Question

The average height of children who are 2 years old is 34 inches. A random sample of 35 children who are 2 years old in a large daycare franchise is collected, and they are found to average 29.50 inches with a standard deviation of 1.70 inches. The researchers are suspicious that the children at the daycare are not growing as quickly as they should be.

a. Write the hypotheses.

b. Calculate the test statistic.

c. Calculate the P-value

d. What is the conclusion for the hypothesis test?

Answer 1

Solution :

This is left tailed test .

The null and alternative hypothesis is ,

H0 :   = 34

Ha : < 34

Test statistic(t) =  

= ( - ) / s / n

= (29.5 - 34) / 1.70 / 35

Test statistic = -15.66

P-value = 0

= 0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence to support the claim.