A bakery wants to determine whether there is a difference between the male and f

Question

A bakery wants to determine whether there is a difference between the male and female bakers when it comes to baking a chocolate pudding pie. They randomly sample 145 bakers with the following results: (5 Part Question)

Men: average time = 50 minutes, standard deviation = 10 minutes; n = 64
Women: average time = 45 minutes, standard deviation = 12 minutes; n = 81

A)

Suppose you want to test at the .05 significance level. Is this a 1-tailed test or a 2-tailed test?

B)

Suppose you want to test at the .05 significance level. What's the critical value and region of the rejection?

C)

Suppose you want to test at the .05 significance level. What's the calculated test statistic?

D)

Test at the .05 significance level. What's the conclusion?

E)

Suppose you want to test at the .05 significance level. After drawing a conclusion, what kind of error(s) can you possibly make here?

Explanation / Answer

The statistical software output for this problem is:

Two sample Z summary hypothesis test:
?1 : Mean of population 1 (Std. dev. = 10)
?2 : Mean of population 2 (Std. dev. = 12)
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 ? 0

Hypothesis test results:

Hence,

A) 2 - tailed

B) Z > 1.96 or Z < -1.96

C) Z = 2.73

D) We reject H0. There is a significant difference in mean baking time between men & women.

E) Type I error

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