Q1 what is statistics and why is it important to science ( 5 Marks ) Q2 Indicate whether each of the following F statistics are significant based on the following information, assuminga 05 ( 3 Marks ) F (4, 120) 3 26 F (2, 60) 3 10 F (6, 500) 2 14 Q3 State the THREE assumptions for ANOVA and define each Identify which, if any, of the assumptions that can be violated ( 8 Marks ) Q4 Identify 5 factors that influence the magnitude of the t test ( 5 Marks ) Q5 A researcher thinks that people who drive red cars drive faster than people who drive white cars He recorded the speed of a random sample of red and white cars on a highway The data follow ( 10 Marks ) Red Cars White Cars Mean 72 5 mph 69 75mph Variance 7 32 mph 9 85 mph Sample Size 53 49 a)What is the research hypothesis b)Is a one tail or a two tail test more appropriate c)Calculate the appropriate statistical test d)Is the research hypothesis supported Explain Q6 Calculate the correlation coefficient for the previous data Is it significant brief statement to explain the results ( 10 Marks ) Self esteem Grades 10 00 83 00 9 00 97 00 8 00 92 00 7 00 83 00 7 00 93 00 6 00 97 00 6 00 75 00 6 00 68 00 5 00 59 00 4 00 65 00 Q7 Identify the three measures of central tendency, define each, and indicate which is the best to use and why ( 7 Marks ) Q8 Briefly define post hoc tests and explain what the main difference is between 'liberal' and 'conservative' of post hoc tests ( 5 Marks ) Q9 Answer the following questions based on this SPSS output ( 10 Marks ) ANOVA Traditional Sex Roles Score Sum of Squares di Mean Square F Sig Between Groups 15279 468 4 3019 086 170 897 000 Within Groups 8761 906 392 22 352 Total 24041 372 398Multiple Comparleone Dependent Variable Tradiforul Sax Roles Score LSD Difference 95 Confidence Interval Number of children (J) Number of children (I J) Sid Error Sig Lower Bound Upper Bound 1200 000 8 33 3 59 2100 5 53' 2 41 022 10 27 79 3 00 12 35' 2 77 1000 17 79 8 90 4 00 14 27 57 000 15 39 13 14 1 00 4 98' 70 000 3 59 8 33 2 00 2 42 816 5 32 4 19 3 00 7 30' 2 78 008 12 84 1 92 4 00 81 1000 10 51 8 10 2 00 100 5 53' 2 41 122 79 10 27 1 00 156 2 42 816 4 19 5 32 8 12 3 61 060 13 92 28 4 00 8 74 2 39 13 43 404 3 00 12 35' 2 77 000 8 90 17 79 1 00 2 78 008 1 92 12 84 2 00 8 82 3 61 28 13 92 400 1 92 2 75 485 7 33 3 49 4 00 14 27' 57 000 13 14 15 39 1 00 9 30 1000 8 10 10 51 2 00 8 74' 2 39 1000 4 04 13 43 3 00 1 92 2 75 485 3 49 7 33 The mean difference is significant at the 05 loved

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Q1-what is statistics and why is it important to science? ( 5 Marks ) Q2- Indicate whether each of the following F statistics are significant

Q1-what is statistics and why is it important to science? (5 Marks)

Q2- Indicate whether each of the following F statistics are significant based on the following information, assuminga = .05. (3 Marks)

F (4, 120) = 3.26
F (2, 60) = 3.10
F (6, 500) = 2.14

Q3- State the THREE assumptions for ANOVA and define each. Identify which, if any, of the assumptions that can be violated. (8 Marks)

Q4- Identify 5 factors that influence the magnitude of the t-test. (5 Marks)

Q5- A researcher thinks that people who drive red cars drive faster than people who drive white cars. He recorded the speed of a random sample of red and white cars on a highway. The data follow. (10 Marks)

	Red Cars	White Cars
Mean	72.5 mph	69.75mph
Variance	7.32 mph	9.85 mph
Sample Size	53	49

a)What is the research hypothesis?

b)Is a one-tail or a two-tail test more appropriate?

c)Calculate the appropriate statistical test.

d)Is the research hypothesis supported? Explain?

Q6- Calculate the correlation coefficient for the previous data. Is it significant? brief statement to explain the results. (10 Marks)

Self-esteem	Grades
10.00	83.00
9.00	97.00
8.00	92.00
7.00	83.00
7.00	93.00
6.00	97.00
6.00	75.00
6.00	68.00
5.00	59.00
4.00	65.00

Q7- Identify the three measures of central tendency, define each, and indicate which is the best to use and why. (7 Marks)

Q8- Briefly define post-hoc tests and explain what the main difference is between 'liberal' and 'conservative' of post-hoc tests? (5 Marks)

Q9- Answer the following questions based on this SPSS output. (10 Marks)

ANOVA Traditional Sex Roles Score Sum of Squares di Mean Square F Sig. Between Groups 15279.468 4 3019.086 170.897 000 Within Groups 8761.906 392 22.352 Total 24041.372 398Multiple Comparleone Dependent Variable: Tradiforul Sax Roles Score LSD Difference 95% Confidence Interval Number of children (J) Number of children (I-J) Sid. Error Sig. Lower Bound Upper Bound 1200 000 8.33 3.59 2100 -5.53' 2.41 022 -10.27 -.79 3.00 -12.35' 2.77 1000 -17.79 8.90 4.00 -14.27 .57 000 -15.39 -13.14 1.00 4.98' .70 000 3.59 8.33 2.00 2.42 816 -5.32 4.19 3.00 -7.30' 2.78 008 -12.84 -1.92 4.00 81 1000 -10.51 8.10 2.00 100 5.53' 2.41 122 79 10.27 1.00 156 2.42 816 -4.19 5.32 -8.12 3.61 060 -13.92 28 4.00 8.74 2.39 -13.43 -404 3.00 12.35' 2.77 000 8.90 17.79 1.00 2.78 008 1.92 12.84 2.00 8.82 3.61 -28 13.92 400 -1.92 2.75 485 7.33 3.49 4.00 14.27' 57 000 13.14 15.39 1.00 9.30 1000 8.10 10.51 2.00 8.74' 2.39 1000 4.04 13.43 3.00 1.92 2.75 485 -3.49 7.33 *. The mean difference is significant at the 05 loved