The scores of individual students on the american college testing (act) program composite college entrance examination have a normal distribution with mean 18.6 and standard deviation 6.0. at northside high, 36 seniors take the test. assume the scores at this school have the same distribution as national scores. 19. (2) what is the mean of the sampling distribution of the sample mean score for a random sample of 36 students?

a. 1.0

b. 3.1

c. 6

d. 18.6 20. (3) what is the standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students?

Question

Mathematics

Angelique

3 March, 19:03

The scores of individual students on the american college testing (act) program composite college entrance examination have a normal distribution with mean 18.6 and standard deviation 6.0. at northside high, 36 seniors take the test. assume the scores at this school have the same distribution as national scores. 19. (2) what is the mean of the sampling distribution of the sample mean score for a random sample of 36 students?

a. 1.0

b. 3.1

c. 6

d. 18.6 20. (3) what is the standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students?

+3

Answers (1)

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Santos Gray · Answer 1

19. The mean of the sampling distribution is the same as the population mean,

d. 18.6

20. The standard deviation of the sampling distribuion is the population standard deviation divided by the square root of the sample size. 6.0/√36 =

1.0