consumption of milk per week among people...

A marketing research company desires to know that mean consumption of milk per week among people over age 31. They believe that the milk consumption has a mean of 4.6 L I want to construct a 90% confidence interval with the maximum error of 0.08 L. Assuming you variance of 0.81 L what is the minimum number of people over age 31 they must include in their sample round your answer up to the next integer

A marketing research company desires to know the mean consumption of milk per week among males...

A marketing research company desires to know the mean consumption of milk per week among males over age 3232. A sample of 710710 males over age 3232 was drawn and the mean milk consumption was 4.64.6 liters. Assume that the population standard deviation is known to be 0.80.8 liters. Construct the 98%98% confidence interval for the mean consumption of milk among males over age 3232. Round your answers to one decimal place.

A marketing research company desires to know the mean consumption of milk per week among males...

A marketing research company desires to know the mean consumption of milk per week among males over age 22. A sample of 715 males over age 22 was drawn and the mean milk consumption was 4.2 liters. Assume that the population standard deviation is known to be 1.3 liters. Construct the 90% confidence interval for the mean consumption of milk among males over age 22. Round your answers to one decimal place.

A tele-marketing company wants to know if sales go up as they call more people per...

A tele-marketing company wants to know if sales go up as they call more people per day but spend less time per call. The following is the data from nine randomly selected days. The information is the number of calls the salesperson makes in a day and the total amount of sales (in thousands of dollars). Calls 25 29 33 37 43 48 52 55 67 Sales 3.7 4.2 4.2 5.0 4.7 5.3 4.9 5.6 5.9 a. Calculate ∑X, ∑X2,...

The mean volume of customer traffic in a new store is 927 people per week with...

The mean volume of customer traffic in a new store is 927 people per week with a standard deviation of 86. Answer the following questions based on these data. Write out what P() would be for each. a. What is the probability that more than 1,000 customers visit the store in a given week? b. What is the probability that less than 800 customers visit the store in a given week? c. What is the probability that between 900 and...

A political polling company wants to know if there are differences among people of different political...

A political polling company wants to know if there are differences among people of different political parties with respect to their views on a bill recently proposed in Congress. The company conducted a survey of 300 people and got the following results. Do the results support the hypothesis that there are differences among people in different political parties regarding their views on this bill? (Use a = 0.10) Republicans Democrats Independents Strongly Agree 50 10 20 Agree 20 10 15...

A researcher desires to know whether the typing speed of a secretary (in words per minute)...

A researcher desires to know whether the typing speed of a secretary (in words per minute) is related to the time (in hours) that it takes the secretary to learn to use a new word processing program. The data are shown. Speed x Time y 48 7 74 4 52 8 79 3.5 83 2 56 6 85 2.3 63 5 88 2.1 74 4.5 90 1.9 92 1.5 If there is a significant relationship, predict the time it will...

1. A researcher desires to know whether the typing speed of a secretary (in words per...

1. A researcher desires to know whether the typing speed of a secretary (in words per minute) is related to the time (in hours) that it takes the secretary to learn to use a new word processing program. The data are shown below. Speed 48 74 52 79 83 56 85 63 88 74 90 92 Time 7 4 8 3.5 2 6 2.3 5 2.1 4.5 1.9 1.5 First, make a scatter plot of the data. Next, find the...

A marketing company wants to know if people are more likely to buy gas between 5...

A marketing company wants to know if people are more likely to buy gas between 5 PM and 6 PM than 4 PM and 5 PM. Out of 96 cars driving by between 4 & 5, 72 stopped for gas. Out of 105 cars between 5 and 6, 90 stopped for gas. Out of 105 cars between 5 and 6, 90 stopped for gas. Using a one sided hypothesis test with a 90% confidence level, which of the following statements...

Imagine we sampled 9 people. The sample mean of cigarettes per week was 5. The sample...

Imagine we sampled 9 people. The sample mean of cigarettes per week was 5. The sample standard deviation was 2. What is the 99% confidence interval for the true mean of cigarettes per week? Show work.

Subjects