hello can you please help me with questions 2-10 please I have a review for my exam
Scenario 10-] Different varieties of 'uits and vegetables have different amounts of nutrients. These differences are important when these products are used to make baby food. We wish to compare the carbohydrate content of two varieties of peaches. The data were analyzed with MINITAB, and the following output was obtained: N Mean StDev SE Mean Variety 1 5 33.6 3.781 1.691 Variety 2 7 25.0 10.392 3.927 Difference = mu (Variety 1) - mu (Variety 2) Estimate for difference: 8.6 TTest of difference = 0 (vs not =): T-Value = 2.011 P-Value = 0.0791 DF = 8 . Use Scenario 10-]. Assuming the conditions for inference were met, which of the following is the most appropriate conclusion to draw at the a. = 0.05 level? We cannot reject H4; we do not have convincing evidence that the carbohydrate contents are different. We accept Ha: variety 1 has a higher carbohydrate content than variety 2. The test provides convincing evidence that the carbohydrate content of variety I is higher than variety 2. We reject Ho: variety I has a higher carbohydrate content than variety 2. The test provides convincing evidence that the carbohydrate contents of the two varieties are equal. P1P .05\"? . Use Scenario 10-]. We wish to test if the two varieties are signicantly different in their mean carbohydrate content. Which of the following are the appropriate null and alternative hypotheses for this situation? A Hoir=12H3ra B. C- Hozr=ziazt (#2 D _ _ .. E Scenario 10-5 Sixty-eight people from a random sample of l28 residents of Uppsala, Sweden, had blue eyes. 45 people from a random sample of I 10 people from Preston, England, had blue eyes. Let p, represent the proportion of people in Uppsala with blue eyes, and let p, represent the proportion of people in Preston with blue eyes. . Use Scenario 10-5. If researchers suspected that the distribution of eye color is different in these two countries before collecting the data, which of the following pairs of hypotheses would be appropriate to test? A. Hug);=pa',Hu:p](p2 B. H03P1=P23H3P1>P2 C. Ho : p, = 0.53. p, = 0.41; H, : pl :2 0.53, p, at 0.41 13- Ho3P1=P2iHa3P1P2 E. Ho : p1 =1\": = 0.47; HE : pl :p, a: 0.47 Scenario 10-2 Janice and her cousin Linda are a little competitive about the relative merits of their home towns. One contest they had was to determine who had more rainy days. They found weather records on the intemet and each of them randomly selected 60 days from the past 5 years. Janice found that there had been measurable rainfall on 17 of the 60 days she selected for Asheville, and Linda found that there had been measurable rainfall on 12 of the 60 days she selected for Lincoln. 'Ihey intend to perform a test of signicance on their data, using the hypotheses Ho : pAp, = 0 versus Ha : pAp, 0 and the 0.05 signicance level. . Use Scenario 10-2. Janice and Linda's test statistic is 1.07. Which of the following is closest to the appropriate P-value for the test? A. 0.2846 B. 0.1423 C. 0.0892 D. 0.0446 E. 0.1449 6. Use Scenario 10-2. When calculating the test statistic, what expression would they use to estimate the standard deviation of the sampling distribution of the difference In proportions, p' Pr? (o.23)(0.72)+ (0.2)(o.8) A' 60 60 12' 17' Era+36\" (0.24)(0.76) + (0.24) (0.75) 60 60 D. _12>_ 1'7 (o.2s)(o.72) (o.2)(o.3) E. liT+ T 7. Use Scenario 10-2 Which of the following best describes what it would mean if Janice and Linda's test resulted In a Type I error? Concluding that there Is no difference In the proportion of rainy days In the two cities when there Is a difference. Concluding that there Is a difference In the proportion of rainy days In the two cities A. B when there Is no difference. C. Choosing the wrong test procedure, such as using a z-test instead of a (-test D. Accepting the null hypothesis instead of rejecting the alternative hypothesis. E Accepting the alternative hypothesis instead of rejecting the null hypothesis. 8. The following are percents of fat found In 5 samples of each of two brands of Ice cream: Which of the following procedures is appropriate to test the hypothesis of equal average fat content in the two types of ice cream? A. Two-sample t test with 9 df. B. Two-proportion 2 test C. Two-sample t test with 4 df. D. Paired rtest with 5 df. E Paired rtest with 4 df. 9. A city planner is comparing trafc patterns at two different intersections. He randomly selects 12 times between 6 am and 10 pm, and he and his assistant count the number of cars passing through each intersection during the 10-minute interval that begins at that time. He plans to test the hypothesis that the mean difference in the number of cars passing through the two intersections during each of those 12 times intervals is 0. Which of the following is appropriate test of the city planner's hypothesis? A. Two proportion l-test B. Two'sample z-test C. Matched pairs t-test D. Two-sample ttest E. Two-proportion z-test IO. A researcher wants to see if birds that build larger nests lay larger eggs. She selects two random samples of nests: one of small nests and the other of large nests. She weighs one egg from each nest. The data are summarized below. um snow ) lr- Which of the following represents a 95% condence interval for the di'ercnce between the average mass of E'gSSillsmall and large 116513? 497+ 624 A 312 356+ ( ) r\" 2 a 3- (372-356): M 59+158 C (37 235 6)+2 009 4-97: +5242 - i i L 59 158 497 6.24 D + _+__ (31-2 -35 5)_ 59 158 2 r 13- (37-235.6)i-2.009 4-97 +524 60 159
