Question

The population mean number of hours a group watched TV was 8.0 with a standard deviation...

The population mean number of hours a group watched TV was 8.0 with a standard deviation of 2.0. A random sample of 36 individuals from the group was selected and the number of hours each watched TV was obtained. Consider the statistic the sample mean number of hours the studied group of 36 watched TV.

Question 6 options:

123456789

Consider the statistic the sample mean number of hours the studied group of 36 watched TV. What is the standard deviation of the sample mean of the group.

123456789

Consider the statistic the sample mean number of hours the studied group of 36 watched TV. What is the mean of the distribution of the sample mean?

123456789

What is the probability that the sample mean of the studied group is LESS THAN 8.5 hours?
1.

Note: Below choices may NOT all be used as matches.
2.

3.6
3.

0.50
4.

2.63
5.

0.33
6.

0.14
7.

8.0
8.

No answer is correct.
9.

0.93
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

The standard deviation of the sample mean of the group is

= = / n = 2 / 36 = 2 / 6 = 0.33

Option 5)

The mean of the distribution of the sample mean

=  8.0

Option 7)

P( < 8.5) = P(( - ) / < (8.5 - 8) / 0.3333)

= P(z < 1.50)

= 0.9332

Probability = 0.93

Option 9)

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