Question

William is interested in knowing whether or not athletics from his team have lower satisfaction with their team on a survey than the known population average survey score of 19 and the known population survey standard deviation is 12. He samples 36 athletics from his team and finds a sample mean of 15. Assume an alpha = .05.

• Conduct a one-sample z-test to answer the question above.

• Report hypotheses

• the test statistic

• the critical value

• conclusion with regards to the hypotheses

• state what the result means for the problem

Answer 1

Hypothesis-

H0: >= 19

Ha: < 19

Test statistics

z = - / /sqrt(n)

= 15 - 19 / 12 / sqrt(36)

= -2

This is test statistics value.

Critical value at 0.05 signifiance level is -1.645

conclusion -

Since test statistics value < -1.645 we have sufficient eviedence to reject H).

Therefore,

At 0.05 significance level, we conclude that we have enough evidence to support the claim that the

athletics from his team have lower satisfaction with their team on survey than 19.