Question

A consumer group claims that Tex-Mex Cantina is over filling its "16 ounce" sodas which is adding unreported calories to the restaurant's meals. A random sample of 29 sodas served at the restaurant had an average volume of 17.4 ounces and a sample standard deviation of 1.7 ounces. At the 1% significance level, test the consumer group's claim by determining the test statistic, the critical value(s), and the conclusion.

Test statistic: 4.36, Critical values: 2.467, Conclusion: Support the claim that the sodas are over filled.

Test statistic: 4.43, Critical values: 2.763, Conclusion: Support the claim that the sodas are over filled.

Test statistic: 4.43, Critical values: 2.467, Conclusion: Support the claim that the sodas are over filled.

Test statistic: 4.43, Critical values: 2.763, Conclusion: Reject the claim that the sodas are over filled.

Test statistic: 4.43, Critical values: 2.462, Conclusion: Reject the claim that the sodas are over filled.

None of these

Answer 1

Given = 17.4 ounce , n= 17, =0.01

H0: =16 ounce

H1: > 16 ounce

Test statictics.

  

critical value of t0.01 for 28 df = 2.763

statistics t > 2.763, Reject Ho

Conclusion is

Test statistic: 4.43, Critical values: 2.763, Conclusion: Support the claim that the sodas are over filled.