How tall are college hockey players The average height has b

How tall are college hockey players? The average height has been 68.3 inches. A random sample of
14 hockey players gave a mean height of 69.1 inches. We may assume that x has a normal distribution with s = 0.9 inch. Does this indicate that the population mean height is different from 68.3 inches? Use 5% level of significance.

(b)   Identify the sampling distribution you will use: the standard normal or the Student’s t.
Explain the rationale for your choice. What is the value of the sample test statistic?

Solution

H0: mu = 68.3

Ha\" mu not equal to 68.3

Two tailed test

Mean difference = 69.1-68.3 = 0.8

Std error =0.9/rt 14 = 0.2405

Hence t = 3.326

df - 13

p value = .005467.

The result is significant at p < .05.

As p <alpha reject null hypothesis.

Sampling distribution we use student t as sample size is small