Data show that men between the ages of 20 and 29 have a mean height of 69.3 inches, with a standard deviation of 2.6 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less t 2.6 inches. The heights (in inches) of 20 randomly selected players are shown in the table. Complete parts (a) through (c) below. E Click the icon to view the data table. (a) Are the given data normally distributed? (Check by constructing a normal probability plot.) O A. No, the normal probability plot has a curve. O B. No, not all the data lie within the bounds of the normal probability plot. Data Table OC. No, the plot has a curve and some of the data do not lie within the bounds. O D. Yes, the data come from a distribution that is approximately normal. (b) Compute the sample standard deviation. 72 74 71 71 76 74 72 77 72 75 70 73 74 75 73 74 74 s= inches 70 77 (Round to two decimal places as needed.) (c) Test the notion at the a =0.10 level of significance. What are the correct hypotheses for this test? Print Done The null hypothesis is Ho: 2.6. The alternative hypothesis is H,: ▼2.6. Calculate the value of the test statistic. xổ = (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is
Data show that men between the ages of 20 and 29 have a mean height of 69.3 inches, with a standard deviation of 2.6 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less t 2.6 inches. The heights (in inches) of 20 randomly selected players are shown in the table. Complete parts (a) through (c) below. E Click the icon to view the data table. (a) Are the given data normally distributed? (Check by constructing a normal probability plot.) O A. No, the normal probability plot has a curve. O B. No, not all the data lie within the bounds of the normal probability plot. Data Table OC. No, the plot has a curve and some of the data do not lie within the bounds. O D. Yes, the data come from a distribution that is approximately normal. (b) Compute the sample standard deviation. 72 74 71 71 76 74 72 77 72 75 70 73 74 75 73 74 74 s= inches 70 77 (Round to two decimal places as needed.) (c) Test the notion at the a =0.10 level of significance. What are the correct hypotheses for this test? Print Done The null hypothesis is Ho: 2.6. The alternative hypothesis is H,: ▼2.6. Calculate the value of the test statistic. xổ = (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
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A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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Question
Data show that men between the ages of 20 and 29 have a mean height of 69.3 inches, with a standard deviation of
2.6
inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than
2.6
inches. The heights (in inches) of
20
randomly selected players are shown in the table. Complete parts (a) through (c) below.
Transcribed Image Text:Data show that men between the ages of 20 and 29 have a mean height of 69.3 inches, with a standard deviation of 2.6 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than
2.6 inches. The heights (in inches) of 20 randomly selected players are shown in the table. Complete parts (a) through (c) below.
Click the icon to view the data table.
(a) Are the given data normally distributed? (Check by constructing a normal probability plot.)
A. No, the normal probability plot has a curve.
B. No, not all the data lie within the bounds of the normal probability plot.
Data Table
C. No, the plot has a curve and some of the data do not lie within the bounds.
D. Yes, the data come from a distribution that is approximately normal.
(b) Compute the sample standard deviation.
72 74 7171 76
70 77 74 72 72
77 72 75 70 73
74 75 73 74 74
S=
inches
(Round to two decimal places as needed.)
(c) Test the notion at the a = 0.10 level of significance.
What are the correct hypotheses for this test?
Print
Done
The null hypothesis is Ho:
2.6.
The alternative hypothesis is H,:
2.6.
Calculate the value of the test statistic.
(Round to two decimal places as needed.)
Use technology to determine the P-value for the test statistic.
The P-value is.
(Round to three decimal places as needed.)
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