Hugo, a pitcher, estimates that his pitch speed is more than 48 miles per hour, on average. Several of his teammates would like his estimate to be tested, so he decides to do a hypothesis test, at a 5% significance level, to persuade them. He throws 15 pitches, collects the proper data, and works through the testing procedure: H0: μ=48; Ha: μ>48 x¯=54 σ=5 α=0.05 (significance level) The test statistic is

The statistic would be given by:

(1)    

Replacing the info given we got:

Step-by-step explanation:

Information given

represent the sample mean

represent the population deviation

sample size    

represent the value to verify

represent the significance level

z would represent the statistic

System of hypothesis

We want to conduct a test in order to check the following :    

Null hypothesis:    

Alternative hypothesis:    

The statistic would be given by:

(1)    

Replacing the info given we got:

im not sure

step-by-step explanation: