Q1
A dental student is conducting a study on the number of people who visit their dentist regularly. Of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year.
Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=60.
Round all answers to 3 decimal places.
Q2
A credit card company surveys its customers to determine the number of times they use the card each month. There are 5,500 customers and 2,756 indicate that they use the card at least twice each month.
Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=70 customers.
Round all answers to 3 decimal places.
Q3
A marketing team is targeting people who might buy a hybrid car. In their city, with a population of 30,000 people, 3,170 people either drive a hybrid car or have indicated on a recent survey that they would be interested in driving one.
Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=121.
Round all answers to 3 decimal places.
Q4
From recent census data, it is discovered that the proportion of the adults in the United States who are first generation Americans is 14%. For a random sample of size 500, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Q5
From recent survey data, its known that the proportion of adults in the United States who are smokers is 18%. For a random sample of size 150, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Q6
A small community college has a population of 986 students, 252 of whom them are considered non-traditional students.
Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=40.
Round all answers to 3 decimal places.
Q7
A brokerage company is analyzing its retirement accounts for its clients nearing retirement. From recent survey data, the proportion of adults in the United States who say they are financially ready for retirement is 31%. For a random sample of size 85, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Q8
A baseball team calls itself “America’s Favorite Team,” because it has 90,000 fans on social media out of 2,210,000 social media users.
Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=1,000.
Round all answers to 3 decimal places.
Q9
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
Ans:
A has the larger mean.
B has the larger mean.
The means of A and B are equal.
A has the larger standard deviation.
B has the larger standard deviation.
The standard deviations of A and B are equal.
Q10
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
Ans:
A has the larger mean.
B has the larger mean.
The means of A and B are equal.
A has the larger standard deviation.
B has the larger standard deviation.
The standard deviations of A and B are equal
Q11
A study by doctors of children attending a certain elementary school finds that, of 812 students, 245 watch more than 2 hours of television each day.
Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=100 students.
Round all answers to 3 decimal places.
Q12
Economists are analyzing the effects of new tax policies on population growth. From recent census data, it is known that the proportion of families in the United States who have more than 3 children in the household is 26%. For a random sample of 50 families, what is the standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Q13
Pharmacy technicians are concerned about the rising number of fraudulent prescriptions they are seeing. A small pharmacy sees 1,500 new prescriptions a month, 28 of which are fraudulent.
Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=180.
Round all answers to 3 decimal places.
Q14
A horse racing track knows that the proportion of its gamblers that report winning is 15%. For a random sample of 64 gamblers, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Solution
Q1
A dental student is conducting a study on the number of people who visit their dentist regularly. Of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year.
Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=60.
Round all answers to 3 decimal places.
Q2
A credit card company surveys its customers to determine the number of times they use the card each month. There are 5,500 customers and 2,756 indicate that they use the card at least twice each month.
Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=70 customers.
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