Perform a One-Sample Z-Test for a Population Mean Using the P-Value

question 12

Essay

Perform a one-sample z-test for a population mean using the P-value approach. Be sure to state the hypotheses and thesignificance level, to compute the value of the test statistic, to obtain the P-value, and to state your conclusion. Also,assess the strength of the evidence against the null hypothesis.
-In one city, the average amount of time that tenth-graders spend watching television each week is 21.6 hours. The principal of Birchwood High School believes that at his school, tenth-graders watch less television. For a sample of 28 tenth-graders from Birchwood High School, the mean amount of time spent watching television per week was 19.4 hours. Do the data provide sufficient evidence to conclude that for tenth-graders at Birchwood High School, the mean amount of time spent watching television per week is less than the city average of 21.6 hours? Perform the appropriate hypothesis test using a significance level of 5%. Assume that $$\sigma$$ = 7.2 hours.

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Definitions:

Radial Nerve

A nerve that extends down the arm and is responsible for innervating the posterior portion of the upper limb.

Deltoid

A large, triangular-shaped muscle covering the shoulder joint, responsible for arm abduction.

Triceps Brachii

A muscle located at the back of the upper arm, responsible for extension of the elbow joint.

Cauda Equina

A bundle of spinal nerves and spinal nerve rootlets located at the lower end of the spinal cord, resembling a horse's tail.