The population mean number of hours a group watched TV was 10.5 with a standard deviation...

The population mean number of hours a group watched TV was 10.5 with a standard deviation of 3.6. 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:

12345678	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?
12345678	What is the probability that the sample mean of the studied group is LESS THAN 9.7 hours?
12345678	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?

1.	Note: Below choices may NOT all be used as matches.
2.	3.6
3.	0.60
4.	2.63
5.	0.09
6.	0.14
7.	10.5
8.	No answer is correct.

Solutions

Expert Solution

Solution :

(a)

The mean of the distribution of the sample mean is,

= 10.5

(b)

= / n = 3.6 / 36 = 0.6

P( 9.7) = P(( - ) / (9.7 - 10.5) / 0.6)

= P(z -1.33)

= 0.09

(c)

The standard deviation of the sample mean of the group is,

= / n = 3.6 / 36 = 0.60

orchestra answered 1 year ago

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