Question

Suppose x has a distribution with a mean of 55 and a standard deviation of 35. Random samples of size n = 49 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. (b) Find the z value corresponding to x = 62.5. (c) Find P(x < 62.5). (d) Would it be unusual for a random sample of size 49 from the x distribution to have a sample mean less than 62.5? Explain.

Name: suppose x has a distribution with a mean of 55 and a standard deviation of 35 random samples of size n 49 are drawn a describe the x distribution and compute the mean and standard deviation 82065
Uploaded: 2021-12-26T17:51:57-08:00
Duration: 3 min 39 s
Channel: Arjun Choudhary
Description: suppose x has a distribution with a mean of 55 and a standard deviation of 35 random samples of size n 49 are drawn a describe the x distribution and compute the mean and standard deviation 82065

          Suppose x has a distribution with a mean of 55 and a standard
deviation of 35. Random samples of size n = 49 are drawn. (a)
Describe the x distribution and compute the mean and standard
deviation of the distribution. (b) Find the z value corresponding
to x = 62.5. (c) Find P(x < 62.5). (d) Would it be unusual for a
random sample of size 49 from the x distribution to have a sample
mean less than 62.5? Explain.

Added by Blanca P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Arjun Choudhary

12/26/2021

Step 1

Given: Population mean (μ) = 55 Population standard deviation (σ) = 35 Sample size (n) = 49 The mean of the sample (μ') = 55 The standard deviation of the sample (σ') = σ / sqrt(n) = 35 / sqrt(49) = 35 / 7 = 5 Show more…

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Suppose x has a distribution with a mean of 55 and a standard deviation of 35. Random samples of size n = 49 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. (b) Find the z value corresponding to x = 62.5. (c) Find P(x < 62.5). (d) Would it be unusual for a random sample of size 49 from the x distribution to have a sample mean less than 62.5? Explain.