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An IQ test was administered to twelve students and the scores were as follows: Student 1 2 3 4 5 6 7 8 9 10 11 12 IQ score 87 102 94 81 115 75 74 116 98 114 96 100 Assume that IQ is normally distributed with mean m and variance . If =196, construct a 95% confidence interval for m, the true mean IQ in the population. What sample size is necessary to ensure an interval width w = 10? ( Now consider Is the claim that m is less than 100 justified? Perform a test at the a = 0.10 level of significance, by the following 5 steps:       Step 1. Hypotheses and significance level:   H0:                                        Ha:                                             a = Step 2. Test Statistic and its sampling distribution under H0: Step 3. Observed value of the test statistic: Step 4. P-value under H0: Step 5. Decision and conclusion (interpretation of the result):

An IQ test was administered to twelve students and the scores were as follows: Student 1 2 3 4 5 6 7 8 9 10 11 12 IQ score 87 102 94 81 115 75 74 116 98 114 96 100 Assume that IQ is normally distributed with mean m and variance . If =196, construct a 95% confidence interval for m, the true mean IQ in the population. What sample size is necessary to ensure an interval width w = 10? ( Now consider Is the claim that m is less than 100 justified? Perform a test at the a = 0.10 level of significance, by the following 5 steps:       Step 1. Hypotheses and significance level:   H0:                                        Ha:                                             a = Step 2. Test Statistic and its sampling distribution under H0: Step 3. Observed value of the test statistic: Step 4. P-value under H0: Step 5. Decision and conclusion (interpretation of the result):

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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An IQ test was administered to twelve students and the scores were as follows:

Student

1

2

3

4

5

6

7

8

9

10

11

12

IQ score

87

102

94

81

115

75

74

116

98

114

96

100

Assume that IQ is normally distributed with mean m and variance .

  1. If =196, construct a 95% confidence interval for m, the true mean IQ in the population.
  2. What sample size is necessary to ensure an interval width w = 10? (
  3. Now consider Is the claim that m is less than 100 justified? Perform a test at the a = 0.10 level of significance, by the following 5 steps:      

Step 1. Hypotheses and significance level:  

H0:                                        Ha:                                             a =

Step 2. Test Statistic and its sampling distribution under H0:

Step 3. Observed value of the test statistic:

Step 4. P-value under H0:

Step 5. Decision and conclusion (interpretation of the result):

 

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