weight for salmon is 12.3 pounds, with a standard deviation of 2 pounds. Assuming that the weights of salmon are nor- mally distributed, what is the probability that a randomly selected salmon will weigh 18 d. 1% a. between 12 and 15 pounds? b. less than 10 pounds? c. Between what two values will 95% of the salmon weights fall? 6.10 A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. a. What is the probability of getting a grade below 91 on this exam? b. What is the probability that a student scored between 65 and 897 c. The probability is 5% that a student taking the test scores higher than what grade? d. If the professor grades on a curve (i.e., gives A's to the top 10% of the class, regardless of the score), are you better off with a grade of 81 on this exam or a grade of 68 on a different exam, where the mean is 62 and the standard deviation is 3? Show your answer statistically and explain. 6.11 A statistical analysis of 1,000 long-distance telephone calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed, with µ 240 seconds and 40 seconds. a. What is the probability that a call lasted less than 180 seconds? b. What is the probability that a call lasted between 180 and 300 seconds? 6.12 certit under evalu 1,387 $18,7 Quali the sa For a i or she a. bel b. abo c. abo 6.13 of mac particu mm, b 22.010 process with a mm. Fe .thelp mn b. the p c. the d d. Wha the s 0.00 6.3 Evaluating Normality As discussed in Section 6.2, many continue mal distribution. This section presents two can be approximated by the normal distribu 1. Comparing the characteristics of the da tribution 2. Constructing a normal probability plot Comparing Data Characteris

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

6.10 detailed explanation 

weight for salmon is 12.3 pounds, with a standard deviation
of 2 pounds. Assuming that the weights of salmon are nor-
mally distributed, what is the probability that a randomly
selected salmon will weigh
18
d. 1%
a. between 12 and 15 pounds?
b. less than 10 pounds?
c. Between what two values will 95% of the salmon weights
fall?
6.10 A set of final examination grades in an introductory
statistics course is normally distributed, with a mean of 73
and a standard deviation of 8.
a. What is the probability of getting a grade below 91 on
this exam?
b. What is the probability that a student scored between 65
and 897
c. The probability is 5% that a student taking the test scores
higher than what grade?
d. If the professor grades on a curve (i.e., gives A's to the top
10% of the class, regardless of the score), are you better
off with a grade of 81 on this exam or a grade of 68 on a
different exam, where the mean is 62 and the standard
deviation is 3? Show your answer statistically and explain.
6.11 A statistical analysis of 1,000 long-distance telephone
calls made from the headquarters of the Bricks and Clicks
Computer Corporation indicates that the length of these
calls is normally distributed, with µ 240 seconds and
40 seconds.
a. What is the probability that a call lasted less than 180
seconds?
b. What is the probability that a call lasted between 180 and
300 seconds?
6.12
certit
under
evalu
1,387
$18,7
Quali
the sa
For a i
or she
a. bel
b. abo
c. abo
6.13
of mac
particu
mm, b
22.010
process
with a
mm. Fe
.thelp
mn
b. the p
c. the d
d. Wha
the s
0.00
6.3 Evaluating Normality
As discussed in Section 6.2, many continue
mal distribution. This section presents two
can be approximated by the normal distribu
1. Comparing the characteristics of the da
tribution
2. Constructing a normal probability plot
Comparing Data Characteris
Transcribed Image Text:weight for salmon is 12.3 pounds, with a standard deviation of 2 pounds. Assuming that the weights of salmon are nor- mally distributed, what is the probability that a randomly selected salmon will weigh 18 d. 1% a. between 12 and 15 pounds? b. less than 10 pounds? c. Between what two values will 95% of the salmon weights fall? 6.10 A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. a. What is the probability of getting a grade below 91 on this exam? b. What is the probability that a student scored between 65 and 897 c. The probability is 5% that a student taking the test scores higher than what grade? d. If the professor grades on a curve (i.e., gives A's to the top 10% of the class, regardless of the score), are you better off with a grade of 81 on this exam or a grade of 68 on a different exam, where the mean is 62 and the standard deviation is 3? Show your answer statistically and explain. 6.11 A statistical analysis of 1,000 long-distance telephone calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed, with µ 240 seconds and 40 seconds. a. What is the probability that a call lasted less than 180 seconds? b. What is the probability that a call lasted between 180 and 300 seconds? 6.12 certit under evalu 1,387 $18,7 Quali the sa For a i or she a. bel b. abo c. abo 6.13 of mac particu mm, b 22.010 process with a mm. Fe .thelp mn b. the p c. the d d. Wha the s 0.00 6.3 Evaluating Normality As discussed in Section 6.2, many continue mal distribution. This section presents two can be approximated by the normal distribu 1. Comparing the characteristics of the da tribution 2. Constructing a normal probability plot Comparing Data Characteris
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,