Question

2) Scores on a personality test form a normal distribution with µ = 80 and sigma = 12. If a random sample of n = 16 people is selected and the mean score is computed for this sample, then a. Sketch the distribution of all the possible sample means that could be obtained. b. Of all the possible sample means, what proportion will be greater than 85? c. What proportion of the sample means will be less than 83?

Name: 2 scores on a personality test form a normal distribution with 80 and sigma 12 if a random sample of n 16 people is selected and the mean score is computed for this sample then a sketch the 15277
Uploaded: 2022-03-04T02:24:00-08:00
Duration: 3 min 51 s
Channel: Christopher Dzorkpata
Description: 2 scores on a personality test form a normal distribution with 80 and sigma 12 if a random sample of n 16 people is selected and the mean score is computed for this sample then a sketch the 15277

          2) Scores on a personality test form a normal distribution with µ = 80 and sigma  = 12. If a random sample of n = 16 people is selected and the mean score is computed for this sample, then
a. Sketch the distribution of all the possible sample means that could be obtained.
b. Of all the possible sample means, what proportion will be greater than 85?
c. What proportion of the sample means will be less than 83?

Added by Kathleen W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Christopher Dzorkpata

03/04/2022

Step 1

To sketch the distribution of all the possible sample means, we need to consider the Central Limit Theorem. According to the Central Limit Theorem, as the sample size increases, the distribution of sample means approaches a normal distribution regardless of the Show more…

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2) Scores on a personality test form a normal distribution with µ = 80 and sigma = 12. If a random sample of n = 16 people is selected and the mean score is computed for this sample, then a. Sketch the distribution of all the possible sample means that could be obtained. b. Of all the possible sample means, what proportion will be greater than 85? c. What proportion of the sample means will be less than 83?