The manufacturer of a popular soft drink claims that cans of this drink contain 12 fluid ounces. A consumer group is suspicious of this claim and believes the amount in each can is less than 12 fluid ounces. A random sample of 18 cans is selected and the amount in each can is measured. The results are as follows:

11.7 11.8 12.0 11.5 12.0 12.1

12.0 11.9 11.6 11.7 11.8 11.9

12.2 12.1 11.7 12.0 11.8 11.7

1.State the appropriate null hypothesis H₀.

2.State the appropriate alternative hypothesis H_A.

3.Calculate the sample mean . Express its value to two decimal places (to the hundredths place).

4.Calculate the sample standard deviation s. Round its value to two decimal places (to the nearest hundredth).

5.State the number of degrees of freedom (d.f.) that will be used to test the null hypothesis.

6.Calculate the value of the t - test statistic. Round its value to two decimal places (to the nearest hundredth).

7.Calculate the P-value using the following link: http://www.statdistributions.com/t/

8.Is the null hypothesis H₀ rejected at the 5% (.05) level? Note: The actual credit awarded for this item will be based on your answer to #7.

9.Do the data provide evidence to confirm the consumer group's suspicion? Note: The actual credit awarded for this item will be based on your answer to #8.