## Description

I have an assignment due on Sunday 6/28. I do not know how to complete it or where to start, Can you help? It is called Benchmark: Probability and Inferential Statistics. there are 3 questions which need to be completed on the forms attached using the last digit of my student ID, which is 4

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## Explanation & Answer

Please find attached the assignment. Sheet "Normal Distribution" and "Conditional Probability" in excel show the calculation. Please let me know if any doubtThanks

Given Data Values and

Mean/Standard Deviation

Data Value (x)

1,1200

Standard Deviation

1,0000

Mean

0,0000

Z-Score

1,1200

Left Probability

0,8686

Right Probability

0,1314

Given Left Probability

Left Probability

Standard Deviation

Mean

Z-Score

Right Probability

Data Value (x)

0,0500

1,0000

0,0000

-1,6449

0,9500

-1,6449

Parameters for Binomial Distribution

n

5922

p

0,02685

Count P(X 140)

0,7881

P( x> 140)

-1,96

0,9750

1c)

mu

std dev

n

144

5

8

sigma_x

test value

1,77

140

z-score

P( x> 140)

-2,26

0,9882

Reliable

Population Rate

False Positive Rate

94%

5%

8%

Tests Positive Tests Negative

Has Disease

4,700%

0,300%

Does Not Have Disease

7,600%

87,400%

Totals

12,300%

87,700%

P(disease|positive)

P(disease|negative)

38,21%

0,342%

MAT 274 BENCHMARK FORMAT AND STYLE TEMPLATE

1. A patient is classified as having gestational diabetes if their average glucose level is

above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested.

Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is

variation both in the actual glucose level and in the blood test that measures the level.

Rebecca's measured glucose level one hour after ingesting the sugary drink varies

according to the Normal distribution with μ=140+# mg/dl and σ=#+1 mg/dl, where # is

the last digit of your GCU student ID number. Using the Central Limit Theorem,

determine the probability of Rebecca being diagnosed with gestational diabetes if her

glucose level is measured:

Student ID, last digit = 4

Normal distribution parameters:

𝜇 = 140 + 4 = 144

𝜎 = 4+1 =5

a.

b.

c.

d.

Once?

n=#+2 times, where # is the last digit of your student ID?

n=#+4 times, where # is the last digit of your student ID?

Comment on the relationship between the probabilities observed in (a), (b), and

(c). Explain, using concepts from lecture why this occurs and what it means in

context.

For each case, use the formula

𝑥−𝜇

𝑠

√𝑛

to adjust the sample standard deviation and calculated

the z-score. Using Excel’s NORM.S.DIST, the probability can be found for each right

tailed situation.

For each part, insert your sketch of the required area under the normal curve. In

addition, inclu...