Conduct a test of a hypothesis about a population mean
lttlxmntqle
week_3.pdf
8/20/2016 Assignment Print View
http://ezto.mheducation.com/hm.tpx 1/5
1. Award: 10.00 points
2. Award: 10.00 points
A sample of 30 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level. H0 : μ ≤ 20 H1 : μ > 20 a. Is this a one or twotailed test?
"Onetailed"the alternate hypothesis is greater than direction. "Twotailed"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 20.
e. What is the pvalue? (Round your answer to 4 decimal places.)
pvalue
References
Worksheet Difficulty: 2 Intermediate
Learning Objective: 1005 Conduct a test of a hypothesis about a population mean.
At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $86 a day in tips.” Assume the population of daily tips is normally distributed with a standard
8/20/2016 Assignment Print View
http://ezto.mheducation.com/hm.tpx 2/5
3. Award: 10.00 points
deviation of $3.81. Over the first 48 days she was employed at the restaurant, the mean daily amount of her tips was $87.07. At the 0.02 significance level, can Ms. Brigden conclude that her daily tips average more than $86? a. State the null hypothesis and the alternate hypothesis.
H0: μ >86 ; H1: μ = 86 H0: μ = 86 ; H1: μ ≠ 86 H0: μ ≥ 86 ; H1: μ < 86 H0: μ ≤ 86 ; H1: μ > 86
b. State the decision rule.
Reject H0 if z < 2.05 Reject H1 if z > 2.05 Reject H1 if z < 2.05 Reject H0 if z > 2.05
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 pvalue? (Round your answer to 4 decimal places.)
pvalue
References
Worksheet Difficulty: 2 Intermediate
Learning Objective: 1005 Conduct a test of a hypothesis about a population mean.
The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 36 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 26 sales representatives reveals that the mean number of calls made last week was 44. The standard deviation of the sample is 4.5 calls. Using the 0.010 significance level, can we conclude that the mean number of calls per salesperson per week is more than 36? H0 : μ ≤ 36 H1 : μ > 36 1. Compute the value of the test statistic. (Round your answer to 3 decimal places.)
8/20/2016 Assignment Print View
http://ezto.mheducation.com/hm.tpx 3/5
4. Award: 10.00 points
5. Award: 10.00 points
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 36 per week.
References
Worksheet Difficulty: 2 Intermediate
Learning Objective: 1007 Use a t statistic to test a hypothesis.
A United Nations report shows the mean family income for Mexican migrants to the United States is $28,120 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 27 Mexican family units reveals a mean to be $39,750 with a sample standard deviation of $12,765. 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.)
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: 1007 Use a t statistic to test a hypothesis.
8/20/2016 Assignment Print View
http://ezto.mheducation.com/hm.tpx 4/5
6. Award: 10.00 points
The following information is available. H0 : μ ≥ 220 H1 : μ < 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 twotailed test?
Onetailed test Twotailed 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?
Do not reject Reject
e. What is the pvalue? (Round your answer to 4 decimal places.)
pvalue
References
Worksheet Difficulty: 2 Intermediate
Learning Objective: 1005 Conduct a test of a hypothesis about a population mean.
Given the following hypotheses: H0 : μ ≤ 10 H1 : μ > 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.)
8/20/2016 Assignment Print View
http://ezto.mheducation.com/hm.tpx 5/5
7. Award: 10.00 points
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) evidence to conclude that the population mean is greater than 10.
References
Worksheet Difficulty: 2 Intermediate
Learning Objective: 1007 Use a t statistic to test a hypothesis.
Given the following hypotheses: H0 : μ = 400 H1 : μ ≠ 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
Learning Objective: 1007 Use a t statistic to test a hypothesis.
