A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score 286. This test result prompts a state school administrator to declare that the mean score for the state's eighth grader this exam is more than 280. Assume that the population standard deviation is 38. At a = 0.05, is there enough evider to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below.

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 34 beats per​ minute, the mean of the listed pulse rates is x=72.0 beats per​ minute, and their standard deviation is s=13.8 beats per minute.   a. What is the difference between the pulse rate of 34 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of 34 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 34 beats per minute​ significant?

A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. 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 275. Assume that the population standard deviation is 40. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). ..... (a) Write the claim mathematically and identify H, and Ha. Choose the correct answer below. ' O A. Ho: µs 275 Hai H> 275 (claim) B. H0: μ 275 c. Ho: μ 275 Ο Ε. Ho: μ = 275 Ha: µ> 275 (claim) OF H : μ2 275 (claim) Ha: µ<275

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

Solve for C)

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 38 beats per​ minute, the mean of the listed pulse rates is x=79.0 beats per​ minute, and their standard deviation is s=22.1 beats per minute.   a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 38 beats per minute​ significant?

For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x =74.0 beats per minute, and their standard deviation iss = 13.2 beats per minute. a. What is the difference between the pulse rate of 33 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 33 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 33 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The lowest pulse rate is

The questions are in the screenshot. Please answer each question separately.

The mean daily rainfall between January 1, 2007,through January 1, 2009, at Pismo Beach, California, was0.02 inches with a standard deviation of 0.11 inches. Basedon this information, do you think it is reasonable to believe that daily rainfall at Pismo Beach follows a normal distribution? Explain. (Hint: Think about the possible values for daily rainfall.)