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Use the data given to test the following hupotheses. Assume the data are normally distributed in the population.

Ho: M=7.48 Ha:m>7.48
xbar = 6.91, n=24, sigma=1.21,alpha=.01

  • statistics -

    Since the sample size is small, you can use a t-test:

    t = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)

    With your data:
    t = (6.91 - 7.48)/(1.21/√24)

    Finish the calculation.

    Check a t-table using n - 1 for degrees of freedom for a one-tailed test at .01 level of significance (the alternate hypothesis is showing a specific direction). If the test statistic exceeds the critical value from the table, reject the null. If the test statistic does not exceed the critical value from the table, do not reject the null.

    You can draw your conclusions from there.

    I hope this will help get you started.

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