Question

Advertisers fear that users of DVRs (digital video recorders) will “fast forward” past commercials when they watch a recorded program. A leading British pay television company told its advertisers that this effect might be offset because DVR users watch more TV. A sample of 15 DVR users showed a daily mean screen time of 2 hours and 26 minutes with a standard deviation of 14 minutes, compared with a daily mean of 2 hours and 7 minutes with a standard deviation of 12 minutes for a sample of 15 non-DVR users.

**(a-1)** Construct a 95 percent confidence
interval for the difference in mean TV watching. **(Round
your answers to 2 decimal places.)**

The 95% confidence interval is from to .

Answer #1

1 hour = 60 minutes

Advertisers fear that users of DVRs (digital video recorders)
will “fast forward” past commercials when they watch a recorded
program. A leading British pay television company told its
advertisers that this effect might be offset because DVR users
watch more TV. A sample of 25 DVR users showed a daily mean screen
time of 2 hours and 31 minutes with a standard deviation of 13
minutes, compared with a daily mean of 2 hours and 14 minutes with
a standard...

In order to determine how many hours per week freshmen college
students watch television, a random sample of 25 students was
selected. It was determined that the students in the sample spent
an average of 19.5 hours with a sample standard deviation of 3.9
hours watching TV per week. Please answer the following questions:
(a) Provide a 95% confidence interval estimate for the average
number of hours that all college freshmen spend watching TV per
week. (b) Assume that a...

A random sample of 800 teenagers revealed that in this sample,
the mean number of hours per week of TV watching is 13.2 with a
sample standard deviation of 1.6. Find and interpret a 95%
confidence interval for the true mean weekly hours of TV watching
for teenagers.

1. A sample size of n = 70 is drawn from a population with
proportion p = 0.32. Let p̂ be the sample proportion.
Find p̂m and p̂s . Round the standard deviation to four decimal
places.
Find )28.0p̂P ( > .
Find )40.0p̂P ( <
2. On a certain television channel, 20% of the
commercials are local advertisers. A sample of 150 commercials is
selected. Would it be unusual for more than 26% of the commercials
to be local advertisers?...

A Gallup poll conducted January 17 - February 6, 2019, asked
1024 teenagers 13 years of age to 17 years of age , “Typically, how
many hours per week do you spend watching TV?’’ The teenagers who
participated in the survey watched, on average, 13.0 hours of
television per week with a standard deviation of 2.3 hours per
week. Construct a 95% confidence interval for the average number of
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A research council wants to estimate the mean length of time (in
minutes) that the average U.S. adult spends watching television
using digital video recorders (DVR’s) each day. To determine the
estimate, the research council takes random samples of 35 U.S.
adults and obtains the following times in minutes.
24
27
26
29
33
21
18
24
23
34
17
15
19
23
25
29
36
19
18
22
16
45
32
12
24
35
14
40
30
19
14...

A research council wants to estimate the mean length of time (in
minutes) that the average U.S. adult spends watching television
using digital video recorders (DVR’s) each day. To determine the
estimate, the research council takes random samples of 35 U.S.
adults and obtains the following times in minutes.
24
27
26
29
33
21
18
24
23
34
17
15
19
23
25
29
36
19
18
22
16
45
32
12
24
35
14
40
30
19
14...

A research council wants to estimate the mean length of time (in
minutes) that the average U.S. adult spends watching television
using digital video recorders (DVR’s) each day. To determine the
estimate, the research council takes random samples of 35 U.S.
adults and obtains the following times in minutes.
24
27
26
29
33
21
18
24
23
34
17
15
19
23
25
29
36
19
18
22
16
45
32
12
24
35
14
40
30
19
14...

A study conducted a few years ago claims that the adult males
spend an average of 11 hours a week watching sports on television.
A recent sample of 100 adult males showed that the mean time they
spend per week watching sports on television is 9.50 hours with a
standard deviation of 2.2 hours.
a. Use the result to give a 95% confidence interval for the mean
time they spend per week watching sports on television.
a. Does the study...

An advertising executive wants to estimate the mean weekly
amount of time consumers spend watching traditional television
daily. Based on previous studies, the standard deviation is
assumed to be 24 minutes. The executive wants to estimate, with
99% confidence, the mean weekly amount of time to within plus or
minus ±66 minutes.
a. What sample size is needed?
b. If 95% confidence is desired, how many consumers need to
be selected?

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