Question

The average parent spends 4 hours a day doing housework related to their children (e.g. cleaning, cooking, laundry, etc.). Dr. Smith wants to compare time spent on kid-related chore in a sample of n=30 stay-at-home parents. Dr. Smith’s sample had an average of 5 hours a day on chores with a standard deviation of 1.

____________ is the most appropriate hypothesis test to use in this example.

Answer 1

Solution:-

One sample t test is the most appropriate hypothesis test to use in this example.

Solution :

= 4

=5

s = 1

n = 30

This is the two tailed test .

The null and alternative hypothesis is

H0 :   = 4

Ha : 4

Test statistic = t

= ( - ) / s / n

= (5 - 4) / 1 / 30

= 5.477

p(t > 5.477) = 1-P (t< 5.477) = 0

P-value = 0.0000