Use this data for questions 1416 population average 1000 po

Use this data for questions 14-16:

population average = 10.00,  

populaton standard deviation = .85   

X = 9.43   

Which statistical test would determine if X were significantly lower than mu?

Question 14 options:

One Sample t-test

t-test

Standardized Scores Test (z) test

Null

Question 15 (1 point)

What is the (z score) for this value of X?

Question 15 options:

-.24858

-.67

P < .05

.74858

Question 16 (1 point)

If alpha were set at .05, is this difference statistically significant?

Question 16 options:

Yes

No

Can\'t tell from the data given

Solution

14)

The one-sample t-test compares the mean score of a sample to a known value, usually the population mean (the average for the outcome of some population of interest).

Over here, mu = 10 is the populaton mean. WE are comparing it with the score X = 9.43

Thus, we must use one-sample t-test.

Other t-test is used to compare between the means and z-test shows the probability in a normal distribution.

Option A is correct.

15)

Z-score = (X - mu) / std.dev

= (9.43 - 10) /0.85

= - 0.67

Option B is correct

16)

We need to calculate either the t-stat or the p-value. But for both of those, we need the number of observations in the population as well as the sample.

Thus, IT can\'t be told from the given data.

Option C is correct.

Hope this helps. Ask if you have doubts.