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Scenario
Frank has only had a brief introduction to statistics when he was in high school 12 years
ago, and that did not cover inferential statistics. He is not confident in his ability to answer
some of the problems posed in the course.
As Frank’s tutor, you need to provide Frank with guidance and instruction on a
spreadsheet he has partially filled out. Your job is to help him understand and comprehend
the material. You should not simply be providing him with an answer as this will not help
when it comes time to take the test. Instead, you will be providing a step-by-step
breakdown of the problems including an explanation on why you did each step and using
proper terminology.
What to Submit
it by including the following items on the spreadsheet:
1. Incorrect Answers – Correct any wrong answers. You must also explain the error performed
in the problem in your own words.
2. Partially Finished Work – Complete any partially completed work. Make sure to provide
step-by-step instructions including explanations.
3. Blank Questions – Show how to complete any blank questions by providing step-by-step
instructions including explanations.
Your step-by-step breakdown of the problems, including explanations and calculations performed,
should be present within the Excel spreadsheet provided.
Instructions: The following questions on the next six tabs are shown to you by a student who is asking for help. Your job is
by showing the student how to solve each problem in detail. You are expected to explain all of the steps in your own words
Key:
– This problem is an incorrect. Your job is to find the errors, correct the errors, and explain what they did wrong.
– This problem is partially finished. You must complete the problem by showing all steps and explain your corrections
– This problem is blank. You must start from scratch and explain how you will approach the problem, how you solve it,
sking for help. Your job is to help the student walk through the problems
e steps in your own words.
hat they did wrong.
roblem, how you solve it, and explain why you took each step.
Assume that a randomly selected subject is given a bone density test. Those tests follow a standard normal dis
Find the probability that the bone density score for this subject is between -0.87 and 1.84.
Show your calculations using Excel functions in the area to the right of this text box and answer the problem with expl
below.
ow a standard normal distribution.
wer the problem with explanations
The U.S. Airforce requires that pilots have a height between 64 in. and 72 in. If womenâ€™s heights are normally d
with a mean of 64.1 in. and a standard deviation of 2.31 in, find the percentage of women that meet the height req
Show your calculations using Excel functions in the area to the right of this text box and answer the problem with expl
below.
nâ€™s heights are normally distributed
n that meet the height requirement.
wer the problem with explanations
Womenâ€™s pulse rates are normally distributed with a mean of 69.9 beats per minute and a standard deviation o
per minute. What is the z-score for a woman having a pulse rate of 63 beats per minute?
Let ð’› =
ð’™âˆ’ð
ðˆ
ð’› =
(ðŸ”ðŸ—. ðŸ— âˆ’ ðŸ”ðŸ‘)
ðŸðŸ. ðŸ•
ð’› = ðŸŽ. ðŸ“ðŸ—
Identify where the student went wrong when solving the problem above. Show how to correctly calculate the answer
the area to the right of this text box. Finish the problem by stating how to correctly set up the problem and solve it be
nd a standard deviation of 11.7 beats
ectly calculate the answer using Excel in
he problem and solve it below.
What is the cumulative area from the left under the curve for a z-score of -0.723? What is the area on the right
score? Hint: You will have two answers (one for the left and one for the right).
The first part is to find the cumulative area from the left under the curve for a z-score of -0.723. This means that I n
the probability that a z-score is less than -0.723.
Show your calculations using Excel functions in the area to the right of this text box and finish answering the problem
explanations below.
at is the area on the right of that z-
0.723. This means that I need to find
If the area under the standard normal distribution curve is 0.2343 from the right, what is the corresponding z
We plug in â€œ=NORM.S.INV(0.2343)â€ into Excel and get a z-score of -0.724.
Identify where the student went wrong when solving the problem above. Show how to correctly calculate the answer
the area to the right of this text box. Finish the problem by stating how to correctly set up the problem and solve it be
t is the corresponding z-score?
ectly calculate the answer using Excel in
he problem and solve it below.
A research shows that the Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.
standard deviation of 0.75. Earthquakes with magnitudes less than 2.00 are considered “microearthquakes” that h
not feel. What percentage of earthquakes fall into this category?