Mr. Gray's quiz was normally distributed with a mean of 25 and a standard deviation of 10. Find z-scores for each of the following data values a. 40
b. 27
c. 6

a. 1.5

b. 0.2

c -1.9

Step-by-step explanation:

The computation of the z scores of each of the following data values are as follows:

As we know that

z = (data values - mean)÷ standard deviation

Now

a. The z value is

= (40 - 25) ÷ (10)

=  1.5

b. The z value is

= (27 - 25) ÷ 10

= 0.2

c. The z value is

= (6 - 25) ÷ 10

= -1.9

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt