A) A dataset has a mean of 2 and standard deviation of 4. If two points are added to each score in a dataset, what will happen to the mean and standard deviation? the mean and standard deviation will remain the same the mean and standard deviation will increase by 2 points the mean will increase by 2 points and standard deviation will remain the same the mean and standard deviation will remain the same and the standard deviation will increase by 2 points

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A)

A dataset has a mean of 2 and standard deviation of 4. If two points are added to each score in a dataset, what will happen to the mean and standard deviation?

    1. the mean and standard deviation will remain the same
    2. the mean and standard deviation will increase by 2 points
    3. the mean will increase by 2 points and standard deviation will remain the same
    4. the mean and standard deviation will remain the same and the standard deviation will increase by 2 points

B)

  1. A sample of n= 4 scores has SS = 60. What is the variance for this sample?
    1. 15
    2. 20
    3. 60
    4. 30

C)

  1. If an entire population with μ = 60 and σ = 8 is transformed into z-scores, then the distribution of z-scores will have a mean of ___ and a standard deviation of ___
    1. 60; 8
    2. 1; 0
    3. 0;1
    4. 0;8

D)

  1. Sample sizes of 4 are selected from a population with μ = 40 and σ = 8. What is the standard error for the distribution of sample mean?
    1. 4
    2. 3
    3. 8
    4. 6

E)

  1. You complete a hypothesis test using alpha = .05, and based on the evidence from the sample, your decision is to reject the null hypothesis. If the treatment actually does have an effect, which of the following is true?
    1. You have made a Type I error
    2. You have made a Type II error
    3. You might have made a Type I error, but the probability is only 5% at most
    4. You have made the correct decision
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