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The restaurant manager is testing the bartender's ability to pour $45mL$ 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: Note: The data appears to be approximately normally distributed. Test the bartender's ability to pour $45mL$ at the $5%$ level of significance. a. Calculate the sample mean and standard deviation. $x=$ Round to three decimal places if necessary
$x=$ Round to three decimal places if necessary $s=$ Round to three decimal places if necessary b. Calculate the test statistic. $t=$ Round to three decimal places if necessary c. Determine the critical value(s) for the hypothesis test. Round to three decimal places if necessary
d. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject

Given: ?0=45,n=12,?=0.05To test,H0:?=?0=45 Vs H1:??45 (Two tailed)We prepare the following table:xixi^2482304452025441936