An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 535 24 Cola 10 559 15 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use ? = 0.05.) State the relevant hypotheses. (Use ?1 for the strawberry drink and ?2 for the cola.) H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≥ 0H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 < 0H0: ?1 − ?2 = 0 Ha: ?1 − ?2 > 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink.Reject H0. The data does not suggest that cola has a higher average compression strength than the strawberry drink. Fail to reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink.Fail to reject H0. The data does not suggest that cola has a higher average compression strength than the strawberry drink. What assumptions are necessary for your analysis? The distributions of compression strengths are the same.The distributions of compression strengths have equal means. The distributions of compression strengths have equal variances.The distributions of compression strengths are approximately normal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

See similar textbooks

Related questions

Question

An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola.

Beverage	Sample Size	Sample Mean	Sample SD
Strawberry Drink	10	535	24
Cola	10	559	15

Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use

? = 0.05.)

State the relevant hypotheses. (Use ?₁ for the strawberry drink and ?₂ for the cola.)

H₀: ?₁ − ?₂ = 0
H_a: ?₁ − ?₂ ≥ 0H₀: ?₁ − ?₂ = 0
H_a: ?₁ − ?₂ ≠ 0 H₀: ?₁ − ?₂ = 0
H_a: ?₁ − ?₂ < 0H₀: ?₁ − ?₂ = 0
H_a: ?₁ − ?₂ > 0

Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)

t	=
P-value	=

State the conclusion in the problem context.

Reject H₀. The data suggests that cola has a higher average compression strength than the strawberry drink.Reject H₀. The data does not suggest that cola has a higher average compression strength than the strawberry drink. Fail to reject H₀. The data suggests that cola has a higher average compression strength than the strawberry drink.Fail to reject H₀. The data does not suggest that cola has a higher average compression strength than the strawberry drink.

What assumptions are necessary for your analysis?

The distributions of compression strengths are the same.The distributions of compression strengths have equal means. The distributions of compression strengths have equal variances.The distributions of compression strengths are approximately normal.

Expert Solution