12/07/21 1. What is the total area under the curve for a standard normal distribution?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Stats RM Bell Ringer 1
12/07/21
1. What is the total area under the curve for a standard normal distribution?
2. In a standard normal distribution, what percentage of the area falls below the
mean?
3. In a standard normal distribution, what percentage of the area under the curve falls
within 1 standard deviation of the mean? What percentage of the area falls within
2 standard deviations of the mean?
4. Assuming a standard normal distribution, if the mean of a set of data was 50 and
the standard deviation was 8, what percentage of the data values would you expect
to fall between 50 and 58?
..
5. In #4 above, what percentage of the data values would you expect to fall between
50 and 66?
6. In #4 above, what percentage of the data values would you expect to be below 42?
7. Assuming a standard normal distribution, what is the area under the curve between
the mean and the z-value of 2.24?
Transcribed Image Text:Stats RM Bell Ringer 1 12/07/21 1. What is the total area under the curve for a standard normal distribution? 2. In a standard normal distribution, what percentage of the area falls below the mean? 3. In a standard normal distribution, what percentage of the area under the curve falls within 1 standard deviation of the mean? What percentage of the area falls within 2 standard deviations of the mean? 4. Assuming a standard normal distribution, if the mean of a set of data was 50 and the standard deviation was 8, what percentage of the data values would you expect to fall between 50 and 58? .. 5. In #4 above, what percentage of the data values would you expect to fall between 50 and 66? 6. In #4 above, what percentage of the data values would you expect to be below 42? 7. Assuming a standard normal distribution, what is the area under the curve between the mean and the z-value of 2.24?
Problem Se
12/09/21
Stats RM I
6. Rock Star took in $68 million at the box office. In what percentile does that place
this movie?
7. In what percentile was Along Came Polly?
8. What level of box office earnings represents the 25th Percentile of Jennifer's
movies?
eni
9. What is the z-score of Derailed?
42
42-
l
50
mperica
ruse
10. Assuming the distribution for Zoe's movies is normally distributed, what is the
range of results in which we would expect to find 99.7% of all of her movies?
3.50
%3D
2.
Transcribed Image Text:Problem Se 12/09/21 Stats RM I 6. Rock Star took in $68 million at the box office. In what percentile does that place this movie? 7. In what percentile was Along Came Polly? 8. What level of box office earnings represents the 25th Percentile of Jennifer's movies? eni 9. What is the z-score of Derailed? 42 42- l 50 mperica ruse 10. Assuming the distribution for Zoe's movies is normally distributed, what is the range of results in which we would expect to find 99.7% of all of her movies? 3.50 %3D 2.
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