Question

A store owner surveyed 25 randomly selected customers and found the ages shown (in years). The mean is 27.8 and the standard deviation is 8.72. The owner wants to know if the mean age of all customers is 32 years old. Use the given information to complete parts a through f 30 19 23 26 23 D 31 30 23 11 50 30 20 29 18 24 29 3740 46 35 26 23 22 27 23 a) What is the null hypothesis? (Typ b) Is ative one or two-sided? The hypothesis is c) What is the value of the test statistic? The test statistic is r or a decimal.) (Round to two decimal places as needed) d) What is the P-value of the test statistic? P-value (Round to four decimal places as needed.) e) What do you conclude at ? = 0.10? The p-value is ? | the null hypothesis. There is evidence to conclude that the mean age of all customers is not 32 years old

Answer 1

a)
H0 : mu =32
Ha : mu not equals to 32

b)
The Hypothesis is two tailed

c)

t = (x - mean)/(s/sqrt(n))
= ( 27.8 - 32)/(8.72/sqrt(25))
= -2.41

d)

p value = .0239

e)
The p value is less than alpha so rejecct the H0 There is sufficient evidence to support the claim