0,9671 5. In their advertisements, a new diet program would like to claim that their program results in a mean weight loss of more than 10 pounds in two weeks. To determine if this is a valid claim, the makers of the diet should test the null hypothesis HO:μ = 10 against the alternative hypothesis: (A) H1: μ<10 (B) H1: μ> 10 (C) H1:μ = 10 (D) H1:μ#0 (E) None of the above 325
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- In 1992 a national vital statistics report indicated that about 2.3% of all births produced twins. Is the rate of twin births th same among very young mothers? Data from a large city hospital found only 7 sets of twins were born to 455 teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed. MA: P >0.023 B. Ho: p=0.023 HA: P = 0.023 OC. Ho: p=0.023 HA: P<0.023 OD. The assumptions and conditions are not met, so the test cannot proceed. Determine the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. z = -1.08 (Round to two decimal places as needed.) B. The assumptions and conditions are not met, so the test cannot proceed. Find the P-value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. P-value = (Round to three decimal places as needed.) B. The assumptions and…A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.8 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between −t0.98 and t0.98, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.6 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find −t0.98 and t0.98. −t0.98 = t0.98= Find the t-valueWhat is the appropriate conclusion for this test? (Do not reject OR reject) H₀ and conclude that there (is or is not) sufficient evidence that mice with an average life span of 32 months will live to be (less or greater) than 42 months old when 40% of the calories in their diet are replaced by vitamins and protein.
- A company claims that the number of defective items manufactured during each run of making 100 of their products is independent of the number from other runs and that the proportion of defectives is not more than 3%. Assuming that the defective rate for each run is 3% Which of the following can be used to determine whether x = 8 is unusually a high number of defective items on the next run of 100 of their products?Is there a difference between men and women when it comes to seeking preventative healthcare? At the a = 0.01 level of significance, test the claim that the proportion of those who have had a wellness visit with their physician in the past year is the same for men and women. Let pp represent the proportion of females who have had a wellness visit with their physician in the past year and pM represent the proportion of males who have done the same. Which would be correct hypotheses for this test? O Ho:PF = PM, H1:PF > PM O Ho:PF + PM, H1:PF > PM O Ho:PF = pM, H1:pF < pM O Ho:PF = PM, H1:PF # PM In a random sample of 331 females, 306 have had a wellness visit with their physician in the past year. In a random sample of 272 males, 237 have had a wellness visit with their physician in the past year. Find the test statistic (2 decimal places): Give the P-value (4 decimal places - if less than 0.001 answer 0): Which is the correct result: O Reject the Null Hypothesis O Do not Reject the Null…7.16 Using an app or the Web on a smartphone. The Nielsen Company reports that U.S. residents aged 18 to 34 years spend an average of 2.83 hours per day using an app or the Web on a smartphones You wonder if this it true for students at your large university because you rarely see students not using their smartphones. You collect an SRS of n = 75 students and obtain 2 = 3.17 hours with s =1.36 hours. (a) Report the 95% confidence interval for u, the average number of hours per month that students at your university use the Internet on a computer. (b) Use this interval to test whether the average time for students at your university is different from the average, reported by Nielsen. Use the 5% significance level. Summarize your results.
- A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.8 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between −t0.95 and t0.95, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.3 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls?The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.35 days. Is this average different for blind dates? A researcher interviewed 70 couples who had recently been on blind dates and found that they averaged 2.5 days to communicate with each other after the date was over. Their standard devlation was 0.655 days. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H: ?vSelect an answerv c. The test statistic ?v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 2.35 at a = 0.10, so there is statistically…1.A researcher conducts an independent-measures study comparing two treatments and reports the t statistic as t(30) = 2.085. a.How many individuals participated in the entire study? b.Using a two-tailed test with α = .05, is there a significant difference between the two treatments? Explain.
- Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. Net weights actually vary slightly from bag to bag and are Normally distributed with mean u. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised, so he intends to test the hypotheses Ho: μ = 14, Ha: μ < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. He finds the sample mean to be x = 13.88 and the sample standard deviation to be s = 0.24. Suppose in a similar test of 16 bags of these tortilla chips the P-value is 0.001. Further suppose that a is chosen to be 0.001. In that case, we would conclude that: Othere is not significant evidence that the mean net weight of the bags of chips is less than the advertised 14 oz. O there is not significant evidence that the mean net weight of the bags of chips is not less than the advertised 14 oz. O there is significant evidence that the…What is the answer of the 7.14 question?You believe that your morning commute to UCLA is decreasing every week. You record thetime of 7 commutes (one for each day of the week) (in minutes) for the a one-week block and thenthe following one-week block. * Calculations have been done for you: the sample mean difference is -1.714 and the sample standarddeviation is 2.984. Conduct a hypothesis test at the α = 0.15 level. The mean difference calculated as the the first one-week block minus the second one-week block. That is to say week one minus week two. a. Set up the null and alternative hypothesis (using mathematical notation/numbers and interpretthem in context of the problem) b. Calculate the test statistic for the test from part a