2. Assume that the average number of apps on a smartphone is normally distributed with a mean of 90 and standard deviation of 25. A random sample of 100 smartphones collected. (5pts each) A. Find the sampling mean. B. Find the standard error of the mean. HINT: Use the formula for σ. On the axis above, do parts C-G. C. Sketch a normal curve. (3 pts) D. Label the axis with correct letter (z, x or x) to represent a normal distribution. (3pts) E. Label the axis with the sampling mean (the value from #2A). (2pts) F. Label the axis with the other 6 values (the values that represent 1,2, and 3 standard errors of the mean away from the mean, the value you found in #2B). (HINT: These 6 numbers you put on the axis are NOT identical to the 6 numbers you put on the axis in 1D.) (6pts) G. Shade the area under the curve that corresponds to "less than 85". (2 pts) H. Find the probability that the sample mean is less than 85. Show your work or what you enter into a calculator. Round to 4 decimal places. (8pts)
2. Assume that the average number of apps on a smartphone is normally distributed with a mean of 90 and standard deviation of 25. A random sample of 100 smartphones collected. (5pts each) A. Find the sampling mean. B. Find the standard error of the mean. HINT: Use the formula for σ. On the axis above, do parts C-G. C. Sketch a normal curve. (3 pts) D. Label the axis with correct letter (z, x or x) to represent a normal distribution. (3pts) E. Label the axis with the sampling mean (the value from #2A). (2pts) F. Label the axis with the other 6 values (the values that represent 1,2, and 3 standard errors of the mean away from the mean, the value you found in #2B). (HINT: These 6 numbers you put on the axis are NOT identical to the 6 numbers you put on the axis in 1D.) (6pts) G. Shade the area under the curve that corresponds to "less than 85". (2 pts) H. Find the probability that the sample mean is less than 85. Show your work or what you enter into a calculator. Round to 4 decimal places. (8pts)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Transcribed Image Text:2. Assume that the average number of apps on a smartphone is normally distributed
with a mean of 90 and standard deviation of 25. A random sample of 100
smartphones collected. (5pts each)
A. Find the sampling mean.
B. Find the standard error of the mean.
HINT: Use the formula for σ.
On the axis above, do parts C-G.
C. Sketch a normal curve. (3 pts)
D. Label the axis with correct letter (z, x or x) to represent a normal distribution.
(3pts)
E. Label the axis with the sampling mean (the value from #2A). (2pts)
F. Label the axis with the other 6 values (the values that represent 1,2, and 3
standard errors of the mean away from the mean, the value you found in #2B).
(HINT: These 6 numbers you put on the axis are NOT identical to the 6 numbers
you put on the axis in 1D.) (6pts)
G. Shade the area under the curve that corresponds to "less than 85". (2 pts)
H. Find the probability that the sample mean is less than 85. Show your work or
what you enter into a calculator. Round to 4 decimal places. (8pts)
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