An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who work while sitting. Which of the following is an appropriate inference procedure for the study? A one-sample t-interval for a population mean в A one-sample t-interval for a sample mean A matched pairs t-interval for mean difference D A two-sample t-interval for a difference between sample means E A two-sample t-interval for a difference between population means

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An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will investigate
the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group is randomly assigned to
work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two groups will be calculated. The officer will
use the results to estimate the difference in the mean number of back problems between those who work while standing and those who work while sitting.
Which of the following is an appropriate inference procedure for the study?
A
A one-sample t-interval for a population mean
A one-sample t-interval for a sample mean
A matched pairs t-interval for a mean difference
D
A two-sample t-interval for a difference between sample means
A two-sample t-interval for a difference between population means
Transcribed Image Text:An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who work while sitting. Which of the following is an appropriate inference procedure for the study? A A one-sample t-interval for a population mean A one-sample t-interval for a sample mean A matched pairs t-interval for a mean difference D A two-sample t-interval for a difference between sample means A two-sample t-interval for a difference between population means
A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders
in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After
one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1.
The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8.
Which of the following represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants?
(89.2 – 92.4) ±1.960,/312 +
V 38
3.82
37
(89.2 – 92.4) ±1.688/
3.12
3.8
B
37
(89.2 – 92.4) ± 1.645/8
3.12
3.8
37
D
(89.2 – 92.4) + 1.688,
3.1
+
3.8
V 38
37
E
(89.2 – 92.4) ± 1.645 ( 31
+
Transcribed Image Text:A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8. Which of the following represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants? (89.2 – 92.4) ±1.960,/312 + V 38 3.82 37 (89.2 – 92.4) ±1.688/ 3.12 3.8 B 37 (89.2 – 92.4) ± 1.645/8 3.12 3.8 37 D (89.2 – 92.4) + 1.688, 3.1 + 3.8 V 38 37 E (89.2 – 92.4) ± 1.645 ( 31 +
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