A population of values has a normal distribution with μ = 109.1 and o = 70.6. You intend to draw a random sample of size n = 69. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is between 96.4 and 121.8. P(96.4 < X < 121.8) = 0.1351 ✓ Find the probability that a sample of size n = 69 is randomly selected with a mean between 96.4 and 121.8. P(96.4 << 121.8) = 0.1428 x

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 58CR
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= 109.1 and o= 70.6. You intend to draw a
A population of values has a normal distribution with µ =
random sample of size n = 69. Please show your answers as numbers accurate to 4 decimal places.
Find the probability that a single randomly selected value is between 96.4 and 121.8.
P(96.4 < X < 121.8) = 0.1351 ✔
Find the probability that a sample of size n = 69 is randomly selected with a mean between 96.4 and
121.8.
P(96.4 121.8) = 0.1428 x
< <
Add Work
Transcribed Image Text:= 109.1 and o= 70.6. You intend to draw a A population of values has a normal distribution with µ = random sample of size n = 69. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is between 96.4 and 121.8. P(96.4 < X < 121.8) = 0.1351 ✔ Find the probability that a sample of size n = 69 is randomly selected with a mean between 96.4 and 121.8. P(96.4 121.8) = 0.1428 x < < Add Work
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey,
assume the mean annual salary for graduates 10 years after graduation is $179,000. Assume the standard
deviation is $45,000. Suppose you take a simple random sample of 46 graduates. Round all answers to four
decimal places if necessary.
a. What is the distribution of X? X - NO 17900(
b. What is the distribution of x? - N( 179001✓
c. For a single randomly selected graduate, find the probability that her salary is between $177,248 and
$185,765. 0.0753
45000
d. For a simple random sample of 46 graduates, find the probability that the average salary is between
$177,248 and $185,765.
e. For part d), is the assumption of normal necessary? No Yes
Transcribed Image Text:Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $179,000. Assume the standard deviation is $45,000. Suppose you take a simple random sample of 46 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - NO 17900( b. What is the distribution of x? - N( 179001✓ c. For a single randomly selected graduate, find the probability that her salary is between $177,248 and $185,765. 0.0753 45000 d. For a simple random sample of 46 graduates, find the probability that the average salary is between $177,248 and $185,765. e. For part d), is the assumption of normal necessary? No Yes
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