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- Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane. Miles with Miles with Person 87 92 Octane Octane 1 234 237 2 257 238 243 229 4 215 224 5 114 119 287 297 7 315 351 8. 229 241 9 192 186 10 204 209 11 547 562 Do the data support that different octanes produce different miles per gallon at the a = 0.02 level of significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Ha = H1 - H2, where 4i is the population mean mileage for Octane 87 and lz is the mean mileage for Octane 92. Ho: Ha Select an answer H1: Ha Select an answer b. What is the significance level? a =…6. A kinesiologist wanted to examine the effects of temperature and humidity on exercise performance. Each participant was asked to walk on a treadmill at a normal pace for 60 minutes, and the kinesiologist recorded the distance walked (miles). She assigned participants to one of 4 conditions that varied in temperature (normal or high) and humidity (normal or high). Mean distance walked by the four groups are shown in the table below. Assume a = .05 and Tukey HSD = 0.39. Normal temperature High temperature Normal humidity M = 3.00 M = 2.80 High humidity M = 2.80 M = 2.00 Complete the following conclusion: The factorial ANOVA revealed significant main effects of temperature [F (1, 24) = 25.00, p<.05] and humidity [F (1, 24) = 19.65, p<.05] and a significant Temperature x Humidity interaction [F (1, 24) = 9.25, p < .05].Use specific statistical tool so check that modules have strong impact on average. Student ID E94 5 67 9 10 1 12 15 18 19 20 13 14 16 17 Pre-module 1s 21 16 22 19 24 172 22 18 14 16 19 20 12 22 16 17 16 18 score Past- module 22 25 17 24 16 29 20 23 19 20 15 15 18 26 18 24 18 25 19 16 score
- 10. If there are 12 numbers in a set of data, the 2nd quartile is the?* 2nd number 5th number 6th number average of 6th and 7th number6. Find out the median of the following items : 5, 7, 9, 12, 10, 8, 7, 15 21 If the number of values are odd, then after arranging the data in ascending or descendin 'median but if the number of items are even, the AM of and +1) th item is the4. In the ordered data: 20, a, 25, 30, 40, b, 49. If the first quartile=23.5 and IQR=19, then the values of a and b are: a=21.5, b=45.5 a=21, b=48 a=22, b=45 a=22.5 , b=45.5 5. Let X-Bin (12, 0.2), then * P (X 2 1) = O 1- 0.212 O 0.812 O1- 0.812 O 0.212
- 15. Research results suggest that IQ scores for boys Plomin, 2006). A typical study looking at 10-year-old are more variable than IQ scores for girls (Arden & size would be reported in a journal article. children classifies participants by gender and by low. average, or high IQ. Following are representing the research results. Do the data indicate a significant difference between the frequency distri- butions for males and females? Test at the .05 level of significance and describe the difference. hypothetical data 1 IQ Low Average High Вoys 18 42 20 80 Girls 12 54 14 80 n = 160 Int AvaConsider the following set of numbers, each of which represents the number of hours of "cramming" that 9 students put in the two days before an exam. 4, 6, 6, 8, 8, 8, 10, 10, 12. What is the mean number of hours that these 9 students crammed for the exam? 6. 7. 8. 6. O 10The following sample was obtained from the population. 13,7,6,12,0,4 a) Compute the sample mean.
- 6. If a student has taken ten exams in five different courses. The scores on the ten exams were 100, 78, 60, 96, 71, 81, 71, 94, 51, 73 then find all measures of central tendency and dispersion for these data.Seven instructors are rated by first and seconf year students on “clarity of presentation” and the results are tabulated. Is there a significant correlation between the ratings of freshmen and sophomores on the clarity of presentation of theseveninstructors? Intructor Freshmen Sophomores 1 44 58 2 39 42 3 36 18 4 35 22 5 33 31 6 29 38 7 22 3820. Consider the following data: 40, 45, 55, 65. ?, ?, 75, 75, 78, 83 Then use the suitable measure to calculate the average and dispersion for the given data.
