Can you please show the work to how you get the answers? Thank you. 6 . A first
ID: 3156298 • Letter: C
Question
Can you please show the work to how you get the answers? Thank you.
6. A first aid cream contains amounts of the active ingredient (in mg) that vary Normally with unknown mean m and standard deviation from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are
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Based on these data, a 99% confidence interval for the population mean m has margin of error
a. 2.50 mg.
b. 1.92 mg
c. 2.42 mg
d. 0.75 mg
7. You want to know how a new brand of diet soup will fare among customers, especially compared to a classic brand. Which of the following designs is an example of a matched pairs design?
a. 50 subjects taste and rate the 2 brands of diet soup in unmarked cups. The order of the soup type given is randomized.
b. 60 subjects taste and rate one diet soup in an unmarked cup. 30 subjects are randomly assigned to taste the new brand and the other 30 to taste the classic brand.
c. 40 adult males and 30 adult females are randomly assigned to taste and rate the new brand of diet soup. Half of the males and half of the females chosen at random are served the soup in an unmarked cup, and the others are served the soup in a cup labeled with the soup’s brand.
d. 60 subjects taste and rate the new brand of diet soup in an unmarked cup.
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Explanation / Answer
6) we have to find the stadard deviation of the given data
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the z score for 99% = 2.57
the margin of error = 2.57*2.23/3 = 1.92
therefore option B us correct
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