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 u and variance o?. 1. If o²=196, construct a 95% confidence interval for u, the true mean IQ in the population 2. What sample size is necessary to ensure an interval width w = 10? 3. Now consider o? unknown. Is the claim that u 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: Но: Ha: a = Step 2. Test Statistic and its sampling distribution under Ho: Step 3. Observed value of the test statistic: Step 4. P-value under Ho: 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 u and variance o?. 1. If o²=196, construct a 95% confidence interval for u, the true mean IQ in the population 2. What sample size is necessary to ensure an interval width w = 10? 3. Now consider o? unknown. Is the claim that u 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: Но: Ha: a = Step 2. Test Statistic and its sampling distribution under Ho: Step 3. Observed value of the test statistic: Step 4. P-value under Ho: Step 5. Decision and conclusion (interpretation of the result):

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

An IQ test was administered to twelve students and the scores were as follows:
Student
1
2
3
4
5
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 u and variance o?.
1. If o?=196, construct a 95% confidence interval for u, the true mean IQ in the population.
2. What sample size is necessary to ensure an interval width w = 10?
3. Now consider o? unknown. Is the claim that u 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:
Но:
Ha:
a =
Step 2. Test Statistic and its sampling distribution under Ho:
Step 3. Observed value of the test statistic:
Step 4. P-value under Ho:
Step 5. Decision and conclusion (interpretation of the result):

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