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A company that makes spirits states that the mean alcohol content per one-liter

ID: 3350511 • Letter: A

Question

A company that makes spirits states that the mean alcohol content per one-liter bottle of its vodka is 500 ml. You believe that they are incorrect and decide to test their claim. During your tests, you find that a random sample of 33 one-liter bottles of vodka has a mean alcohol content of 523.59 ml with a standard deviation of 93.58 ml. Based on this information, you decide to:

a: Reject the null at the 0.01 level of significance

b. Fail to reject the null at the 0.05 level of significance

c. Normality not established; do not test

d. Reject the null at the 0.05 level of significance

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 500
HA : 500

Hypothesis test results:

Since p - value is greater than 0.05, we fail to reject the null at the 0.05 level of significance.

Option B is correct.

Mean Sample Mean Std. Err. DF T-Stat P-value 523.59 16.290187 32 1.4481111 0.1573
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