Questions 1. There is an assumption that there is no significant difference between boys and girls with respect to intelligence. Tests are conducted on two groups and the following are the observation. Validate the claim with 5% level of significance Mean Girls Boys 75 73 Standard Size Deviation 8 10 100 60

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. There is an assumption that there is no significant difference
between boys and girls with respect to intelligence. Tests are
conducted on two groups and the following are the observation.
Validate the claim with 5% level of significance
Mean
Girls
Boys
75
73
Standard Size
Deviation
8
10
100
60
2. Why do you think any serious researcher would use the sample
mean as a measure of center to estimate for the population
parameter at most times?
3. Lifetimes of batteries in a certain application are normally
distributed with mean 50 hours and standard deviation 5 hours. Find
the probability that a randomly chosen battery lasts between 42 and
52 hours.
4. State the critical value(s) of t for an independent groups t test for
an alpha level of 0.5 under the following conditions:
Ho:₁ = H₂, H₁:₂ #M₂ and n1 = 10, n₂ = 10.
2
Transcribed Image Text:Questions 1. There is an assumption that there is no significant difference between boys and girls with respect to intelligence. Tests are conducted on two groups and the following are the observation. Validate the claim with 5% level of significance Mean Girls Boys 75 73 Standard Size Deviation 8 10 100 60 2. Why do you think any serious researcher would use the sample mean as a measure of center to estimate for the population parameter at most times? 3. Lifetimes of batteries in a certain application are normally distributed with mean 50 hours and standard deviation 5 hours. Find the probability that a randomly chosen battery lasts between 42 and 52 hours. 4. State the critical value(s) of t for an independent groups t test for an alpha level of 0.5 under the following conditions: Ho:₁ = H₂, H₁:₂ #M₂ and n1 = 10, n₂ = 10. 2
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