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 2% level of significance.

Determine if the conditions required for the normal approximation to the binomial are met. If so, calculate the test statistic, determine the critical value(s), and use that to decide whether there is sufficient evidence to reject the null hypothesis or not at the given level of significance.

H0:p=0.1390:=0.139

H1:p<0.1391:<0.139

xn=5=77=0.1

Test the claim that the average weight of a new SUV is 1,940 kg, if a sample of 311 vehicle weights results in a sample mean of 1,932 kg, with a standard deviation of 62.9 kg. Use a 2% level of significance.