Question

Q1

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

a. Calculate the sample mean and standard deviation.

x̄ =

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

Q2

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=0.139

H1 : p < 0.139

x =6

n=74

α =0.025

Standard Normal Distribution Table

a. Calculate the test statistic.

z=

Round to two decimal places if necessary

Enter 0 if normal approximation to the binomial cannot be used

b. Determine the critical value(s) for the hypothesis test.

• +

Round to two decimal places if necessary

Enter 0 if normal approximation to the binomial cannot be used

c. Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject

Cannot Use Normal Approximation to Binomial

PLEASE BE CLEAR.

Answer 1