Solution-Compute the value of the test statistic

Compute the value of the test statistic

Assignment Help Basic Statistics

Reference no: EM131050467

1. A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.

H₀ : μ ≤ 26
H₁ : μ > 26

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.)

H₀, when z >

c. What is the value of the test statistic? (Round your answer to 2 decimal places.)

d. What is your decision regarding H0?

There is evidence to conclude that the population mean is greater than 26.

e. What is the p-value? (Round your answer to 4 decimal places.)

2. At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, "You can average $82 a day in tips." Assume the population of daily tips is normally distributed with a standard deviation of $3.26. Over the first 44 days she was employed at the restaurant, the mean daily amount of her tips was $84.61. At the 0.02 significance level, can Ms. Brigden conclude that her daily tips average more than $82?

a. State the null hypothesis and the alternate hypothesis.

H₀: μ ≥ 82 ; H₁: μ < 82

H₀: μ = 82 ; H₁: μ ≠ 82

H₀: μ >82 ; H₁: μ = 82

H₀: μ ≤ 82 ; H₁: μ > 82

b. State the decision rule.

Reject H₁ if z > 2.05

Reject H₀ if z < 2.05

Reject H₀ if z > 2.05

Reject H₁ if z < 2.05

c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

d. What is your decision regarding H0?

e. What is the p-value? (Round your answer to 4 decimal places.)

3. 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 29 sales representatives reveals that the mean number of calls made last week was 41. The standard deviation of the sample is 2.4 calls. Using the 0.050 significance level, can we conclude that the mean number of calls per salesperson per week is more than 39?

H₀ : μ ≤ 39
H₁ : μ > 39

a. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

b. What is your decision regarding H₀?

H₀. The mean number of calls is than 39 per week.

4. United Nations report shows the mean family income for Mexican migrants to the United States is $28,540 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 28 Mexican family units reveals a mean to be $34,120 with a sample standard deviation of $10,050. 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: μ =

H₁: μ ≠

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.)

c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

d. Does this information disagree with the United Nations report? Apply the 0.01 significance level.

The following information is available.

H₀ : μ ≥ 220

H₁ : μ < 220

5. 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?

b. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

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.)

d. What is your decision regarding H0?

e. What is the p-value? (Round your answer to 4 decimal places.)

H₀ : μ ≤ 10

H₁ : μ > 10

6. 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.)

b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

c. What is your decision regarding the null hypothesis?

H₀. There is evidence to conclude that the population mean is greater than 10

H₀ : μ = 400

H₁ : μ ≠ 400

7. 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.)

b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

c. What is your decision regarding the null hypothesis?

Reference no: EM131050467

Questions Cloud

Case study - the summerlin development in las vegas : Finance 351: Principles of Real Estate - the Summerlin development in Las Vegas, Nevada will be used as the basis of your analysis. The objective is to first review the development and then choose a topic that interests you.

Standard deviation of the portfolio : Security F has an expected return of 10 percent and a standard deviation of 26 percent per year. Security G has an expected return of 17 percent and a standard deviation of 58 percent per year. We form a portfolio composed of 30 percent of security F..

Portfolio expected returns-stock portfolio : You have $10,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 15 percent and Stock Y with an expected return rate of 9 percent. If your goal is to create a portfolio with an expected return of 13.30 percent, how..

Two bond issues outstanding-bond issue has face value : Dinklage Corp. has 6 million shares of common stock outstanding. The current share price is $85, and the book value per share is $8. The company also has two bond issues outstanding. The first bond issue has a face value of $65 million, a coupon of 8..

Compute the value of the test statistic : Compute the value of the test statistic. What is your decision regarding H0? H0. The mean number of calls is than 39 per week.

Sample of male and female employees : Salary information for a random sample of male and female employees of a large company is shown below.

One reason why the efficient capital market hypothesis : One reason why the efficient capital market hypothesis may not hold in reality is that

Prepared to make equal annual deposits into the account : You want to have $85,000 in your savings account 13 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. If the account pays 7.30 percent interest, what amount must you deposit each year?

Determine the unbiased point estimates of the mean : Determine the unbiased point estimates of the mean and the standard deviation for the above sample. [Round your answer to two decimal places.]

User Account

All Pages

Compute the value of the test statistic

Reference no: EM131050467

Reference no: EM131050467

Questions Cloud

Reviews

Write a Review

Basic Statistics Questions & Answers

Statistics-probability assignment

What is the least number

Determine the value of k

What is the probability

Binomial distributions

Caselet on mcdonald’s vs. burger king - waiting time

Generate descriptive statistics

Sampling variability and standard error

Estimate the population mean

Conduct a marketing experiment

Find out the probability

Linear programming models

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT