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.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

adults is obtained, describe the sampling distribution of

the mean amount of time spent watching television on a weekday.

▼

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

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

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.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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