Jenny is taking ap statistics and ap u. s. history. jenny scored a 95 on an ap statistics test where the mean score was 84 with a standard deviation of 4.5. she then scored a 90 on an ap u. s. history test with a mean score of 75 and a standard deviation of 8.2. on which test did jenny perform better relative to others who have taken the test? justify your answer.

Jenny performed better in statistic test as compared to history exam.

Step-by-step explanation:

We are given the following information in the question:

AP Statistics

Mean, μ = 84

Standard Deviation, σ = 4.5

AP U.S. History

Mean, μ = 75

Standard Deviation, σ = 8.2

We are given that the distribution of  scores are a bell shaped distribution that is a normal distribution.

Formula:

P(AP statistic score of 95)

P(x < 95)

Calculation the value from standard normal z table, we have,  

P(AP U.S. History of 90)

P(x < 90)

Calculation the value from standard normal z table, we have,  

Jenny did better on AP statistics, because she scored better than 99.3% of the students on statistics exam that is her percentile is 99.3% as compared to 96.6% of the students on the history exam where her percentile is 96.6%.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.