A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. A random sample of 11 bottles of regular cola has a mean of 498.3mL of soda with a standard deviation of 2.2mL. A random sample of 17 bottles of diet cola has a mean of 501.7mL of soda with a standard deviation of 4.5mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a 0.10 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to fill bottles of regular cola and diet cola. Let bottles of regular colabe Population1 and letbottles of diet cola be Population2.

Step 1 of 3:

State the null and alternative hypotheses for the test. Fill in the blank below.

H0: 1=2

Ha::12

A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. A random sample of 11 bottles of regular cola has a mean of 498.3mL of soda with a standard deviation of 2.2mL. A random sample of 17 bottles of diet cola has a mean of 501.7mL of soda with a standard deviation of 4.5mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a 0.10 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to fill bottles of regular cola and diet cola. Let bottles of regular colabe Population1 and letbottles of diet cola be Population2.

Step 2 of 3:

Compute the value of the test statistic. Round your answer to three decimal places.

Step 3 of 3:

Draw a conclusion and interpret the decision.

A.) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significanceto say that there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola.

B.) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to say thatthere is a difference between the mean amounts of soda put in bottles of regular cola and diet cola.

C.) We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to say that there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola.

D.) We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significanceto say there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola.