Question

A car company has made attracting younger customers a priority. Prior to a recent ad campaign aimed at younger customers, the average age of the company's customers was 52 years old. After running the ad campaign, the company collected information on the ages of its new customers. The car company conducts a one-mean hypothesis at the 5% significance level, to test whether the mean customer age is less than 52 years old.

(a) H0:μ=52; Ha:μ<52, which is a left-tailed test.

(b) The ages of a random sample of 20 customers are shown in the following table. Use Excel to test whether the mean customer age is less than 52 years old. Identify the test statistic, t, rounding to two decimal places, and p-value, rounding to three decimal places from the Excel output.

Age (years) 40 41 44 35 53 58 52 51 51 64 29 51 51 44 42 38 47 57 56 37

Provide your answer below: test statistic= p-value=

Answer 1

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Test statistic=-2.497

P-value=0.010

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