8. A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 282. This test result prompts a state school. administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. At α = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. OA. Ho: ≤280 Ha: H>280 (claim) O D. Ho: μ = 280 Z= (c) Find the P-value. OB. Ha: H>280 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) P-value= Ho: μ< 280 Ha: 2280 (claim) O E. Ho: H=280 (claim) H₂: H>280 (Round to three decimal places as needed.). OC. Ho: ≤280 (claim) H₂: H>280 OF. Ho: ≥280 (claim) Ha: μ<280

3. The average (or mean) amount of hours spent on social media per day is 2 hours and the standard deviation is 2 hours. Calculate the z scores for the following individual scores: Person 1 (X) = 1 hour, z = Person 2 (X) = 3 hours, z= Person 3 (X) = 4 hours, z=

Pls. answer all the given questions with solutions. will upvote if complete, thanks!

Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest