Question

According to Nielsen Media Research, the average number of hours of TV viewing by adults (18 and over) per week in the United States is 36.07 hours. Suppose the standard deviation is 9.5 hours and a random sample of 46 adults is taken.

Appendix A Statistical Tables

**a.** What is the probability that the sample average
is more than 35 hours?

**b.** What is the probability that the sample average
is less than 36.6 hours?

**c.** What is the probability that the sample average
is less than 29 hours? If the sample average actually is less than
40 hours, what would it mean in terms of the Nielsen Media Research
figures?

**d.** Suppose the population standard deviation is
unknown. If 66% of all sample means are greater than 48 hours and
the population mean is still 36.07 hours, what is the value of the
population standard deviation?

Answer #1

We have the population mean, **? =** 36.07

Population SD, ? = 9.5

Sample size, n = 46

This is done using the standard normal distribution

Z- Score, Z = (X-**?**)/?

Where X is the sample mean

a) X>35

Z = (35-36.07)/9.5 = -0.112

P(Z>-0.112) = 1-P(Z<-0.112) = 1-0.4562= 0.5438

b) X<36.6

Z = (36.6-36.07)/9.5 = 0.0557 = 0.056

P(Z<0.056) = 0.5458

c) X<29

Z = (29-36.07)/9.5 = -0.74

P(Z<-0.74) = 0.2296

Z<40

Z = (40-36.07)/9.5 =0.413

P(Z<0.413) = 0.6612

It means that 66.12% of the adults who watch the TV program are below 40

d) P(Z>Z1) = 0.66

P(Z<Z1) = 0.34

Z1 = (X-36.07)/?

We have Z1=0.415

X=48

(48-36.07)/? = 0.415

(48-36.07)/0.415 = ?

? = 28.74

Let me know if you need anything else, if not please don't forget to like the answer :)

According to Nielsen Media Research, the average number of hours
of TV viewing by adults (18 and over) per week in the United States
is 36.07 hours. Suppose the standard deviation is 8.8 hours and a
random sample of 48 adults is taken. Appendix A Statistical
Tables
a. What is the probability that the sample average is more than
35 hours?
b. What is the probability that the sample average is less than
36.6 hours?
c. What is the probability...

According to Nielsen Media Research, the average number of hours
of TV viewing by adults (18 and over) per week in the United States
is 36.07 hours. Suppose the standard deviation is 9.7 hours and a
random sample of 50 adults is taken.
Appendix A Statistical Tables
a. What is the probability that the sample average
is more than 38 hours?
b. What is the probability that the sample average
is less than 36.5 hours?
c. What is the probability...

According to Nielsen Media Research, the average number of hours
of TV viewing by adults (18 and over) per week in the United States
is 36.07 hours. Suppose the standard deviation is 8.7 hours and a
random sample of 47 adults is taken.
a. What is the probability that the sample
average is more than 36 hours?
b. What is the probability that the sample average
is less than 36.8 hours?
c. What is the probability that the sample average...

According to Nielsen Media Research, the average number of hours
of TV viewing by adults (18 and over) per week in the United States
is 36.07 hours. Suppose the standard deviation is 9.7 hours and a
random sample of 45 adults is taken.
a. What is the probability that the sample
average is more than 38 hours?
b. What is the probability that the sample average
is less than 39.8 hours?
c. What is the probability that the sample average...

According to a study of TV viewing habits, the average number of
hours an American over the age of 2 watches TV per week is 44. The
population standard deviation is 16 hours. If a sample of 64
Americans over the age of 2 are randomly selected, what is the
standard error of the mean?

TV sets: According to the Nielsen Company, the mean number of TV
sets in a U.S. household in 2013 was 2.24. Assume the standard
deviation is1.1 . A sample of 80 households is drawn. Use the
Cumulative Normal Distribution Table if needed.
A. What is the probability that the sample mean number of TV
sets is greater than 2? Round your answer to four decimal
places.
B. What is the probability that the sample mean number of TV
sets is...

TV sets: According to the Nielsen Company, the
mean number of TV sets in a U.S. household in 2013 was 2.24. Assume
the standard deviation is 1.3. A sample of 90 households is
drawn.
A) What is the probability that the sample mean number of TV
sets is greater than 2? Round your answer to four decimal
places.
B) What is the probability that the sample mean number of TV
sets is between 2.5and 3? Round your answer to four...

According to the South Dakota Department of Health, the mean
number of hours of TV viewing per week is
higher among adult women than men. A recent study showed women
spent an average of 34 hours per week
watching TV and men 29 hours per week (
www.state.sd.us/DOH/Nutrition/TV.pdf). Assume that the
distribution of hours watched follows the normal distribution
for both groups, and that the standard deviation
among the women is 4.5 hours and is 5.1 hours for the men....

the number of hours an American adult watches tv follows a
normal distribution with an average of 6.9 hours a day with a
standard deviation of .68 hours. If we take a random sample of 13
American adults what is the probability they have a sample mean
less than 7.5 hours per day?

According to the South Dakota Department of Health, the number
of hours of TV viewing per week is higher among adult women than
adult men. A recent study showed women spent an average of 30 hours
per week watching TV, and men, 22 hours per week. Assume that the
distribution of hours watched follows the normal distribution for
both groups, and that the standard deviation among the women is 4.1
hours and is 5.0 hours for the men. What percent...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 18 minutes ago

asked 23 minutes ago

asked 41 minutes ago

asked 45 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago