Statistics Analysis

Description

Please, answer questions below and show work per question:

Question 1 (1 point)

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

What is the lower endpoint?
Question 1 options:

a) 5.0

b) 5.2

c) 3.0

d) 7.0

Question 2 (1 point)

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

What is the upper endpoint?
Question 2 options:

a) 5.1

b) 5.2

c) 3.0

d) 7.0

Question 3 (1 point)

A manager records the repair cost for randomly selected stereos. A sample mean of and standard deviation of are subsequently computed. Determine the confidence interval for the mean repair cost for the stereos. Assume the population is approximately normal.

Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Question 3 options:

a) 1.282

b) 75.996 and 88.744

c) 1.337

d) 76.259 and 88.481

Question 4 (1 point)

A manager records the repair cost for randomly selected stereos. A sample mean of and standard deviation of are subsequently computed. Determine the confidence interval for the mean repair cost for the stereos. Assume the population is approximately normal. Construct the confidence interval. Round your answer to two decimal places.

What is the Lower endpoint?
Question 4 options:

a) 1.28

b) 1.34

c) 76.26

d) 75.99

Question 5 (1 point)

A manager records the repair cost for randomly selected stereos. A sample mean of and standard deviation of are subsequently computed. Determine the confidence interval for the mean repair cost for the stereos. Assume the population is approximately normal. Construct the confidence interval. Round your answer to two decimal places.

What is the Upper endpoint?
Question 5 options:

a) 88.75

b) 88.48

c) 1.28

d) 1.34

Question 6 (1 point)

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in
California. He believes that the mean income is , and the variance is known to be . How large of a sample would be required in order to estimate the mean per capita income at the level of confidence with an error of at most ? Round your answer up to the next integer.

Question 6 options:

a) 321182

b) 2606

c) 75

d) 9236

Question 7 (1 point)

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic.

Suppose a sample of new car buyers is drawn. Of those sampled, preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Question 7 options:

a) 0.760

b) 4.168

c) 0.240

d) Not enough information is given to determine the answer.

Question 8 (1 point)

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over
domestic.

Suppose a sample of new car buyers is drawn. Of those sampled, preferred foreign over domestic cars. Using the data, construct the confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answer to three decimal places.

What is the lower endpoint?
Question 8 options:

a) 0.240

b) 0.224

c) 0.219

d) 0.221

Question 9 (1 point)

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over
domestic.

Suppose a sample of new car buyers is drawn. Of those sampled, preferred foreign over domestic cars. Using the data, construct the confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answer to three decimal places.

What is the upper endpoint?
Question 9 options:

a) 0.259

b) 0.240

c) 0.261

d) 0.256

Question 10 (1 point)

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the gram setting. Is there sufficient evidence at the level that the bags are overfilled? Assume the population is normally distributed.

State the null hypotheses for the above scenario. H0 :__
Question 10 options:

a)

b)

c) <

d)

Question 11 (1 point)

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the gram setting. Is there sufficient evidence at the level that the bags are overfilled? Assume the population is normally distributed.

State the alternative for the above scenario. Ha{"version":"1.1","math":"Ha"}:__

Question 11 options:

a) μ< 414

b) μ≠ 414

c) μ> 414

d) μ = 414

Question 12 (1 point)

The director of research and development is testing a new medicine. She wants to know if there is evidence at the level that the medicine relieves pain in more than seconds. After performing a hypothesis test, she decides to reject the null hypothesis.

What is the conclusion?
Question 12 options:

a) There is sufficient evidence at the level of significance that the medicine relieves pain in more than seconds.

b) There is not sufficient evidence at the level of significance that the medicine relieves pain in more than seconds.

Question 13 (1 point)

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of voters in the town and found that of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than .

What is the null and alternative hypotheses.
Question 13 options:

a) H0 : p > 0.74, Ha : p = 0.74

b) H0 : p < 0.74, Ha : p = 0.74

c) H0 : p = 0.74, Ha : p < 0.74

d) H0 : p = 0.74, Ha : p > 0.74

Question 14 (1 point)

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of voters in the town and found that of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than.

Find the value of the test statistic. Round your answer to two decimal places.
Question 14 options:

a) 2.58

b) -2.58

c) 0.78

d) 0.74

Question 15 (1 point)

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of voters in the town and found that of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than. Specify if the test is one-tailed or two-tailed.
Question 15 options:

a) One-Tailed Test

b) Two-Tailed Test

Question 16 (1 point)

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of voters in the town and found that of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than.

Determine the decision rule for rejecting the null hypothesis, Ho.
Question 16 options:

a) Reject H0 if z < 1.645

b) Reject H0 if z > 1.645

c) Reject H0 if z > -1.645

d) Reject H0 if z < -1.645

Question 17 (1 point)

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of voters in the town and found that of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than.

Make the decision to reject or fail to reject the null hypothesis.
Question 17 options:

a) Reject Null Hypothesis

b) Fail to Reject the Null Hypothesis

Question 18 (1 point)

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of voters in the town and found that of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than.

State the conclusion of the hypothesis test.
Question 18 options:

a) There is sufficient evidence to support the claim that the percentage of residents who favor annexation is more than.

b) There is not sufficient evidence to support the claim that the percentage of residents who favor annexation is more than.

Sample Solution