Men’s heights are normally distributed with a mean of 72 inches and a standard deviation of...

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Statistics

Men’s heights are normally distributed with a mean of 72 inchesand a standard deviation of 3.1 inches. A social organization forshort people has a requirement that men must be at most 66 inchestall. What percentages of men meet this requirement? Choose thecorrect answer:

A-2.62%

B-2.59%

C-2.56%

D-2.68%

Find the critical value of t for a sample size of 24 and a 95%confidence level. Choose the correct value from below:

A-2.096

B-2.064

C-2.046

D-2.069

Construct a confidence interval for the population mean using at-distribution:

c = 99% m = 16.7 s = 3.2 n = 20. Choose from the intervalslisted below.

A-(14.563, 18.474)

B-(14.664 18.736)

C-(14.653, 18.747)

D-(14.646, 18.763)

Assume that adults have IQ scores that are normally distributed,with a mean of 107 and a standard deviation of 15. Find theprobability that a randomly selected individual has an IQ between75 and 117. Choose the correct value:

A-0.7318

B-0.7155

C-0.7320

D-0.7167

In a survey, 376 out of 1,078 US adults said they drink at least4 cups of coffee a day. Find a point estimate (P) for thepopulation proportion of US adults who drink at least 4 cups ofcoffee a day, then construct a 99% confidence interval for theproportion of adults who drink at least 4 cups of coffee a day.

A-P=0.0374; (31.14%, 38.26%)

B-P=0.3488; (32.03%, 37.72%)

C-P=0.3488; (32.49%, 37.88%)

D-P=0.3488; (31.14%, 38.62%)

Your firm wants to investigate how much money the typicaltourist will spend on their next visit to New York. How manytourists should be included in your sample if you want to be 90%confident that the sample mean is within $17 from the populationmean? From previous studies, we know that the standard deviation is$70.

A-45

B-46

C-47

D-48

The mean rent of a 3-bedroom apartment in Orlando is $1200. Yourandomly select 12 apartments around town. The rents are normallydistributed with a standard deviation of $300. What is theprobability that the mean rent is more than $1100?

A-0.1827

B-0.8173

C-0.1251

D-0.8749

A study of women’s weights found that a randomly selected sampleof 150 women had a mean weight of 147.3 lb. Assuming that thepopulation standard deviation is 19.6 lb., construct a 95%confidence interval estimate of the mean weight of all women.Choose the correct interval from below:

A-(144.211, 150.389)

B-(140.611, 146.789)

C-(144.667, 149.933)

D-(144.163, 150.437)

A music industry researcher wants to estimate, with a 90%confidence level, the proportion of young urban people (ages 21 to35 years) who go to at least 3 concerts a year. Previous studiesshow that 35% of those people (21 to 35 year olds) interviewed goto at least 3 concerts a year. The researcher wants to be accuratewithin 2% of the true proportion. Find the minimum sample sizenecessary.

A -2185

B-1539

C-2401

D-8740

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