Question

Write an accurate concluding statement for the following hypothesis tests.

(a) You claim that the mean volume of all 12 ounce cans of Fizzy Pop is less than 12 ounces. After analyzing the data and performing a hypothesis test, you fail to reject the null hypothesis.

(b) Fizzy Pop claims that most 12 ounce cans of Fizzy Pop contain more than 12 ounces. After analyzing the data and performing a hypothesis test, you reject the null hypothesis.

(c) You claim that the average speed of cars going down a certain stretch of highway is 72 mph. After analyzing the data and performing a hypothesis test, you fail to reject the null hypothesis.

Answer 1

(a) The Hypothesis:

H0: = 12

Ha: < 12 (Claim)

Decision: Fail To Reject the null Hypothesis.

Conclusion: There isn't sufficient evidence (at the x significance level) to support the claim that the mean volume of all 12 ounce cans of Fizzy Pop is less than 12 ounces

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(b) The Hypothesis:

H0: 12

Ha: > 12 (Claim)

Decision: Fail To Reject the null Hypothesis.

Conclusion: There isn't sufficient evidence (at the x significance level) to support the claim that the mean volume of most 12 ounce cans of Fizzy Pop is more than 12 ounces

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(c) The Hypothesis:

H0: = 72 (Claim)

Ha: 72

Decision: Fail To Reject the null Hypothesis.

Conclusion: There isn't sufficient evidence (at the x significance level) to warrant rejection of the claim that the average speed of cars going down a certain stretch of highway is 72 mph.

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