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    Hypothesis Testing

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    Background:The Waterhole bar & grill decided to run a special offer of a free fried zucchini appetizer with the purchase of a pitcher of beer & a sandwich for Monday nights only during the height of the baseball season. A loyal customer who loves baseball and grows vegetables agreed to supply the squash free. Management's objective was to exceed last year's average Monday night sales volume of $1,900. The data for the 12-week period during the fried zucchini special is as follows:
    2200.0000
    2400.0000
    2100.0000
    2250.0000
    1800.0000
    1950.0000
    2500.0000
    2600.0000
    2650.0000
    1600.0000
    2700.0000
    1850.0000

    Column1

    Mean 2216.666667
    Standard Error 105.049291
    Median 2225
    Mode #N/A
    Standard Deviation 363.9014186
    Sample Variance 132424.2424
    Kurtosis -1.184201101
    Skewness -0.219902642
    Range 1100
    Minimum 1600
    Maximum 2700
    Sum 26600
    Count 12

    I am trying to solve what is the appropriate null hypotheses for the restaurant above to test: conclude that HO:mu<$1,900
    and the value of the test statistic is: 3.01

    I having difficulty understanding based on the data and at alpha=0.01, what can the restaurant above management conclude? Decide on: if sales during the zucchini special were no differ. from last year or Sales during the zucchini special decreased from last year or Sales during the zucchini special increased from last year or No conclusion can be drawn.

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    https://brainmass.com/statistics/hypothesis-testing/hypothesis-testing-9478

    Solution Preview

    Ho: mu < $1900.
    Solution:
    <X> = sample mean = 2216.67
    s = standard deviation = 363.9014186
    n = 12 (small sample : t analysis)
    degree of freedom = 12-1 = 11
    because,
    mu = <X> - t(a)*s/sqrt(n) < ...

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