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    Hypothesis Testing Problems

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    For each problem below, answer the following

    1. State the Ho
    2. State the H1
    3. Find the critical value
    4. Determine the test statistic. Explain
    5. State the decision rule
    6. Show the decision rule graphically
    7. Determine the computed value of the test statistic
    8. Determine the p-value
    9. What is your decision?
    10. Interpret the decision

    1. Tom Sevits is the owner of the Appliance Patch. Recently Tom observed a difference in the
    dollar value of sales between the men and women he employs as sales associates. A sample
    of 40 days revealed the men sold a mean of $1,400 worth of appliances per day with a
    standard deviation of $200. For a sample of 50 days, the women sold a mean of $1,500
    worth of appliances per day with a standard deviation of $250. At the .05 significance level
    can Mr. Sevits conclude that the mean amount sold per day is larger for the women?

    2. Of 150 adults who tried a new peach-flavored peppermint patty, 87 rated it excellent. Of 200
    children sampled, 123 rated it excellent. Using the .10 level of significance, can we conclude
    that there is a significant difference in the proportion of adults and the proportion of children
    who rate the new flavor excellent?

    3. The production manager at Bellevue Steel, a manufacturer of wheelchairs, wants to compare
    the number of defective wheelchairs produced on the day shift with the number on the
    afternoon shift. A sample of the production from 6 day shifts and 8 afternoon shifts revealed
    the following number of defects.
    Day 5 8 7 6 9 7
    Afternoon 8 10 7 11 9 12 14 9
    At the .05 significance level, is there a difference in the mean number of defects per shift?

    4. Advertisements by Sylph Fitness Center claim that completing their course will result in
    losing weight. A random sample of eight recent participants showed the following weights
    before and after completing the course. At the .01 significance level, can we conclude the
    students lost weight?

    Name Before After
    Hunter 155 154
    Cashman 228 207
    Mervine 141 147
    Massa 162 157
    Creola 211 196
    Peterson 164 150
    Redding 184 170
    Poust 172 165

    5. The Grand Strand Family Medical Center is specifically set up to treat minor medical emergencies
    for visitors to the Myrtle Beach area. There are two facilities, one in the Little River
    Area and the other in Murrells Inlet. The Quality Assurance Department wishes to compare
    the mean waiting time for patients at the two locations. Samples of the waiting times, reported
    in minutes, follow:
    Location Waiting Time
    Little River 31.73 28.77 29.53 22.08 29.47 18.60 32.94 25.18 29.82 26.49
    Murrells Inlet 22.93 23.92 26.92 27.20 26.44 25.62 30.61 29.44 23.09 23.10 26.69 22.31

    At the .05 significance level, is there a difference in the mean waiting time?

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    Solution Summary

    The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.