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M4:L2 and M4:L3

Homework 11 from the 14-week course

Question 1 (Mandatory) (1 point)

 

The average number of calories from a fast food meal for adults in the US is 842 calories. A nutritionist believes that the average is less than reported. They sampled 32 meals that adults ordered and found the sample mean to be 832 calories with a standard deviation of 49 calories. 

What are the null and alternative hypotheses?

Question 1 options:

H subscript 0 colon mu equals 842 H subscript A colon mu less than 842

H subscript 0 colon mu equals 842 H subscript A colon mu greater than 842

H subscript 0 colon mu greater than 858 H subscript A colon mu equals 858

H subscript 0 colon mu equals 858 H subscript A colon mu greater than 858

Question 2 (Mandatory) (2.5 points)

 

Question 2 options:

Boys of a certain age have a mean weight of 85 pounds. A complaint is made that in a municipal children's home the boys are underfed. As one bit of evidence, a random sample of 30 of these boys are weighed.  Use the data below and a significance level of 0.05 to determine if the complaint is legitimate.   

Click  here  to open the data in StatCrunch. 

Table Description automatically generated

Ho: μ 

                         Please notice that the parameter is already in the hypothesis statements. 

HA: μ 

t-stat =

                         Please round to 2 decimal places. 

p-value =

               Do not round.

Decision:

                   Type either Retain Ho or Reject Ho

Question 3 (Mandatory) (1 point)

 

Write a summary statement for the hypothesis test above. 

Question 3 options:

Question 4 (Mandatory) (1 point)

 

Candidate T wants to determine if there is a difference in his popularity between men and women.  To test the claim of this difference, he conducts a survey of voters.  The sample contains 375 men and 350 women, of which 155 men and 123 of the women favor his candidacy.  Do these values indicate a significant difference in popularity?  Use a 0.05 significance level.

What are the hypothesis statements?

Question 4 options:

H subscript o : space p subscript m equals space p subscript w H subscript A : space p subscript m not equal to space p subscript w

H subscript o italic colon italic space mu subscript m italic equals italic space mu subscript w H subscript A italic colon italic space mu subscript m italic not equal to italic space mu subscript w

H subscript o italic colon italic space p subscript m italic equals italic space p subscript w H subscript A italic colon italic space p subscript m less than italic space p subscript w

H subscript o italic : italic space p subscript m italic equals italic space p subscript w H subscript A italic : italic space p subscript m greater than italic space p subscript w

Question 5 (Mandatory) (1.5 points)

 

Question 5 options:

Candidate T wants to determine if there is a difference in his popularity between men and women.  To test the claim of this difference, he conducts a survey of voters.  The sample contains 450 men and 475 women, of which 180 men and 160 of the women favor his candidacy.  Do these values indicate a significant difference in popularity?  Use a 0.05 significance level.

z-stat =

                 Round to 2 decimal places.

p-value =

             Do not round.

Decision:  

           Type either Retain Ho or Reject Ho

Question 6 (Mandatory) (1 point)

 

Which is the correct summary statement for the hypothesis test above?

Question 6 options:

The sample data shows that there is a difference in the candidate's popularity among men and women.

The sample data shows that there is no difference in the candidate's popularity.

The sample data shows that the candidate's popularity is higher among men than women.

The sample data shows that the candidate's popularity is above 33%.