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- Recent results suggest that children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this relationship, a researcher obtains a random sample of n = 36 children, 8 to 12 years old, who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time each day is spent watching TV. The average daily time for the sample is M = 4.9 hours. It is known that the average time for the general population of 8 to 12-year-old children is μ = 4.1 hours with σ = 1.8. Are the data sufficient to conclude that children with ADHD watch significantly more TV than children without the disorder? Use a two-tailed test with = .05. Which of the below options is the best answer? Answer A or B in the box Option A. The children with ADHD are significantly different.Option B. The children with ADHD are notsignificantly different. If the researcher had used a sample of n = 9 children and obtained the same sample mean, would the results…The appearance of leaf pigment glands in the seedling stage of cotton plants is genetically controlled. According to one theory of the control mechanism, the population ratio of glandular to glandless plants resulting from a certain cross should be 11.5, according to another it should be 13:3. In one experiment, the cross produced 89 glandular and 36 glandless plants. Use goodness-of-fit tests (at alpha= 0.10) to determine whether the data is consistent with a) the 11:5 theory, ar b) the 13:3 theory.The pH of rain, measured at a weather station in Michigan, was observed for 39 consecutive rain storms. The sample mean is 4.6982 and the sample variance is 0.39623. Test the research hypothesis that the mean pH is less than 5.00, with α = 0.01.
- Aircraft primer paints are applied to aluminum surfaces to improve paint adhesion. Theprocess engineering group responsible for this operation is interested in learning whetherthree different primers differ in their adhesion properties. An experiment was designed andconducted to investigate the effect of paint primer type on paint adhesion. For each primertype, six specimens were painted, then a finish paint was applied, and the adhesion force wasmeasured. The data from the experiment are shown in the following table.Adhesion force (MPa)Primer Type X 4.5 4.5 4 5 5.5 5Y 5.5 5.5 6 6.5 7 7Z 3.5 4 3 4 5 4.5a) What type of experiment is this? What type of analysis id needed for the investigation?Break down the details and parameters of this experiment design. You must list theparameters that were considered in the design and also mention the quantity of each.b) Does primer type make a significant impact on adhesion, at 5% significance level?Two researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 226 observations in the category of interest, and p= 6=226/400=0.565. Researcher B gets 225 in the category of interest, and p = 225/400=0.5625. Complete parts (a) through (d) below. a. Find the z-scores and P-values for both researchers. Researcher A Z = Researcher B Z = P-value = P-value = (Round the z-scores to two decimal places as needed. Round the P-values to three decimal places as needed.) The result in case A is The result in case B is b. Using α = 0.01, indicate in each case whether the result is "statistically significant." Interpret. What does the statistical significance of the results above imply? OA. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically…A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance ² = 42.3. In a different section of Chaco Canyon, a random sample of 25 transects gave a sample variance s² = 49.7 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: 0² = 42.3; H₁:0² 42.3; H₁: 0² = 42.3 O Ho: 0² = 42.3; H₁: 0² > 42.3 O Ho: 0² = 42.3; H₁: 0² #42.3 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? O We assume a uniform population…
- A group of sevèn week-old chickens reared on a high protein diet weigh 12, 15, 11, 16, 14, 14 and 16 ounces, a second group of five chickens similarly treated except that they receive a low protein diet weighted 8, 10, 14, 10 and 13 ounces. Test whether there is sufficient evidence that additional protein has increased the weight of the chickens. (The table value of t for v = 10 at 5% level of significance is 2-33.)Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x97.97, y 98.85, r=0.865, P.value =0.000, and y= 10.04 +0.91x, where x represents the IQ score of the husband. Find the best predicted value of y given that the husband has an IQ of 1087 Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coetficientr. The best predicted value of y is (Round to two decimal places as needed.)Two researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 225 observations in the category of interest, and p=225/400 =0.5625. Researcher B gets 227 in the category of interest, and p=227/400 = 0.5675. Complete parts (a) through (e) below. A ... OB. Hypothesis tests that produce similar P-values always have the same conclusion. OC. Hypothesis tests that result in the same conclusion do not necessarily have the same P-value. D. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically significant." d. From part a, part b, and part c, explain why important information is lost by reporting the result of a test as "P-value ≤0.05" versus "P-value > 0.05," or as "reject Ho" versus "Do not reject Ho," instead of reporting the actual P-value.…
- According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 113 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.05 level of significance? Because npo (1 - Po) = 25.4 > 10, the sample size is sample is given to be random, satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? less than 5% of the population size, and the the requirements for testing the hypothesis are Ho: P = 0.34 versus H₁: p > 0.34 (Type integers or decimals. Do not round.) Find the test statistic, Zo Zo = (Round to two decimal places as needed.)According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.32. Suppose a random sample of 108 traffic fatalities in a certain region results in 45 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a = 0.05 level of significance? Because npo (1- Po) 10, the sample size is 5% of the population size, and the sample | the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.)In a survey of 460 drivers from the South, 397 wear a seat belt. In a survey of 340 drivers from the Northeast, 281 wear a seat belt. At alpha equals 0.06 , can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).