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[answered] 1. Award: 10.00 points A sample of 40 observations is selec

I need help with the following questions. Any help would be appreciated.

1. Award: 10.00 points A sample of 40 observations is selected from a normal population. The sample mean is 31, and the

population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance

level. H0 : ? ? 30

H1 : ? > 30 a. Is this a one? or two?tailed test? "One?tailed"?the alternate hypothesis is greater than direction. "Two?tailed"?the alternate hypothesis is different from direction. b. What is the decision rule? (Round your answer to 3 decimal places.) (Click to select) H0, when z > c. What is the value of the test statistic? (Round your answer to 2 decimal places.) Value of the test statistic d. What is your decision regarding H0? Reject Do not reject There is (Click to select) evidence to conclude that the population mean is greater than 30. e. What is the p?value? (Round your answer to 4 decimal places.) p?value References

Worksheet Difficulty: 2

Intermediate Learning Objective: 10?05 Conduct a test

of a hypothesis about a population mean. 2. Award: 10.00 points At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, ?You can

average $83 a day in tips.? Assume the population of daily tips is normally distributed with a standard deviation of $4.07. Over the first 45 days she was employed at the restaurant, the mean daily amount of

her tips was $84.86. At the 0.05 significance level, can Ms. Brigden conclude that her daily tips average

more than $83? a. State the null hypothesis and the alternate hypothesis. H0: ? >83 ? H1: ? = 83

H0: ? ? 83 ? H1: ? < 83 H0: ? ? 83 ? H1: ? > 83

H0: ? = 83 ? H1: ? ? 83 b. State the decision rule. Reject H0 if z > 1.65

Reject H1 if z < 1.65 Reject H0 if z < 1.65

Reject H1 if z > 1.65 c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic d. What is your decision regarding H0? Do not reject H0 Reject H0 e. What is the p?value? (Round your answer to 4 decimal places.) p?value References

Worksheet Difficulty: 2

Intermediate Learning Objective: 10?05 Conduct a test

of a hypothesis about a population mean. 3. Award: 10.00 points The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing

company, claims that the sales representatives make an average of 39 sales calls per week on

professors. Several reps say that this estimate is too low. To investigate, a random sample of 45 sales

representatives reveals that the mean number of calls made last week was 44. The standard deviation of

the sample is 2.6 calls. Using the 0.010 significance level, can we conclude that the mean number of calls

per salesperson per week is more than 39? H0 : ? ? 39

H1 : ? > 39 1. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic 2. What is your decision regarding H0? (Click to select) H0. The mean number of calls is (Click to select) than 39 per week. References

Worksheet Difficulty: 2

Intermediate Learning Objective: 10?07 Use a t statistic

to test a hypothesis. 4. Award: 10.00 points A United Nations report shows the mean family income for Mexican migrants to the United States is

$27,300 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 20 Mexican family units

reveals a mean to be $28,500 with a sample standard deviation of $9,651. Does this information disagree

with the United Nations report? Apply the 0.01 significance level.

a. State the null hypothesis and the alternate hypothesis. H0: ? = H1: ? ? b. State the decision rule for .01 significance level. (Negative amounts should be indicated by a minus

sign. Round your answers to 3 decimal places.) Reject H0 if t is not between and c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic d. Does this information disagree with the United Nations report? Apply the 0.01 significance level. (Click to select) . This data (Click to select) the report. References

Worksheet Difficulty: 2

Intermediate Learning Objective: 10?07 Use a t statistic

to test a hypothesis. 5. Award: 10.00 points The following information is available. H0 : ? ? 220 H1 : ? < 220 A sample of 64 observations is selected from a normal population. The sample mean is 215, and the

population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance

level. a. Is this a one? or two?tailed test? Two?tailed test One?tailed test b. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your

answer to 2 decimal places.) (Click to select) H0 when z < c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign.

Round your answer to 3 decimal places.) Value of the test statistic d. What is your decision regarding H0? Reject Do not reject e. What is the p?value? (Round your answer to 4 decimal places.) p?value References

Worksheet Difficulty: 2

Intermediate Learning Objective: 10?05 Conduct a test

of a hypothesis about a population mean. 6. Award: 10.00 points Given the following hypotheses: H0 : ? ? 10

H1 : ? > 10 A random sample of 10 observations is selected from a normal population. The sample mean was 12 and

the sample standard deviation 3. Using the .05 significance level: a. State the decision rule. (Round your answer to 3 decimal places.) Reject H0 if t > b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic c. What is your decision regarding the null hypothesis? (Click to select) H0. There is (Click to select)

population mean is greater than 10. evidence to conclude that the References

Worksheet Difficulty: 2

Intermediate Learning Objective: 10?07 Use a t statistic

to test a hypothesis. 7. Award: 10.00 points Given the following hypotheses: H0 : ? = 400 H1 : ? ? 400 A random sample of 12 observations is selected from a normal population. The sample mean was 407 and

the sample standard deviation 6. Using the .01 significance level: a. State the decision rule. (Negative amount should be indicated by a minus sign. Round your

answers to 3 decimal places.) Reject H0 when the test statistic is (Click to select) the interval ( , b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic c. What is your decision regarding the null hypothesis? Reject Do not reject References

Worksheet Difficulty: 2

Intermediate LearningObjective: 10?07 Use a t statistic

to test a hypothesis. ).

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