One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151hours each month with a standard deviation of 32hours. Assume that the underlying population distribution is normal.

Identify the following:

a. x=_______

b. sx=_______

c. n =_______

d. n – 1 =_______

Short Answer

Expert verified

(a) x=151hours

(b) sx=32hours

(c) n=151

(d)n-1=107

Step by step solution

01

Part (a) Step 1: Given information

No. of patients surveyed =108

Sample Mean =151hours

Sample Standard Deviation =32hours

02

Part (b) Step 2: Explanation

From the given values

The sample mean xis computed by adding all of the sample's observations and then dividing it by the number of observations in the sample.

It is stated explicitly in the question that the sample mean is151 hours.

03

Part (b) Step 1: Given information

No. of patients surveyed =108

Sample Mean =151hours

Sample Standard Deviation =32hours

04

Part (b) Step 2: Explanation

sxDefines the sample standard deviation, which shows us how far your data has drifted or strayed from the mean.

The sample standard deviation describes how far your sample deviates from the mean. It is stated explicitly in this question that the sample standard deviation is32 hours.

05

Part (c) Step 1: Given information

No. of patients surveyed =108

Sample Mean =151hours

Sample Standard Deviation =32hours

06

Part (c) Step 2: Explanation

The sample size is denoted by n, which means the total number of observations in the sample is denoted by n.

It is stated explicitly in this question that the sample size is151.

07

Part (d) Step 1: Given information

No. of patients surveyed =108

Sample Mean =151hours

Sample Standard Deviation =32hours

08

Part (d) Step 2: Explanation

The degree of freedom is defined by n.

In this question, it is stated that 108Americans were polled, which means that nequals 108and

n-1=108-1

=107.

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