1. If all possible samples of size 25 are drawn from a normal population with mean equal to 30 and standard deviation equal to 7, what is the probability that a sample mean X will fall in the interval from μx -1.700x to x-0.30 ox? Assume that the sample means can be measured to any degree of accuracy. 2. If the standard deviation of the mean for the sampling distribution of random samples of size 36 from a large or infinite population is 3, how large must the sample size become if the standard deviation is to be reduced to 1.5? Round your answer up to the next largest integer.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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I need help with the following two question see attachement. Thanks.

1. If all possible samples of size 25 are drawn from a normal population with mean equal to 30
and standard deviation equal to 7, what is the probability that a sample mean X will fall in the
interval from μx - 1.70 x to μ-0.30 ox? Assume that the sample means can be
measured to any degree of accuracy.
2. If the standard deviation of the mean for the sampling distribution of random samples of size
36 from a large or infinite population is 3, how large must the sample size become if the
standard deviation is to be reduced to 1.5? Round your answer up to the next largest integer.
Transcribed Image Text:1. If all possible samples of size 25 are drawn from a normal population with mean equal to 30 and standard deviation equal to 7, what is the probability that a sample mean X will fall in the interval from μx - 1.70 x to μ-0.30 ox? Assume that the sample means can be measured to any degree of accuracy. 2. If the standard deviation of the mean for the sampling distribution of random samples of size 36 from a large or infinite population is 3, how large must the sample size become if the standard deviation is to be reduced to 1.5? Round your answer up to the next largest integer.
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,