A random sample of size 23 is drawn from a population with mean 460 and SD...

A random sample of size 23 is drawn from a population with mean 460 and SD unkown. The sample average and SD(s) are 465 and 13, respectively. find the probability that another sample average will be more than 465 .

1. 0.10

2. 0.01

3. 0.005

4. 0.05

Solutions

Expert Solution

Answer
Let the sample size , n=23

Sample mean, x = 465

Population mean,

Sample standard deviation, s =13.

The z-score can be calculated as ,

The z-table is used to find the required probability. The z-table is shown as :

As from the question, the probability that another sample average will be more than 465 can be calculated as:

The answer is closed to 0.05.

So, the required probability that another sample average will be more than 465 is 0.05. The correct option is 4th option.

orchestra answered 1 year ago

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