How many hours a month does the average Facebook user spend on Facebook quizlet?

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Terms in this set (11)

1) The mean amount of money that US adults spend on food in a week is $151 and the standard deviation is $49. Random samples of size 50 are drawn from this population and the mean of each sample is determined.

a) Find the mean and standard deviation of the sampling distribution of the sample means.

b) What is the probability that the mean amount spend on food in a week for a certain sample is more than $160?

c) What is the probability that the mean amount spend on food in a week for a certain sample is between $135 and $150?

2) Given a random variable x is normally distributed with a mean µ=18 and standard deviation σ=7.6, find the following probabilities:

a) P(x>20)

b) P(0

c) P(x<9 or x>27)

3) Given a random variable x is normally distributed with a mean µ=18 and standard deviation σ=7.6, find the value of x that has 88.3% of the distribution's area to its left.

4) Given a random variable x is normally distributed with a mean µ=18 and standard deviation σ=7.6, find the value of x that has 64.8% of the distribution's area to its right.

5) In the following, determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graph. If you cannot, explain why and discuss how you still could find the indicated probabilities.

A survey of US Adults found that 64% watch NFL football. You randomly select 20 US adults and ask them if they watch football. Find the probability that the number

a) exactly 10

b) less than 7

c) at least 15

7) The amounts of time that a Facebook users spend on the website each month are normally distributed with a mean of 6.7 hours and a standard deviation of 1.8 hours.

Find the probability that a Facebook user spends less than four hours on the website in a month. Is this an unusual event? Explain.

8) The amounts of time that a Facebook users spend on the website each month are normally distributed with a mean of 6.7 hours and a standard deviation of 1.8 hours.

Find the probability that a Facebook user spends more than 10 hours on the website in a month. Is this an unusual event? Explain.

9) The amounts of time that a Facebook users spend on the website each month are normally distributed with a mean of 6.7 hours and a standard deviation of 1.8 hours.

Out of 800 Facebook users, about how many would you expect to spend between 2 and 3 hours on the website in a month?

10) The amounts of time that a Facebook users spend on the website each month are normally distributed with a mean of 6.7 hours and a standard deviation of 1.8 hours. What is the lowest amount of time spent on Facebook in a month that would still place a user in the top 15% of the times?

11) The amounts of time that a Facebook users spend on the website each month are normally distributed with a mean of 6.7 hours and a standard deviation of 1.8 hours. Between what two values does the middle 60% lie?

12) Random samples of size 8 are drawn from this population and mean of each sample is determined. Is the sampling distribution of the sample means normally distributed? Explain.

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