2. Two computer users were discussing tablet computers. A higher proportion of people ages 16 to 29 use tablets than the proportion of people age 30 and older. The table below details the number of tablet owners for each age group. 30 years old and older 231 16-29 years old 69 628 Own a tablet Sample size 2,309 Test at the 1% level of significance.

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Author:Amos Gilat
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1.
Mean entry-level salaries for college graduates with mechanical engineering degrees are
believed to be approximately the same. A recruiting office thinks that the mean mechanical
engineering salary is actually lower than the mean electrical engineering salary. The recruiting
office randomly surveys 50 entry level mechanical engineers and 60 entry level electrical
engineers. Their mean salaries were $46,100 and $46,700, respectively. Their standard
deviations were $3,450 and $4,210, respectively.
Conduct a hypothesis test to determine if you agree that the mean entry-level mechanical
engineering salary is lower than the mean entry-level electrical engineering salary at a 5%
significance level.
2.
Two computer users were discussing tablet computers. A higher proportion of people ages 16
to 29 use tablets than the proportion of people age 30 and older. The table below details the
number of tablet owners for each age group.
16-29 years old
30 years old and older
69
628
Own a tablet
Sample size
60
Test at the 1% level of significance.
3.
Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon
(mpg) than hybrid ones. Suppose that consumers test 21 hybrid sedans and get a mean of 31
mpg with a standard deviation of seven mpg. Thirty-one non-hybrid sedans get a mean of 22
with a standard deviation of four mpg. Suppose that the population standard deviations
are known to be six and three, respectively. Conduct a hypothesis test with 5% significance
level to evaluate the manufacturers claim.
Answers
1.
At the 5% significance level, there is insufficient evidence to conclude that the mean entry-
level salaries of mechanical engineers is lower than that of electrical engineers.
At the 1% level of significance, from the sample data, there is not sufficient evidence to
conclude that a higher proportion of tablet owners are aged 16 to 29 years old than are 30
years old and older,
3.
2.
At the 5% significance level, there is sufficient evidence to conclude
Transcribed Image Text:Не синхрс оЛьзовать Miсrosoft Edge как браузер по умолчанию? 1. Mean entry-level salaries for college graduates with mechanical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 50 entry level mechanical engineers and 60 entry level electrical engineers. Their mean salaries were $46,100 and $46,700, respectively. Their standard deviations were $3,450 and $4,210, respectively. Conduct a hypothesis test to determine if you agree that the mean entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary at a 5% significance level. 2. Two computer users were discussing tablet computers. A higher proportion of people ages 16 to 29 use tablets than the proportion of people age 30 and older. The table below details the number of tablet owners for each age group. 16-29 years old 30 years old and older 69 628 Own a tablet Sample size 60 Test at the 1% level of significance. 3. Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones. Suppose that consumers test 21 hybrid sedans and get a mean of 31 mpg with a standard deviation of seven mpg. Thirty-one non-hybrid sedans get a mean of 22 with a standard deviation of four mpg. Suppose that the population standard deviations are known to be six and three, respectively. Conduct a hypothesis test with 5% significance level to evaluate the manufacturers claim. Answers 1. At the 5% significance level, there is insufficient evidence to conclude that the mean entry- level salaries of mechanical engineers is lower than that of electrical engineers. At the 1% level of significance, from the sample data, there is not sufficient evidence to conclude that a higher proportion of tablet owners are aged 16 to 29 years old than are 30 years old and older, 3. 2. At the 5% significance level, there is sufficient evidence to conclude
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