1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 cocktail 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 count 45 47 39 47 51 39 40 42 35 38 52 52 53 54 49 49 48 51 52 51 66 64 62 61 58 57 56 59 59 60
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Would someone familiar with SPSS be able to help me with sub-questions b and c please?
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- Question #4. US Universities found that 72% of people are concerned about the possibility that their personal records could be stolen over the Internet. If a random sample of 300 college students at a Midwestern university were taken and 228 of them were concerned about the possibility that their personal records could be stolen over the Internet, could you conclude at the 0.025 level of significance that a higher proportion of the university's college students are concerned about Internet theft than the public at large? Report the p-value for this test. Z0.025 = 1.96Question 1 In a flowering plant species, snapdragons, variation in flower color is determined by a single gene. RRgenotype individuals are red, Rr genotype individuals are pink, and rr genotype individuals are white. In a cross between two heterozygous (Rr) individuals, the expected ratio of red:pink:white-flowered offsprings is 1:2:1. Biologists did two cross experiments, and ask whether the results differ significantly from the expected. (a) The first cross experiment ends up with 40 offsprings, including 10 red, 21 pink, and 9 white. Write the null and alternative hypothesis for the chi-square test. Interpret the p-value and state the conclusion from your test. (b) The second cross experiment ends up with 4000 offsprings, including 1000 red, 2100 pink, and 900 white. This time, can you reject the null hypothesis? why? (Bonus question) Do the proportions of observed data in two experiments differ? Did the chi-square test results from…QUESTION 19 To study whether the students at a university are more or less satisfied with the current food service compared to the previous food service, a sample of 90 current students is taken and finds that 37 are satisfied with the current food service. A similar survey was taken for the previous food service in which 89 students surveyed found that 40 were satisfied with the previous food service. When testing the hypothesis (at the 5% level of significance) a higher percentage of students were satisfied with the previous food service than with the current food service, what is the test statistic? (please round your answer to 2 decimal places)
- Question 14 Exercise and the BrainIt is well established that exercise is beneficial for our bodies. Recent studies appear to indicate that exercise can also do wonders for our brains, or, at least, the brains of mice. In a randomized experiment, one group of mice was given access to a running wheel while a second group of mice was kept sedentary. According to an article describing the study, "The brains of mice and rats that were allowed to run on wheels pulsed with vigorous, newly born neurons, and those animals then breezed through mazes and other tests of rodent IQ"1 compared to the sedentary mice. Studies are examining the reasons for these beneficial effects of exercise on rodent (and perhaps human) intelligence. High levels of BMP (bone-morphogenetic protein) in the brain seem to make stem cells less active, which makes the brain slower and less nimble. Exercise seems to reduce the level of BMP in the brain. Additionally, exercise increases a brain protein called noggin, which…QUESTION 3 In a study of vehicle ownership, it has been found that 29% of U.S. households do not own a vehicle, with 49% owning 1 vehicle, and the remaining owning 2 or more vehicles. The data for a random sample of 206 households in a resort community are as follows:76 owned 0 vehicles, 105 owned 1 vehicle, and the remaining owned 2 or more vehicles.When testing (at the 5% level of significance) whether the vehicle-ownership distribution in this community differs from that of the nation as a whole what is the critical value? (please round your answer to 3 decimal places)Question 7 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below: Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 If the null and alternative hypotheses can be used to decide whether the new filtration system could be superior. Calculate the standardized test statistic. A. t_statistic = -21.2196 B. t_statistic = 21.2196 C. t_statistic = -2.1219 D. t_statistic = -2.1220
- Question 13 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 If the null and alternative hypotheses can be used to decide whether the new filtration system could be superior. Calculate the standardized test statistic.Question 20 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 Formulate the null and alternative hypotheses that can be used to decide whether the new filtration system could be superior. H0: the hypothesized mean is greater zero H0: the hypothesized mean is less than zero Ha: the hypothesized mean is less than zero Ha: the hypothesized mean…QUESTION 2 In a study of vehicle ownership, it has been found that 30% of U.S. households do not own a vehicle, with 46% owning 1 vehicle, and the remaining owning 2 or more vehicles. The data for a random sample of 192 households in a resort community are as follows:57 owned 0 vehicles, 104 owned 1 vehicle, and the remaining owned 2 or more vehicles.When testing (at the 5% level of significance) whether the vehicle-ownership distribution in this community differs from that of the nation as a whole what is the test statistic? (please round your answer to 3 decimal places)
- Question 5 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below: Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 Formulate the null and alternative hypotheses that can be used to decide whether the new filtration system could be superior. A. H0: the hypothesized mean is less or equal to zero Ha: the hypothesized mean is greater than zero B. H0: the hypothesized mean is greater or equal to zero Ha: the hypothesized mean…Question 11 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, use the 0.05 level of significance in determining whether the new filtration system could be superior. Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 Use the 0.05 level of significance to determine whether the new filtration system could be superior. A. There is enough evidence to support the claim B. There is no enough evidence to support the claim…A sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05