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
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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
AABECCDDE AABBCCDDI AaBbCcDdl
Quote Intense Q... Subtle Ref... Intense Re... Book Title
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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Transcribed Image Text:H File Paste L E Home Cut Copy Format Painter Clipboard Page 1 of 3 Insert 739 words I Draw Design Layout References Calibri Light 18 B I Uabe X₂ X² VÁ A Font Aa ▾ P Aaly - A- nx English (United States) S Mailings Review View 8·6·5 €¶ Paragraph Help Tell me what you want to do AaBbccDd AaBb AaBbccDdt AaBbCct AaB AaBbcct AaBbCcDd! AaBbCcDdi AaBbCcDd AaBbCcDdE AaBbCcDd! AaBbCcDdl T Normal Heading 1 No Spac... Heading 2 Title Subtitle Subtle Em... Emphasis Intense E... Strong 1·2·1·1·1·1·1·1·2·1·3·1·4·1·5·1·6·1·7·1·8·1·9·|· 10 ·|·11·|·12·|· 13 ·|·14·|· 15 · |· 16 · ·17· |·18·|·19 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 AABECCDDE AABBCCDDI AaBbCcDdl Quote Intense Q... Subtle Ref... Intense Re... Book Title 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. B F 9:26 pm 15/11/2022 Find ac Replace Select Editing LJ Share 26 87%
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Tell me what you want to do
AaBbccDd AaBb AaBbccDd: AaBbCcL AaB AaBbcct AaBbCcDdt AaBbCcDdt AaBbCcDd! AaBbCcDdE AaBbCcDd! AaBbCcDd!
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Title
Subtitle Subtle Em... Emphasis
Intense E...
Strong
· 12 · |· 13 · |· 14 · |· 15 · |· 16 · · 17 · |· 18 · 19
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.
4) E ENG
A Kristine Mae Palomata
AABBCCDDE AABBCCDDI AaBbCcDdl
Quote Intense Q... Subtle Ref... Intense Re... Book Title
F
9:26 pm
15/11/2022
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Transcribed Image Text:AS L File Paste E Home Insert Cut Copy Format Painter Clipboard S H Draw Design Layout References Page 3 of 3 739 words nx Calibri Light 18 B T U ▾ abe X₂ X² A-ay.A. VÁ A Font Aa ▾ P English (United States) Mailings Review View B-6.5 €£ ↓ ¶ = = : Paragraph 1.2.1.1·1·1·2·1·3·1·4·1·5·1·6·1·7·1·8·1·9·|· 10 ·|· 11 ·| Help stats-man (1) Word Tell me what you want to do AaBbccDd AaBb AaBbccDd: AaBbCcL AaB AaBbcct AaBbCcDdt AaBbCcDdt AaBbCcDd! AaBbCcDdE AaBbCcDd! AaBbCcDd! T Normal Heading 1 No Spac... Heading 2 Title Subtitle Subtle Em... Emphasis Intense E... Strong · 12 · |· 13 · |· 14 · |· 15 · |· 16 · · 17 · |· 18 · 19 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. 4) E ENG A Kristine Mae Palomata AABBCCDDE AABBCCDDI AaBbCcDdl Quote Intense Q... Subtle Ref... Intense Re... Book Title F 9:26 pm 15/11/2022 Find ac Replace ▸ Select - Editing LJ Share 26 100%
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