1) The following data is mile times for a variety of participants in a race, divided by the...

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1) The following data is mile times for a variety of   participants in a race, divided by the participant's primary sport of   interest.                                         Tennis   Soccer   Baseball                            8   7   9                            7   6.5   8                            7.5   8   7                            7   7   8                                                              Is there   evidence at .1 significance of a difference in the mean mile time for the   tennis group and the rest of the participants?       Is there   evidence at .1 significance of a difference in the mean mile time for the   different groups?                                            2) When are   ANOVA tests useful?                                                              3) When are   Chi-Square tests useful?                                                           4) In a   recent survey of 500 grocery shoppers, 29% of males and 40% of females make   an impulse purchase when they shop.       If the   survey consists of 250 males and 250 females, at .05 significance is there   evidence of a difference in proportion between the two populations?                                         5) Using   the following table, compute the expected frequency of each cell, and compute   the chi-square statistic.                                            A   B   C   Total                      X   20   30   25   75                      Y   30   20   25   75                      Total   50   50   50   150                                                        6) Find   data below which enumerates wines' various costs and critical scores.                                                  Wine   Price   Score                            A   5   56                            B   10   48                            C   15   65                            D   18   60                            E   20   80                            F   25   70                            G   30   61                            H   12   68                                                              Plot the   data. Which field do you choose as your independent variable?                                                  7) Use the   data to make a linear regression equation. What is the coefficient of   correlation?                                            8) Use the   t-test to determine whether the variables are independent or not.

Biswajit · Accepted Answer

Sheet1
	Test #3
	1) The following data is mile times for a variety of participants in a race, divided by the participant's primary sport of interest.
	Tennis	Soccer	Baseball
	8	7	9		t-Test: Two-Sample Assuming Equal Variances					t-Test: Two-Sample Assuming Equal Variances					Anova: Single Factor
	7	6.5	8			Tennis	Soccer				Tennis	Baseball			SUMMARY
	7.5	8	7		Mean	7.375	7.125			Mean	7.375	8.000			Groups	Count	Sum	Average	Variance					t-Test: Two-Sample Assuming Unequal Variances					t-Test: Two-Sample Assuming Unequal Variances
	7	7	8		Variance	0.229	0.396			Variance	0.

1) The following data is mile times for a variety of participants in a race, divided by the participant's primary sport of interest. Tennis Soccer Baseball 8 7 9 7 6.5 8 7.5 8 7 7 7 8 Is there...

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1) The following data is mile times for a variety of participants in a race, divided by the participant's primary sport of interest.

Tennis	Soccer	Baseball
8	7	9
7	6.5	8
7.5	8	7
7	7	8

Is there evidence at .1 significance of a difference in the mean mile time for the tennis group and the rest of the participants?
Is there evidence at .1 significance of a difference in the mean mile time for the different groups?

2) When are ANOVA tests useful?

3) When are Chi-Square tests useful?

4) In a recent survey of 500 grocery shoppers, 29% of males and 40% of females make an impulse purchase when they shop.
If the survey consists of 250 males and 250 females, at .05 significance is there evidence of a difference in proportion between the two populations?

5) Using the following table, compute the expected frequency of each cell, and compute the chi-square statistic.

	A	B	C	Total
X	20	30	25	75
Y	30	20	25	75
Total	50	50	50	150

6) Find data below which enumerates wines' various costs and critical scores.

Wine	Price	Score
A	5	56
B	10	48
C	15	65
D	18	60
E	20	80
F	25	70
G	30	61
H	12	68

Plot the data. Which field do you choose as your independent variable?

7) Use the data to make a linear regression equation. What is the coefficient of correlation?

8) Use the t-test to determine whether the variables are independent or not.