Question 2 It is known that the population wellbeing level of female follows a normal distribution. A researcher hypothesizes that the college students have a statistically significant higher Wellbeing level than 30, so the researcher randomly selected 36 college students and found the average wellbeing score of them is 32 and the standard deviation is 6. The significant hypothesis test at 0.05 level is shown below.     Identify and correct the mistakes in the test below:   Step 1: H0: The college students have a statistically significant different wellbeing level from 30. H1: The college students have a significantly higher wellbeing level than 30.   Step 2:  =0.05, two tailed, df= n-1=35, Critical t= 1.645   Step 3: t = 0.33 Step 4: conclusion Since the obtained t = 0.33 is less extreme than the critical t =  1.645, we fail to reject the null hypothesis. We infer that male students have a significant different wellbeing level from 30.

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 2 It is known that the population wellbeing level of female follows a normal distribution. A researcher hypothesizes that the college students have a statistically significant higher Wellbeing level than 30, so the researcher randomly selected 36 college students and found the average wellbeing score of them is 32 and the standard deviation is 6. The significant hypothesis test at 0.05 level is shown below.

 

 

Identify and correct the mistakes in the test below:

 

Step 1:

H0: The college students have a statistically significant different wellbeing level from 30.

H1: The college students have a significantly higher wellbeing level than 30.

 

Step 2:  =0.05, two tailed, df= n-1=35, Critical t= 1.645

 

Step 3:

t = 0.33

Step 4: conclusion

Since the obtained t = 0.33 is less extreme than the critical t =  1.645, we fail to reject the null hypothesis. We infer that male students have a significant different wellbeing level from 30.

 

 

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