A wine shop wants to serve its white wine at a mean temperature of 50 degrees....

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A wine shop wants to serve its white wine at a mean temperatureof 50 degrees. In a sample of 36 glasses of wine, the mean wasfound to be 53 with a standard deviation of 3. The wine shop isinterested to see if the evidence indicates that the wine shop isnot meeting its temperature standard.
(a) Using a significance level of Î±=0.05, perform a two-tailedhypothesis test to determine if the wine shop is not meeting itstemperature standard. Use the test statistic/critical valueapproach.
(b) Using a significance level of Î±=0.01, perform a two-tailedhypothesis test to determine if the wine shop is not meeting itstemperature standard. Use the test statistic/critical valueapproach.
(c) Repeat part (a), but use the p-value approach.
(d) Repeat part (b), but use the p-value approach.

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4.2 Ratings (836 Votes)

a Given that population meanu50 sample mean x 53 standard deviation s 3 number n36 null Ho 50 alternate H1 50 level of significance 005 from standard normal table two tailed t 2 203 since our test is twotailed reject Ho if to 203 OR if to 203 we use test statistic t xusdsqrtn to 53503sqrt36 to 6 to 6 critical value the value of t with n1 35 df is 203 we got to 6 t 203 ANSWERS null Ho 50 alternate H1 50 test statistic 6 critical value 203 203 b Given that See Answer

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