Statistics Worksheets

hapter 7, Section 2, Exercise 031

Find the expected count and the contribution to the chi-square statistic for the (Group 3, No) cell in the two-way table below.

	Yes	No	Total
Group 1	55	41	96
Group 2	139	64	203
Group 3	66	29	95
Total	260	134	394

Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places. Expected count= contribution to the chi-square statistic=

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apter 7, Section 2, Exercise 032

Find the expected count and the contribution to the chi-square statistic for the (A,E) cell in the two-way table below.

	D	E	F	G	Total
A	37	33	38	39	147
B	71	85	68	53	277
C	20	36	25	30	111
Total	128	154	131	122	535

Round your answer for the expected count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places. Expected count = Enter your answer; Expected count contribution to the chi-square statistic = Enter your answer; contribution to the chi-square statistic

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Chapter 7, Section 2, Exercise 033

Find the expected count and the contribution to the chi-square statistic for the (Control, Disagree) cell in the two-way table below.

	Strongly Agree	Agree	Neutral	Disagree	Strongly Disagree
Control	38	48	5	12	11
Treatment	57	45	10	7	0

Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places. Expected count= contribution to the chi-square statistic=

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hapter 7, Section 2, Exercise 034

Find the expected count and the contribution to the chi-square statistic for the (Group 1, Yes) cell in the two-way table below.

	Yes	No
Group 1	717	275
Group 2	1162	323

Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places. Expected count= contribution to the chi-square statistic=

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apter 7, Section 2, Exercise 035

Give the degrees of freedom for the chi-square test based on the two-way table.

	Yes	No	Total
Group 1	56	44	100
Group 2	132	68	200
Group 3	72	28	100
Total	260	140	400

Degrees of freedom=Enter your answer in accordance to the question statement

exact number, no tolerance

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Chapter 8, Section 2, Exercise 041 Consider the data with analysis shown in the following computer output: Level N Mean StDev A 5 10.400 3.049 B 5 16.800 2.168 C 5 10.800 2.387 Source DF SS MS F P Groups 2 128.53 64.27 9.78 0.003 Error 12 78.78 6.57 Total 14 207.31 Is there sufficient evidence of a difference in the population means of the three groups? Yes No Click if you would like to Show Work for this question: Open Show Work SHOW HINT LINK TO TEXT Question Attempts: 0 of 3 used   SAVE FOR LATER SUBMIT ANSWER
Chapter 8, Section 2, Exercise 042 Consider the data with analysis shown in the following computer output: Level N Mean StDev A 5 10.300 2.856 B 5 16.800 2.168 C 5 10.800 2.387 Source DF SS MS F P Groups 2 130.83 65.42 10.57 0.002 Error 12 74.22 6.19 Total 14 205.05 What is the pooled standard deviation? What degrees of freedom are used in doing inferences for these means and differences in means? Round your answer for the pooled standard deviation to two decimal places. The pooled standard deviation is . degrees of freedom= Click if you would like to Show Work for this question: Open Show Work SHOW HINT LINK TO TEXT

apter 8, Section 2, Exercise 046 Consider the data with analysis shown in the following computer output: Level N Mean StDev A 5 87.566 4.952 B 5 76.167 6.555 C 7 80.000 9.230 D 7 69.333 6.154 Source DF SS MS F P Groups 3 1034.13 344.71 6.84 0.002 Error 20 1008.35 50.42 Total 23 2042.48 Is there sufficient evidence of a difference in the population means of the four groups? Yes No Click if you would like to Show Work for this question: Open Show Work SHOW HINT LINK TO TEXT

	hapter 8, Section 2, Exercise 047 Consider the data with analysis shown in the following computer output: Level N Mean StDev A 6 85.624 5.374 B 5 76.167 6.555 C 6 80.000 9.230 D 7 69.333 6.154 Source DF SS MS F P Groups 3 911.23 303.74 6.27 0.004 Error 20 969.47 48.47 Total 23 1880.70 What is the pooled standard deviation? What degrees of freedom are used in doing inferences for these means and differences in means? Round your answer for the pooled standard deviation to two decimal places. The pooled standard deviation is . degrees of freedom= Click if you would like to Show Work for this question: Open Show Work SHOW HINT LINK TO TEXT Question Attempts: 0 of 3 used   SAVE FOR LATER SUBMIT ANSWER
apter 9, Section 2, Exercise 030 Use the following ANOVA table for regression to answer the questions. Analysis of Variance Source DF SS MS F P Regression 1 318.7 318.7 2.01 0.158 Residual Error 174 27596.4 158.6 Total 175 27915.1

	Give the F-statistic and p-value. Enter the exact answers. The F-statistic is . The p-value is .
apter 9, Section 2, Exercise 031 Use the following ANOVA table for regression to answer the questions. Analysis of Variance Source DF SS MS F P Regression 1 3380.1 3380.1 20.4 0.000 Residual Error 174 28831.8 165.7 Total 175 32211.9

	Give the F-statistic and p-value. Enter the exact answers. The F-statistic is . The p-value is . SHOW HINT
Chapter 9, Section 2, Exercise 032 Use the following ANOVA table for regression to answer the questions. Response: Y Source DF Sum Sq Mean Sq F-value Pr(>F) Regression 1 359.90 359.90 11.12 0.001 Residual Error 359 11620.83 32.37 Total 360 11980.73

	Give the F-statistic and p-value. Enter the exact answers. The F-statistic is . The p-value is .
Chapter 9, Section 2, Exercise 033 Use the following ANOVA table for regression to answer the questions. Response: Y Source DF Sum Sq Mean Sq F-value Pr(>F) Regression 1 10.087 10.087 2.89 0.090 Residual Error 342 1193.580 3.490 Total 343 1203.667

Give the F-statistic and p-value. Enter the exact answers. The F-statistic is . The p-value is .

Chapter 9, Section 3, Exercise 059

Two intervals are given, A and B, for the same value of the explanatory variable.

A: 91 to 101;

B: 93 to 99;

(a) Which interval is the confidence interval for the mean response?

Which interval is the prediction interval for the response?

(b) What is the predicted value of the response variable for this value of the explanatory variable? Enter the exact answer. The predicted value is .

exact number, no tolerance

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apter 9, Section 3, Exercise 058

Two intervals are given, A and B, for the same value of the explanatory variable.

A: 3 to 19;

B: 2 to 20;

(a) Which interval is the confidence interval for the mean response?

Which interval is the prediction interval for the response?

(b) What is the predicted value of the response variable for this value of the explanatory variable? Enter the exact answer. The predicted value is .

exact number, no tolerance

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hapter 9, Section 3, Exercise 060

Two intervals are given, A and B, for the same value of the explanatory variable.

A: 3.8 to 6.6;

B: 2.7 to 7.7;

(a) Which interval is the confidence interval for the mean response?

Which interval is the prediction interval for the response?

(b) What is the predicted value of the response variable for this value of the explanatory variable? Enter the exact answer. The predicted value is .

exact number, no tolerance

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wo intervals are given, A and B, for the same value of the explanatory variable.

A: 17.9 to 23.9;

B: 18.3 to 23.5;

(a) Which interval is the confidence interval for the mean response?

Which interval is the prediction interval for the response?

(b) What is the predicted value of the response variable for this value of the explanatory variable? Enter the exact answer. The predicted value is .

exact number, no tolerance

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