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 isa sample of the hours of sleep of 20 random teenagers:7.5 6 6.5 89 |106.5 8| 867.5 97 6.5 || | 5Is there enough evidence at the 5% level thatthe average hours of sleep of a teenager isgreater than 6.5 hours?6|617Step #1: hypothesizeList what is given:5l = 6.5X = 7,28N= 20%3DX=0.05List your Ho and Ha: Ho: l = 6.5 The average hours of sleep of a teenager isequal to 6.5 hours.Haill76.5 The average hours of sleep of a teenager isgreater 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.Population10(Sample Size)→ All teenagers 10(20) = 200Extra by hand: lM =6.5 X=7.28 S-1.585 n= 20SE =S = 1.585 =0.354420+-X-U = Z.28-6.5=2.200.3544The critical value from the t table is (df =19 at 95%): 2.09Since 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 grcatarthan 6.5 hours.Confidence interval:Condition #1: Random sample and independentRandom is stated.Condition #2: Normal Assume is normal.Find the following:X= 7. 28S=1.585N= 20+*= 2.09又++()7.28± 2.09(0.35H4)7.28-0.74077.28 +0:74076.53938.020795% Confident Interval: We are 95% confident the average hours of sleepof teenagers is between 6.54 to 8.02 hours.

Question

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 isa sample of the hours of sleep of 20 random teenagers:7.5 6 6.5 89 |106.5 8| 867.5 97 6.5 || | 5Is there enough evidence at the 5% level thatthe average hours of sleep of a teenager isgreater than 6.5 hours?6|617Step #1: hypothesizeList what is given:5l = 6.5X = 7,28N= 20%3DX=0.05List your Ho and Ha: Ho: l = 6.5 The average hours of sleep of a teenager isequal to 6.5 hours.Haill76.5 The average hours of sleep of a teenager isgreater 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) = 200Extra by hand: lM =6.5 X=7.28 S-1.585 n= 20SE =S = 1.585 =0.354420+-X-U = Z.28-6.5=2.200.3544The critical value from the t table is (df =19 at 95%): 2.09Since 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 grcatarthan 6.5 hours.Confidence interval:Condition #1: Random sample and independentRandom is stated.Condition #2: Normal Assume is normal.Find the following:X= 7. 28S=1.585N= 20+*= 2.09又++()7.28± 2.09(0.35H4)7.28-0.74077.28 +0:74076.53938.020795% Confident Interval: We are 95% confident the average hours of sleepof teenagers is between 6.54 to 8.02 hours.

Accepted Answer

Hypothesis testing :
Hypothesis testing is a type of statistical inference that uses sample data to…