The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts​ (a) through​ (d). ​(a) According to a certain​ survey, adults spend 2.35 hours per day watching television on a weekday. Assume that the standard deviation for​ "time spent watching television on a​ weekday" is 1.93 hours. If a random sample of 60 adults is​ obtained, describe the sampling distribution of x​, the mean amount of time spent watching television on a weekday.   x ▼   is approximately normal has a uniform distribution with μx=nothing and σx=nothing. ​(Round to six decimal places as​ needed.)   ​(b) Determine the probability that a random sample of 60 adults results in a mean time watching television on a weekday of between 2 and 3 hours.   The probability is nothing. ​(Round to four decimal places as​ needed.)   ​(c) One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 55 individuals who consider themselves to be avid Internet users results in a mean time of 2.00 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 2.00 hours or less from a population whose mean is presumed to be 2.35 hours.   The likelihood is nothing. ​(Round to four decimal places as​ needed.)

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The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts​ (a) through​ (d).
​(a) According to a certain​ survey, adults spend
2.35
hours per day watching television on a weekday. Assume that the standard deviation for​ "time spent watching television on a​ weekday" is
1.93
hours. If a random sample of
60
adults is​ obtained, describe the sampling distribution of
x​,
the mean amount of time spent watching television on a weekday.
 
x
 
is approximately normal
has a uniform distribution
with
μx=nothing
and
σx=nothing.
​(Round to six decimal places as​ needed.)
 
​(b) Determine the probability that a random sample of
60
adults results in a mean time watching television on a weekday of between 2 and 3 hours.
 
The probability is
nothing.
​(Round to four decimal places as​ needed.)
 
​(c) One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of
55
individuals who consider themselves to be avid Internet users results in a mean time of
2.00
hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of
2.00
hours or less from a population whose mean is presumed to be
2.35
hours.
 
The likelihood is
nothing.
​(Round to four decimal places as​ needed.)
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