In an unpaired two-sample problem, an experimenter observes n = 38, ī = 5.782 from population A and m = 40, ỹ = 6.443 from population B. Suppose that the experimenter wishes to use values ga = gs = 2.0 for the population standard deviations. What is the p-value for the hypothesis testing problem Ho :HA HB versus HA :HA
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A: Sample size(n)=10
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Q: Question 86 parts A, B, and C
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A: The correct alternative is, we will never know whether (28.255, 33.945) covers the true mean.
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A: Given: n1=200, n2=200 and sp2=25
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A: We have given that Sample size n=500 Sample proportion p^=27%=0.27
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Q: Question 84 parts C and D
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Q: question 84 parts A and B
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- QUESTION 4 A report shows that the average cost of tuition and fees at a four-year university is $5,820. A researcher believes the average cost is actually higher than $5,820. She selects a random sample of 46 universities and finds the mean to be $6,100, with standard deviation of $759. a) Formulate the null and alternative hypotheses. b) Is there enough evidence to support the researcher's claim at the 5% level of significanceQuestion 5: give the hypotheses.Question 8: After calculating a 98% confidence interval for the difference in populations means of the weights of men and women in a certain country, the result was [4, 14]. What was the difference in sample means for these two groups? Answer:
- Do question 7,8 and 9 only The new study also carried out a test to determine whether the population proportion of unvaccinated school children contracting winter flu was higher than the population proportion of vaccinated school children. The Z test statistic to test this belief is found to be 1.874. The corresponding p-value is 0.0305 0.1212 0.3036 0.7724 Question 7 Suppose that the new study uses a level of significance of 0.05 to test the claim in Question 6. The probability of Type I error is 0.025 0.05 0.95 0.975 Question 8 Based on previous studies of school children who were vaccinated and contracted the flu, the time in hours that the flu symptoms last is assumed to follow a normal distribution with a mean of 20.7 hours and a standard deviation of 7.3 hours. The probability that a randomly selected school child has flu symptoms for more than 24 hours is 0.1628 0.3256 0.6744 0.8372 Question 9 Suppose that a random sample of 5 vaccinated school children is taken. Assuming the…a. What are the null and alternative hypotheses? b. The test statistic, t, is c. The P-value is d. State the conclusion for the test. e. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.Question 3 A fruit farmer has a large number of almond trees, all of the same variety and the same age. One year he wishes to estimate the mean yield of his trees. He collects all the almonds from 8 trees and records the following weights (kg); 36 53 78 67 92 77 59 66 a) Use these data to estimate the mean and standard deviation of the yields of all the farmer's trees. b) Construct a 95% confidence interval for the mean yield. c) What statistical assumption is required for your procedure to be valid? d) How might you select a sample of eight trees from those growing in a large field. Criteria [2.1, 2.2, 2.3]
- Wk Qu. 13-11 A simulation returns... A simulation returns the following statistics: Mean 100 Standard Deviation: 5 Mode: 96 Minimum:75 Maximum: 135 Standard Error: 8. What is the most likely value? Most likely value A 68% confidence interval for the true mean would start at a value of 92 and end at a value of 108. A 68% confidence interval for the true mean would start at a value of and end at a value 108a. if the null hypothesis is true (avg. anxiety level score of children in the sample is the same as the avg. nationwide score; mu = 100), what can you say about the distribution of x-bar among simple random samples of 46 children? b. calculate the p-value on this distribution. given the p-value, what conclusions can you draw?which of the following sample data: sample size= 100 sample mean= 340z/hr sample variance= 90z/ hr construct a 98% confidence interval for μ. the population mean is what?
- Question 6.130 What is the p-value? Would you accept or reject the null at the 12% level?Question 8 A factory makes bath bombs. According to the factory, the weight of a bath bomb has a mean of 4.20 oz and standard deviation of 0.5 oz. To verify whether the bath bomb indeed has a mean weight of 4.20 oz, we sampled 144 bath bombs and found a sample mean of 4.15 oz. Please compute the p-value for the hypothesis test that verifies whether the mean weight of the soap equals 4.20 oz or not: Please round your result to 2 decimal places. Answer (Correctly):____________________-Consider the hypothesis test below. Ho : P1 – P2 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 100 n2 = 300 P1 = 0.27 P2 = 0.15 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = 0.05, what is your hypothesis testing conclusion? Select your answer -