The restaurant manager is testing the bartender’s ability to pour 45 mL of spirits correctly into a mixed drink. The manager has the bartender pour water into 12 shot glasses to test their ability to pour the correct amount of spirits:
48 45 44 43 46 47 42 46 47 45 47 49
Note: The data appears to be approximately normally distributed.
Test the bartender’s ability to pour 45 mL at the 5% level of significance.
T-Distribution Table
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a. Calculate the sample mean and standard deviation.
x̄ =
Round to three decimal places if necessary
s=
Round to three decimal places if necessary
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b. Calculate the test statistic.
t=
Round to three decimal places if necessary
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c. Determine the critical value(s) for the hypothesis test.
• +
Round to three decimal places if necessary
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d. Conclude whether to reject the null hypothesis or not based on the test statistic.
Reject
Fail to Reject