A)A lecturer claims that their course is not too easy and that on average, students score 60%. We want to verify this claim by performing a single tailed test with the null hypothesis μ=60% vs the hypothesis μ>60%. For this, we take a random sample of 50 students. Decide on the appropriate test statistic and compute the corresponding (positive) bound of the critical region for a single tailed test at the 98% level. B)Consider again the example of the lecturer from above. We obtained a sample of 50 students with a mean of μ=61.3% and a sample standard deviation of 18.3% (percentage points, not percentages of μ!) What is the p-value (060%? Give your answer to 3 decimal places.

A)A lecturer claims that their course is not too easy and that on average, students score 60%. We want to verify this claim by performing a single tailed test with the null hypothesis μ=60% vs the hypothesis μ>60%. For this, we take a random sample of 50 students. Decide on the appropriate test statistic and compute the corresponding (positive) bound of the critical region for a single tailed test at the 98% level. B)Consider again the example of the lecturer from above. We obtained a sample of 50 students with a mean of μ=61.3% and a sample standard deviation of 18.3% (percentage points, not percentages of μ!) What is the p-value (060%? Give your answer to 3 decimal places.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

See similar textbooks

Similar questions

What is meant by the sample space of an experiment?
What is an experiment?
Suppose we have samples of five men and of five women and have conducted a randomization test to compare the sexes on the variable . Further, suppose we have found that in 120 out of the 252 possible outcomes under randomization the difference in means is at least as large as the difference in the two observed sample means. Does the randomization test provide evidence that the sexes differ with regard to pulse? Justify your answer using the randomization results.
A random sample of 15 families representing three social classes has been observed for the frequency with which the parents administer physical punishment to the children over a period of a week. Are the differences significant? Use α = .05 and the five-step model to conduct your hypothesis test. Write a sentence or two interpreting your results. Working Class: 10,9,4,2,1 Middle Class: 11,10,5,2,0 Upper Class: 7,5,2,0,0
An article in the newspaper claims that 60% of registered drivers have the organ donor designation on their driver's license. A researcher at a hospital decides to investigate this claim. The researcher selects a random sample of 50 registered drivers and finds that 44.0% have the organ donor designation on their driver's license. Do the data provide convincing evidence at the ?α = 0.05 level that fewer than 60% of registered drivers have the organ donor designation on their license?
A researcher studied iron-deficiency anemia in women in each of two developing countries. Differences in the dietary habits between the two countries led the researcher to believe that anemia is less prevalent among women in the first country than among women in the second country. A random sample of 1800 women from the first country yielded 286 women with anemia, and an independently chosen, random sample of 2000 women from the second country yielded 380 women with anemia. Based on the study can we conclude, at the 0.05 level of significance, that the proportion p, of women with anemia in the first country is less than the proportion p, of women with anemia in the second country? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b)…
Mr. Guo and Mr. Lange are interested in studying TV failure rates across different brands. They select 12046 TVs each from two different brands and record the number that fail to last 10 years. Brand 1 is found to have 7482 such failures, while Brand 2 is found to have 6993 failures. Mr. Guo and Mr. Lange wish to know if there is enough evidence to conclude that the failure rates are statistically different. (a) State the competing theories of this test. (b) Are the requirements for the 2-Sample Z Test for Equal Propor- tions met? If not, explain why. (c) Compute the Z statistic. Round your answer to three decimal places. (d) Compute α0 as discussed in class. What conclusion can you draw?
Body Mass Index is a measure of body shape. Duran et al. (2013) investigated BMI in Texas youth. In part of the study, they took BMI measurements on samples of 14 year old boys and girls in Texas (94 boys and 98 girls). Suppose they were interested in investigating a possible difference in body mass index between boys and girls at that age. Assume for the purposes of this question that the samples can be thought of as independent simple random samples from 14 year old Texans, and that all other assumptions of the Welch t procedure are met. Welch Two Sample t-test data: BMI by gender = 0.1038 t = -1.6348, df = 189.5, p-value alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -2.9517451 0.2764086 sample estimates: mean in group Boy mean in group Girl 23.30213 24.63980 Give an appropriate interpretation of the confidence interval found in the output. Your interpretation must relate to the problem at hand.
The news release referenced in the previous exercise also included data fromindependent samples of teenage drivers and parents of teenage drivers. In response to aquestion asking if they approved of laws banning the use of cell phones and texting whiledriving, 74% of the teens surveyed and 95% of the parents surveyed said they approved.The sample sizes were not given in the news release, but suppose that 600 teens and 400 parents of teens were surveyed and that these samples are representative of the twopopulations. Do the data provide convincing evidence that the proportion of teens whoapprove of banning cell phone and texting while driving is less than the proportion ofparents of teens who approve?
A researcher wants to compare the effectiveness of two treatments on a sample of 25 patients. What is the null hypothesis for the Wilcoxon Signed-Ranks Test?
Suppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% andy1 =60, y2 =120, y3 =80. Findthelineofbestfity=α+βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%
A researcher randomly sampled 30 graduates of an MBA program and recorded data about their starting salaries. Of primary interest to the researcher is whether starting salaries differ based on gender. The researcher performs a pooled-variance t-test of the mean salaries of the females (Population 1) andmales (Population 2) in the sample. Assume α = 0.10. What assumptions are necessary to conduct this hypothesis test? The samples were randomly and independently selected. Both populations of salaries (male and female) must have approximate normal distributions. The population variances are approximately equal.