Find the mean and standard error of the sample means

Reference no: EM131241953

Topic: Population and Sampling Distribution Excel Worksheet

Problem 1 -

1 A. For a normal distribution that has a mean of 100, and a standard deviation of 8, determine the Z-score for each of the following X values:

X = 108

X = 112

X = 98

X = 70

X = 124

1 B. Use the information in 1 A. to determine the area or probability of the following:

p(x > 108)

p(x < 98)

p(92 < x < 108)

p(84 < x < 116)

p(x < 84)

Problem 2 -

Please type your selection in the cell beside the question.

1. The mean of the sampling distribution is equal to

a) the population standard deviation

b) the sample mean

c) the sample standard deviation

d) the population mean

e) none of the above

2. The standard error of the sampling distribution when we know the population standard deviation is equal to

a) σ_m= σ/√n

b) S_M= σ/√n

c) S_M= s/√n

d) σ_M = s/√n

e) none of the above

3. The standard error of the sampling distribution when we do not know the population standard deviation is equal to __________________.

a) σ_M= σ/√n

b) S_M= σ/√n

c) S_M= s/√n

d) σ_M = s/√n

e) none of the above

4. When the population standard deviation is known the sampling distribution is a ____________.

a) binomial distribution

b) normal distribution

c) Poisson distribution

d) t-distribution

e) none of the above

5. When the population standard deviation is not known the sampling distribution is a ___________.

a) binomial distribution

b) normal distribution

c) Poisson distribution

d) t-distribution

e) none of the above

6. If the size of the sample is increased the standard error _____________.

a) will increase

b) will remain the same

c) cannot be determined

d) will decrease

e) none of the above

7. Find the mean and standard error of the sample means that is normally distributed with a mean of 10 and a standard deviation of 2 and a sample size of 25.

8. Using the above distribution find the probability of a score less than 11.

Attachment:- Assignment.rar

Reference no: EM131241953

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