Determine the upper-tail critical value t/2 in each of the following circumstances. a. 1-a = 0.90, n= 31 d. 1-a = 0.90, n = 49 e. 1-a = 0.99, n= 8 b. 1-a = 0.95, n = 31 c. 1-a = 0.90, n= 20
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Determine the upper-tail critical value ta/2 in each of the following circumstances.
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- According to the U.S. Census Bureau, 69% of children under the age of 18 years in the United States lived with two parents in 2009. Suppose that in a recent sample of 2000 children, 1249 were living with two parents. a. Using the critical value approach and a = 0.05, test whether the current percentage of all children under the age of 18 years in the United States who live with two parents is different from 69%. Round your answer for z to two decimal places. Zobserved = i Zcritical left = i Zcritical right i We the null hypothesis. We conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is 69%. b. How do you explain the TypeI error in part a? What is the probability of making this error in part a? The Type I error occurs when we conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is 69%, when it is 69%. P(Type I error) = c. Calculate the…As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle-the farthest a subject is able to lean and still recover in one step-was determined for both a sample of younger females (21-29 years) and a sample of older females (67-81 years). The following observations are consistent with summary data given in the article: YF: 28, 35, 33, 27, 28, 32, 31, 35, 32, 25 OF: 17, 15, 21, 13, 12Given the following ANOVA output, calculate η2 SS df MS F-ratio p-value Between 58 2 1.66 F=1.568 p=0.223 Within 37 35 1.06 TOTAL 95 37 η2=SSbetween/SStotal=
- For the following claim, find the critical value. Assume that a simple random sample has been selected from a normally distributed population. Claim: The mean IQ score of statistics professors is greater than 130 Sample data: n= 28, x= 123, s=6. The significance level is a = 0.01.Consider the scenario ai from the previous question. Suppose you take an SRS of 50 avocados and find that the mean is 1.1 inches, which yields a p-value of 0.0542. What conclusion would you draw at the =0.05 level? At the =0.10level?Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 188 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.62 cm, y = 81.37 kg, r 0.113, P-value = 0.263, and y = - 105+1.01x. Find the best predicted value of y (weight) given an adult male who is 142 cm tall. Use a 0.05 significance level. %3D The best predicted value of y for an adult male who is 142 cm tall is kg. (Round to two decimal places as needed.)
- The management of the local zoo wants to know if all of their animal exhibits are equally popular, If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At a = 0.10, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds Reptiles Number of 128 161 162 128 165 163 132 visitors Copy Data Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each animal exhibit. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary. Ho P = H Some exhibits are less popular than others. The management of the local z00 wants to know if all of their animal…Given: Last year, 10 percent of all teenagers purchased a new iPhone. This year, a sample of 260 randomly chosen teenagers showed that 39 had purchased a new iPhone. Last year, 10 percent of all teenagers purchased a new iPhone. This year, a sample of 260 randomly chosen teenagers showed that 39 had purchased a new iPhone. To test whether the percentage has risen, the critical value at á = .05 is __________. a. 1.960 b. 1.645 c. 1.658 d. 1.697Consider the demand for Fresh Detergent in a future sales period when Enterprise Industries' price for Fresh will be x1 = 3.70, the average price of competitors' similar detergents will be x2 = 3.90, and Enterprise Industries' advertising expenditure for Fresh will be x3 = 6.50. A 95 percent prediction interval for this demand is given on the following JMP output: %3D Predicted Lower 95% Upper 95% Mean Demand Upper 95% Indiv Demand StdErr Lower 95% Demand Mean Demand Indiv Demand Indiv Demand 31 8.4106503477 8.3143172822 8.5069834132 0.2393033103 7.9187553487 8.9025453468 E Click here for the Excel Data File; (a) Find and report the 95 percent prediction interval on the output. If Enterprise Industries plans to have in inventory the number of bottles implied by the upper limit of this interval, it can be very confident that it will have enough bottles to meet demand for Fresh in the future sales period. How many bottles is this? If we multiply the number of bottles implied by the lower…