1.You plan to conduct a marketing experiment in whichstudents are to taste one of two different brands of softdrink. Their task is to correctly identify the brand tasted.You select a random sample of 200 students and assume thatthe students have no ability to distinguish between the twobrands. (Hint: If an individual has no ability to distinguishbetween the two soft drinks, then the two brands are equallylikely to be selected.)

What is the probability that the sample will have between55% and 61% of the identifications correct?(3 decimal points)

2. You plan to conduct a marketing experiment in whichstudents are to taste one of two different brands of softdrink. Their task is to correctly identify the brand tasted.You select a random sample of 200 students and assume thatthe students have no ability to distinguish between the twobrands. (Hint: If an individual has no ability to distinguishbetween the two soft drinks, then the two brands are equallylikely to be selected.)

What is the probability that thesample percentage of correctidentifications is greater than 55%? (3 decimal points)

3.Break.com is an ad-supported video-sharing website. Its advertisers can choose to have their ad displayed for some amount of time on a particular page within the website.Break.com charges per impression made of an ad, i.e., per visitor that sees the ad. The cost for displaying an ad is usually quoted in cost-per-thousand impressions (CPM). For the homepage, the CPM is $9.

The number of visitors per day to Break.com is random. Break.com claims that over the past 60 days the average number of visitors to the homepage per day is 1 million. Furthermore, Break.com claims the population standard deviation is 0.25 million.

Calculate a 95% confidence interval for the average number of visitors to the homepage per day.

Hint: Take your response in millions unit (do not include the zeros of a million) -> 1,000,000 is 1 (in millions unit)

What is the lower bound of the CI ? (3 decimal points)

4. Break.com is an ad-supported video-sharing website. Its advertisers can choose to have their ad displayed for some amount of time on a particular page within the website.Break.com charges per impression made of an ad, i.e., per visitor that sees the ad. The cost for displaying an ad is usually quoted in cost-per-thousand impressions (CPM). For the homepage, the CPM is $9.

The number of visitors per day to Break.com is random. Break.com claims that over the past 60 days the average number of visitors to the homepage per day is 1 million. Furthermore, Break.com claims the population standard deviation is 0.25 million.

Calculate a 95% confidence interval for the average number of visitors to the homepage per day.

How would you interpret this confidence interval?

Select one:

a.95% of time the population mean is in the interval.

b.If we were to repeat the sampling 100 times and we would build a 95% confidence interval each time, 95 out of the 100 confidence intervals would include the true mean

c.The probability of the population mean is in the interval is 95%.

d.95% of the population values is in the interval.