1. There is a population of scores with a mean of u = 40 and a standard deviation of o = 12. Imagine you select a sample of n = 36 scores from this population. a. What is the standard error of the mean for the distribution of sample means with n= 36? IF YOUR ANSWER IS 2, CONGRATULATIONS! b. What is the z-score associated with a sample mean of M = 46 if the sample size is 36? %3! C. What is the probability of a sample of n = 36 having a mean of more than 46? ANSSWER: 0.0013
1. There is a population of scores with a mean of u = 40 and a standard deviation of o = 12. Imagine you select a sample of n = 36 scores from this population. a. What is the standard error of the mean for the distribution of sample means with n= 36? IF YOUR ANSWER IS 2, CONGRATULATIONS! b. What is the z-score associated with a sample mean of M = 46 if the sample size is 36? %3! C. What is the probability of a sample of n = 36 having a mean of more than 46? ANSSWER: 0.0013
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![Name
Probability and Samples
There is a population of scores with a mean of u = 40 and a standard deviation ofo = 12.
Imagine you select a sample of n = 36 scores from this population.
1.
a. What is the standard error of the mean for the distribution of sample means with n=
36? IF YOUR ANSWER IS 2, CONGRATULATIONS!
b. What is the z-score associated with a sample mean of M = 46 if the sample size is 36?
What is the probability of a sample of n = 36 having a mean of more than 46? ANSWER: 0.0013
C.
More on
next page!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd196ae35-9bb5-4de1-8677-0e01dcfcd7f1%2F8f4f4b88-aca4-4026-a587-b68138a15e23%2Frcxy94j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Name
Probability and Samples
There is a population of scores with a mean of u = 40 and a standard deviation ofo = 12.
Imagine you select a sample of n = 36 scores from this population.
1.
a. What is the standard error of the mean for the distribution of sample means with n=
36? IF YOUR ANSWER IS 2, CONGRATULATIONS!
b. What is the z-score associated with a sample mean of M = 46 if the sample size is 36?
What is the probability of a sample of n = 36 having a mean of more than 46? ANSWER: 0.0013
C.
More on
next page!
![2. The owner of a food-packing plant sets the machinery to put 50 ounces (that is three pounds
and two ounces) of apples in each bag. Over time, this results in a normal distribution of
weights with a standard deviation of 4 ounces.
What is the probability of randomly picking a single bag (n = 1) of apples that is less
than 48 ounces? IF YOUR ANSWER IS .3085, CONGRATULATIONS!
a.
b. What is the probability of randomly picking a sample of four bags (n = 4) of apples with a
mean weight less than 48 ounces?
CLA
What is the probability of randomly picking a sample of 25 bags (n = 25) of apples with
с.
a mean weight less than 48 ounces? IF YOUR ANSWER IS .0062, CONGRATULATIONS!
More on next page!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd196ae35-9bb5-4de1-8677-0e01dcfcd7f1%2F8f4f4b88-aca4-4026-a587-b68138a15e23%2F41jawfl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The owner of a food-packing plant sets the machinery to put 50 ounces (that is three pounds
and two ounces) of apples in each bag. Over time, this results in a normal distribution of
weights with a standard deviation of 4 ounces.
What is the probability of randomly picking a single bag (n = 1) of apples that is less
than 48 ounces? IF YOUR ANSWER IS .3085, CONGRATULATIONS!
a.
b. What is the probability of randomly picking a sample of four bags (n = 4) of apples with a
mean weight less than 48 ounces?
CLA
What is the probability of randomly picking a sample of 25 bags (n = 25) of apples with
с.
a mean weight less than 48 ounces? IF YOUR ANSWER IS .0062, CONGRATULATIONS!
More on next page!
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