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Please Create your own Statistic base on the examples. Similar to questions from the picture.  DO NOT COPY AN EXAMPLE NUMBERS

Please Create your own Statistic base on the examples. Similar to questions from the picture.  DO NOT COPY AN EXAMPLE NUMBERS

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please Create your own Statistic base on the examples. Similar to questions from the picture.  DO NOT COPY AN EXAMPLE NUMBERS.  

Create your problem: It is reported that the average hours of sleep of all teenagers is 6.5 hours. Here is a sample of the hours of sleep of 20 random teenagers: 7.5 6 6.5 8 9 | 106.5 8| 8 67.5 9 7 6.5 || | 5 Is there enough evidence at the 5% level that the average hours of sleep of a teenager is greater than 6.5 hours? 6|6 17 Step #1: hypothesize List what is given: 5 l = 6.5 X = 7,28 N= 20 %3D X=0.05 List your Ho and Ha: Ho: l = 6.5 The average hours of sleep of a teenager is equal to 6.5 hours. Haill76.5 The average hours of sleep of a teenager is greater than 6.5 hours. Step #2: Prepare Check conditions: Condition #1: Random sample and independent → Random is stated. Condition #2: Normal- Assume is normal. Condition #3: Big population must be at least 10 times larger than the sample size. Population>10(Sample Size)→ All teenagers > 10(20) = 200 Extra by hand: lM =6.5 X=7.28 S-1.585 n= 20 SE =S = 1.585 =0.3544 20 +-X-U = Z.28-6.5=2.20 0.3544 The critical value from the t table is (df =19 at 95%): 2.09 Since our t = 2.20 the p-value would be smaller than p-value for † - 2.09 %3D
Transcribed Image Text:Create your problem: It is reported that the average hours of sleep of all teenagers is 6.5 hours. Here is a sample of the hours of sleep of 20 random teenagers: 7.5 6 6.5 8 9 | 106.5 8| 8 67.5 9 7 6.5 || | 5 Is there enough evidence at the 5% level that the average hours of sleep of a teenager is greater than 6.5 hours? 6|6 17 Step #1: hypothesize List what is given: 5 l = 6.5 X = 7,28 N= 20 %3D X=0.05 List your Ho and Ha: Ho: l = 6.5 The average hours of sleep of a teenager is equal to 6.5 hours. Haill76.5 The average hours of sleep of a teenager is greater than 6.5 hours. Step #2: Prepare Check conditions: Condition #1: Random sample and independent → Random is stated. Condition #2: Normal- Assume is normal. Condition #3: Big population must be at least 10 times larger than the sample size. Population>10(Sample Size)→ All teenagers > 10(20) = 200 Extra by hand: lM =6.5 X=7.28 S-1.585 n= 20 SE =S = 1.585 =0.3544 20 +-X-U = Z.28-6.5=2.20 0.3544 The critical value from the t table is (df =19 at 95%): 2.09 Since our t = 2.20 the p-value would be smaller than p-value for † - 2.09 %3D
Create your problem: Compare your p-value to the significance level: p-value =O compared alpha 0.05. The p-valuc is smaller than alpha. Step #4: Interpret Write your conclusion: We reject Ho . There is statistically significant evidence to rejoct +Hto (p=0). We conclude the average hours of skep of teenagers is grcatar than 6.5 hours. Confidence interval: Condition #1: Random sample and independent Random is stated. Condition #2: Normal Assume is normal. Find the following: X= 7. 28 S=1.585 N= 20 +*= 2.09 又++() 7.28± 2.09(0.35H4) 7.28-0.7407 7.28 +0:7407 6.5393 8.0207 95% Confident Interval: We are 95% confident the average hours of sleep of teenagers is between 6.54 to 8.02 hours.
Transcribed Image Text:Create your problem: Compare your p-value to the significance level: p-value =O compared alpha 0.05. The p-valuc is smaller than alpha. Step #4: Interpret Write your conclusion: We reject Ho . There is statistically significant evidence to rejoct +Hto (p=0). We conclude the average hours of skep of teenagers is grcatar than 6.5 hours. Confidence interval: Condition #1: Random sample and independent Random is stated. Condition #2: Normal Assume is normal. Find the following: X= 7. 28 S=1.585 N= 20 +*= 2.09 又++() 7.28± 2.09(0.35H4) 7.28-0.7407 7.28 +0:7407 6.5393 8.0207 95% Confident Interval: We are 95% confident the average hours of sleep of teenagers is between 6.54 to 8.02 hours.
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