Question

# A store owner claims the average age of her customers is 34 years. She took a...

A store owner claims the average age of her customers is 34 years. She took a survey of 36 randomly selected customers and found the average age to be 37.5 years with a standard error of 2.534. Carry out a hypothesis test to determine if her claim is valid.

(b) Find the test statistic:   (Use 4 decimals.)

(c) What is the P-value?   (Use 4 decimals.)

(d) What should the store owner conclude, for α = 0.05?

Reject the initial claim of 34 years. There is sufficient evidence the mean customer age is different than 34.

Do not reject the initial claim of 34 years. There is sufficient evidence the mean customer age is different than 34.

Reject the initial claim of 34 years. There is insufficient evidence the mean customer age is different than 34.

Do not reject the initial claim of 34 years. There is insufficient evidence the mean customer age is different than 34.

(e) If mean customer age really is equal to 35.8 years, but you conclude it is equal to 34 years, which type of error did you make, if any?

Both Type I and Type II error

Type II error

Type I error

The p-value is correct; therefore no error was made