ish Sunited States ACTIVITY SHEET Exercises 1. Answer the following 1. A psychologist claims that the mean age at which children start walking is 125 months. The following data give the age at which 18 randomly selected children started walking. 15 11 13 14 15 12 15 10 16 17 14 16 13 15 15 14 11 13 Test at the 1% level of significance if the mean age at which children start walking is different from 12.5 months 2. A sample of 800 items produced on a new machine showed that 48 of them are defective. The factory will get rid the machine if the data indicates that the proportion of defective items is significantly more than 5%. At a significance level of 10% does the factory get rid of the machine or not? 3. A manufacturer of electric lamps is testing a new production method that will be considered acceptable if the lamps produced by this method result in a normal population with an average life of 2,400 hours and a standard deviation equal to 300. A sample of 100 lamps produced by this method has an average life of 2,320 hours. Can the hypothesis of validity for the new manufacturing process be accepted with a risk equal to or less than 5%?
ish Sunited States ACTIVITY SHEET Exercises 1. Answer the following 1. A psychologist claims that the mean age at which children start walking is 125 months. The following data give the age at which 18 randomly selected children started walking. 15 11 13 14 15 12 15 10 16 17 14 16 13 15 15 14 11 13 Test at the 1% level of significance if the mean age at which children start walking is different from 12.5 months 2. A sample of 800 items produced on a new machine showed that 48 of them are defective. The factory will get rid the machine if the data indicates that the proportion of defective items is significantly more than 5%. At a significance level of 10% does the factory get rid of the machine or not? 3. A manufacturer of electric lamps is testing a new production method that will be considered acceptable if the lamps produced by this method result in a normal population with an average life of 2,400 hours and a standard deviation equal to 300. A sample of 100 lamps produced by this method has an average life of 2,320 hours. Can the hypothesis of validity for the new manufacturing process be accepted with a risk equal to or less than 5%?
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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ACTIVITY SHEET
Exercises:
I. Answer the following:
1. A psychologist claims that the mean age at which children start walking is 12.5 months. The
following data give the age at which 18 randomly selected children started walking.
15 11 13 14 15 12 15 10 16 17 14 16 13 15 15 14 11 13
Test at the 1% level of significance if the mean age at which children start walking is different from
12.5 months.
stats-man (1) Word
2. A sample of 800 items produced on a new machine showed that 48 of them are defective. The
factory will get rid the machine if the data indicates that the proportion of defective items is
significantly more than 5%. At a significance level of 10% does the factory get rid of the machine
or not?
3. A manufacturer of electric lamps is testing a new production method that will be considered
acceptable if the lamps produced by this method result in a normal population with an average life
of 2,400 hours and a standard deviation equal to 300. A sample of 100 lamps produced by this
method has an average life of 2,320 hours. Can the hypothesis of validity for the new
manufacturing process be accepted with a risk equal to or less than 5%?
Answer the following:
Styles
A Kristine Mae Palomata
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Assessment
1. The quality control division of a factory that manufactures batteries suspects defects in the
production of a model of mobile phone battery which results in a lower life for the product. Until
now, the time duration in phone conversation for the battery followed a normal distribution with
a mean of 300 minutes and a standard deviation of 30. However, in an inspection of the last batch
produced before sending it to market, it was found that the average time spent in conversation
was 290 minutes in a sample of 60 batteries. Assuming that the time is still normal with the same
standard deviation:
Can it be concluded that the quality control suspicions are true at a significance level of 1%?
2. It is believed that the average level of prothrombin in a normal population is 20 mg/100 ml of blood
plasma with a standard deviation of 4 milligrams/100 ml. To verify this, a sample is taken from 40
individuals in whom the average is 18.5 mg/100 ml. Can the hypothesis be accepted with a
significance level of 5%?
4) E ENG
3. Within a really large population items either have or do not have a particular characteristic. We
want to test the hypothesis that the proportion of items with that characteristic in the population
is 50.0% against the alternative that the true proportion is less than 50.0%. We will perform this test
at the 0.0675 level of significance. We take a sample of size 112 of that population. Within that
sample we find that we have 48 items that have that particular characteristic.
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Solve the following problem.
Styles
Assignment
1. In the following table we have a sample taken from a large population. The items in that population
can be classified in 3 different ways, which we have named by the values 1 through 3.
Table of sample characteristics
13311322 213 211 212 2221231 3 1 3 3 31 2132
12 213 2
1 1 1 2 2 1 1 1 3 3
2
We are interested in testing the hypothesis that in the population the proportion of items with the
characteristic assigned the value 1 is equal to 40.00% against the alternative that the proportion is not equal
to 40.00%. We want to run this test at the 0.0675 level of significance. Use excel in solving the problem.
2. Within a really large population items either have or do not have a particular characteristic. We
want to test the hypothesis that the proportion of items with that characteristic in the population
is 72.0% against the alternative that the true proportion is not equal to 72.0%. We will perform this
test at the 0.0925 level of significance. We take a sample of size 103 of that population. Within that
sample we find that we have 65 items that have that particular characteristic.
3. Within a really large population items either have or do not have a particular characteristic. We
want to test the hypothesis that the proportion of items with that characteristic in the population
is 70.0% against the alternative that the true proportion is not equal to 70.0%. We will perform this
test at the 0.0775 level of significance. We take a sample of size 96 of that population. Within that
sample we find that we have 59 items that have that particular characteristic.
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