PRACTICE QUESTIONS Question # 1: The scores of a random sample from a normal population of 8 students on a physics test are as follows: 60, 62, 67, 69, 70, 72, 75, and 78. Test to see if the mean is significantly different from 65 at the. 05 level of significance. Question # 2: Previously, an organization reported that teenagers spent that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test. PRACTICE QUESTIONS Question # 3: The mean number of sick days an employee takes per year is believed to be about ten. Members of a personnel department do not believe this figure. They randomly survey eight employees. The number of sick days they took for the past year are as follows: 12, 4, 15, 3, 11, 8, 6 and 8. Let x- the number of sick days they took for the past year. Should the personnel team believe that the mean number is ten? Question # 4: An article in the San Jase Mercury News stated that students in the Califormia state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 29 students and obt ain a sample mean of 5.1 with a sample standard deviation of 1.2 Do the data support your dlaim at the 1% level? PRACTICE QUESTIONS Question # 5: Registered nurses earned an average annual salary of $69,110. For that same year, a survey was conducted of 41 California registered nurses to determine if the annual salary is higher than $69,110 for California nurses. The sample average hypothe sis test. e was $71,121 with a sample standard deviation of $7,489. Conduct a #6: Question 6: The mean work week for engineers in a start-up company is believed to be about 60 hours. A newly hired engineer hopes that it's shorter. She asks ten engineering friends in start-ups for the lengths of their mean work weeks Based on the results that follow, should she count on the mean work week to be shorter than 60 hours? Data (length of me an work week): 70; 45: 55: 60; 65; 55; 55; 60; 50; 55. THOUGHT OF THE DAY

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14
PRACTICE QUESTIONS
Question # 1: The scores of a random sample from a normal population
of 8 students on a physics test are as follows: 60, 62, 67, 69, 70, 72, 75,
and 78. Test to see if the mean is significantly different from 65 at the.
05 level of significance.
Question # 2: Previously, an organization reported that teenagers spent
4.5 hours per week, on average, on the phone. The organization thinks
that, currently, the mean is higher. Fifteen randomly chosen teenagers
were asked how many hours per week they spend on the phone. The
sample mean was 4,75 hours with a sample standard deviation of 2.0.
Conduct a hypothesis test.
13
PRACTICE QUESTIONS
Question # 3: The mean number of sick days an employee takes per year
is believed to be about ten. Members of a personnel department do not
believe this figure. They randomly survey eight employees. The number
of sick days they took for the past year are as follows: 12, 4, 15, 3, 11, 8,
6 and 8. Let x= the number of sick days they took for the past year
Should the personnel team believe that the mean number is ten?
Question # 4: An article in the San Jose Mercury News stated that students in
the Califormia state university system take 4.5 years, on average, to finish their
undergraduate degrees. Suppose you believe that the mean time is longer. You
conduct a survey of 29 students and obtain a sample mean of 5.1 with a sample
standard deviation of 1.2. Do the data support your claim at the 1% level?
14
PRACTICE QUESTIONS
Question # 5: Registered nurses eamed an average annual salary of $69,110. For
that same year, a survey was conducted of 41 California registered nurses to
determine if the annual salary is higher than $69,110 for California nurses. The
sample average was $71,121 with a sample standard deviation of $7,489. Conduct a
hypothesis test.
Question # 6: The mean work week for engineers in a start-up o
believed to be about 60 hours. A newly hired engineer hapes that it's shorter. She
asks ten engineering friends in start-ups for the lengths of their mean work weeks.
Based on the results that follow, should she count on the mean work week to be
ocompany is
shorter than 60 hours?
Data (length of mean work week): 70; 45; 55; 60; 65; 55; 55; 60; 50; 55.
THOUGHT OF THE DAY
Transcribed Image Text:LI 14 PRACTICE QUESTIONS Question # 1: The scores of a random sample from a normal population of 8 students on a physics test are as follows: 60, 62, 67, 69, 70, 72, 75, and 78. Test to see if the mean is significantly different from 65 at the. 05 level of significance. Question # 2: Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4,75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test. 13 PRACTICE QUESTIONS Question # 3: The mean number of sick days an employee takes per year is believed to be about ten. Members of a personnel department do not believe this figure. They randomly survey eight employees. The number of sick days they took for the past year are as follows: 12, 4, 15, 3, 11, 8, 6 and 8. Let x= the number of sick days they took for the past year Should the personnel team believe that the mean number is ten? Question # 4: An article in the San Jose Mercury News stated that students in the Califormia state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 29 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% level? 14 PRACTICE QUESTIONS Question # 5: Registered nurses eamed an average annual salary of $69,110. For that same year, a survey was conducted of 41 California registered nurses to determine if the annual salary is higher than $69,110 for California nurses. The sample average was $71,121 with a sample standard deviation of $7,489. Conduct a hypothesis test. Question # 6: The mean work week for engineers in a start-up o believed to be about 60 hours. A newly hired engineer hapes that it's shorter. She asks ten engineering friends in start-ups for the lengths of their mean work weeks. Based on the results that follow, should she count on the mean work week to be ocompany is shorter than 60 hours? Data (length of mean work week): 70; 45; 55; 60; 65; 55; 55; 60; 50; 55. THOUGHT OF THE DAY
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