Assume that the distribution of heights of young women aged 16 to 22 is approximately Nomal with mean u = 62.05 inches. A random sample of 73 female undergraduate students at a University produced a sample mean height of can be derved from the adjacent chart. SHOW YOUR FORMULAS AND ALL WORK ON THIS PAGE a) Using the data set, perfom an analysis to detemine the below. Assume the Standard Deviation for the Sample is the same as the Standard Deviation of the Population: Mean Standard Deviation Standard Eror 62.65753425 2.95906882 0.346332809 Explain the difference between the Stardard Deviation and Standard Eror The standard deviation measurethe amount of dispersion from the individual data while the standard errar of the mean measure how the mean of the data is likaly to be from the true population mean b) Using the Z-Test for the Mean, assume that the Null Hypothesis is trying to determine if the sample mean is statistically different from Population mean of 62.05 at an 95% Confidence Level. Fill out the below Alpha Value Z-Statistic 0.05 -1.959963985 Remember to Apply the Formula c) Set up the Two Tailed Test, describe what the testing is meant to show and complete the below: Z-Critical Value Lower Bound of Confidence Interval Upper Bound of Confidence Interval P-Value 1.6449 0.6788 This method uses the Alpha Value to create CI Interval This method uses the Z-Statistic Above to detemine P-Value. Hint: Remember, if the Z-Statistic is positive that the Chart reads left to right. d) Based on the Critical Value and P-Value, explain your decision to Accept or Reject the Null Hypothesis e) Set up the Right Taled Test, describe what the testing is meant to show and complete the below: Z-Critical Value Lower Bound of Confidence Interval 1.6449 This method uses the Alpha Value to create Ci Interval This method uses the Z-Statistic Above to detemine P-Value. Hint: Remember, if the Z-Statistic is positive that the Chart reads left to right. Upper Bound of Confidence Interval P-Value Based on the Critical Value and P-Value, explain your decision to Accept or Reject the Null Hypothesis
Assume that the distribution of heights of young women aged 16 to 22 is approximately Nomal with mean u = 62.05 inches. A random sample of 73 female undergraduate students at a University produced a sample mean height of can be derved from the adjacent chart. SHOW YOUR FORMULAS AND ALL WORK ON THIS PAGE a) Using the data set, perfom an analysis to detemine the below. Assume the Standard Deviation for the Sample is the same as the Standard Deviation of the Population: Mean Standard Deviation Standard Eror 62.65753425 2.95906882 0.346332809 Explain the difference between the Stardard Deviation and Standard Eror The standard deviation measurethe amount of dispersion from the individual data while the standard errar of the mean measure how the mean of the data is likaly to be from the true population mean b) Using the Z-Test for the Mean, assume that the Null Hypothesis is trying to determine if the sample mean is statistically different from Population mean of 62.05 at an 95% Confidence Level. Fill out the below Alpha Value Z-Statistic 0.05 -1.959963985 Remember to Apply the Formula c) Set up the Two Tailed Test, describe what the testing is meant to show and complete the below: Z-Critical Value Lower Bound of Confidence Interval Upper Bound of Confidence Interval P-Value 1.6449 0.6788 This method uses the Alpha Value to create CI Interval This method uses the Z-Statistic Above to detemine P-Value. Hint: Remember, if the Z-Statistic is positive that the Chart reads left to right. d) Based on the Critical Value and P-Value, explain your decision to Accept or Reject the Null Hypothesis e) Set up the Right Taled Test, describe what the testing is meant to show and complete the below: Z-Critical Value Lower Bound of Confidence Interval 1.6449 This method uses the Alpha Value to create Ci Interval This method uses the Z-Statistic Above to detemine P-Value. Hint: Remember, if the Z-Statistic is positive that the Chart reads left to right. Upper Bound of Confidence Interval P-Value Based on the Critical Value and P-Value, explain your decision to Accept or Reject the Null Hypothesis
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
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Question
Can You answer part D, E and F of this part!
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Lower Bound of Confidence Interval
This method uses the Alpha Value to create CI IntervalsE
This method uses the Z-Statistic Above to determine P-Value.
Hint: Remember, if the Z-Statistic is positive that the Chart reads left to right.
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Data
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Assume that the distribution of heights of young women aged 16 to 22 is approximately Normal
with mean u = 62.05 inches. A random sample of 73 female undergraduate students at a
University produced a sample mean height of can be derived from the adjacent chart.
2.
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SHOW YOUR FORMULAS AND ALL WORK ON THIS PAGE
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8.
a)
Using the data set, perform an analysis to determine the below. Assume the Standard
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Deviation for the Sample is the same as the Standard Deviation of the Population:
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Mean
Standard Deviation
Standard Error
62.65753425
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2.95906882
0.346332809
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Explain the difference between the Stardard Deviation and Standard Error
The standard deviation measurethe amount of dispersion from the individual data while the standard errar of the mean measure how the mean of the data is likely to be from the true population mean.
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b)
sample mean is statisticaly different from Population mean of 62.05 at an 95% Confidence
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Using the Z-Test for the Mean, assume that the Null Hypothesis is trying to determine if the
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Alpha Value
Z-Statistic
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-1.959963985
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1.6449
This method uses the Alpha Value to create CI Interval
This method uses the Z-Statistic Above to determine P-Value.
Hint: Remember, if the Z-Statistic is positive that the Chart reads left to right.
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0.6788
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Z-Critical Value
1.6449
Lower Bound of Confidence Interval
Upper Bound of Confidence Interval
P-Value
This method uses the Alpha Value to create CI Interval
This method uses the Z-Statistic Above to determine P-Value.
Hint: Remember, if the Z-Statistic is posilive that the Chart reads left to right.
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Based on the Critical Value and P-Value, explain your decision to Accept or Reject the Null
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Confidence Level
Hypothesis Testing
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