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    QNT 351 Week 3 Connect Problem Set

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    116117Math
    This document provides details and questions for 7 multiple choice questions testing understanding of hypothesis testing using student's t-distribution. The questions cover topics such as identifying one-tailed vs two-tailed tests, determining decision rules based on significance levels, calculating test statistics, and making conclusions regarding null hypotheses. Sample sizes range from 10 to 64 observations drawn from normal populations. Null hypotheses include claims about population means being less than, equal to, or greater than specific values.

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    QNT 351 Week 3 Connect Problem Set

    Uploaded by

    116117Math
    570 views5 pages
    This document provides details and questions for 7 multiple choice questions testing understanding of hypothesis testing using student's t-distribution. The questions cover topics such as identifying one-tailed vs two-tailed tests, determining decision rules based on significance levels, calculating test statistics, and making conclusions regarding null hypotheses. Sample sizes range from 10 to 64 observations drawn from normal populations. Null hypotheses include claims about population means being less than, equal to, or greater than specific values.

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    This document provides details and questions for 7 multiple choice questions testing understanding of hypothesis testing using student's t-distribution. The questions cover topics such as identifying one-tailed vs two-tailed tests, determining decision rules based on significance levels, calculating test statistics, and making conclusions regarding null hypotheses. Sample sizes range from 10 to 64 observations drawn from normal populations. Null hypotheses include claims about population means being less than, equal to, or greater than specific values.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    570 views5 pages

    QNT 351 Week 3 Connect Problem Set

    Uploaded by

    116117Math
    This document provides details and questions for 7 multiple choice questions testing understanding of hypothesis testing using student's t-distribution. The questions cover topics such as identifying one-tailed vs two-tailed tests, determining decision rules based on significance levels, calculating test statistics, and making conclusions regarding null hypotheses. Sample sizes range from 10 to 64 observations drawn from normal populations. Null hypotheses include claims about population means being less than, equal to, or greater than specific values.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 5

    QNT 351 Entire Course

    Entire Course Download Link:


    https://uopcourses.com/category/qnt-351/

    Score:70/70Points100%
    1.
    A sample of 43 observations is selected from a normal population. The
    sample mean is 30, and the population standard deviation is 3. Conduct the
    following test of hypothesis using the 0.05 significance level.
    H0 : 29
    H1 : > 29

    a. Is this a one- or two-tailed test?

    b.What is the decision rule? (Round your answer to 3 decimal places.)

    c.

    What is 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.)

    p-value

    2.
    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 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.
    b. State the decision rule.

    c.

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

    the

    test

    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 43 sales
    calls per week on professors. Several reps say that this estimate is too low. To
    investigate, a random sample of 41 sales representatives reveals that the mean
    number of calls made last week was 44. The standard deviation of the sample is 2.9
    calls. Using the 0.100 significance level, can we conclude that the mean number of
    calls per salesperson per week is more than 43?
    H0 : 43
    H1 : > 43
    1. Compute the value of the test statistic. (Round your answer to 3 decimal
    places.)
    Value of
    statistic

    the

    test

    2. What is your decision regarding H0?

    4.
    A United Nations report shows the mean family income for Mexican migrants to the
    United States is $27,150 per year. A FLOC (Farm Labor Organizing Committee)
    evaluation of 30 Mexican family units reveals a mean to be $29,500 with a sample
    standard deviation of $11,150. 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.)

    c.

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

    d.

    the

    test

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

    5.
    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?
    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.)

    6.
    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?

    7.
    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.)

    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?

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