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davenport stat500 week 5 quiz ch 8 and 9

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Question;?;Express the null hypothesis and alternative hypothesis in symbolic;form.;The manufacturer of a refrigerator system for beer kegs produces;refrigerators that are supposed to maintain a true mean temperature,?, of;48?F, ideal for a certain type of German pilsner. The owner of the brewery;does not agree with the refrigerator manufacturer, and claims he can prove;that the true mean temperature is incorrect.;?;Question 2;5 out of 5 points;Assume that the data have a normal distribution;and the number of observations is greater than 50. Find the critical z value;used to test null hypothesis.;? = 0.05 for a two-tailed test;?;Question 3;5 out of 5 points;Formulate the indicated conclusion in;nontechincal terms. Be sure to address the original claim.;A researcher claims that the amounts of acetaminophen in a certain brand of;cold tablets have a standard deviation different from the? = 2.5mg claimed;by the manufacturer. Assuming that a hypothesis test of the claim has been;conducted and that the conclusion is failure to reject the null hypothesis;what should the researcher conclude?;?;Question 4;5 out of 5 points;Assume that a hypothesis test of the given claim;will be conducted. Identify the type I or type II error for the test.;A medical researcher claims that 20% of children suffer from a certain;disorder. Identify the type I error for the test.;?;Question 5;9 out of 10 points;Identify the null hypothesis and alternative;hypothesis in symbols, test statistic, p-value, conclusion about the null;hypothesis, and final conclusion that addresses the original claim.;Various temperature measurements are recorded at different times for a;particular city. The mean of 20 degrees C is obtained for 40 temperatures on;40 different days. Assuming that? = 1.5 degrees C, test the claim that the;population mean is 22 degrees C. Use a.05 level of significance.;?;Question 6;5 out of 5 points;In the context of a hypothesis test for two;proportions, which of the following statements about the pooled sample;proportion, p, is/are true?;I. It estimates the common value of p1 and p2 under;the assumption of equal proportions.;II. It is obtained by averaging the two sample proportions p1 and p2.;III. It is equal to the proportion of successes in both samples combined.;?;Question 7;5 out of 5 points;Assume that you plan to use a significance level;of? =0.05 to test the claim that p1 = p2. use the;given sample sizes and numbers of successes to find the z test statistic for;the hypothesis test.;In a vote on the Clean Water bill, 44% of the 205 Democrats voted for the;bill while 46% of the 230 Republicans voted for it.;?;Question 8;5 out of 5 points;Determine whether the samples are independent or;dependent. Select the appropriate definition.;The effectiveness of a new headache medicine is tested by measuring the;amount of time before the headache is cured for patients who use the medicine;and another group of patients who use a placebo drug.;?;Question 9;5 out of 5 points;State what the given confidence interval suggests;about the two population means.;A researcher was interested in comparing the time spent watching television;by women and by men. Independent simple random samples of 14 women and 17 men;were selected, and each person was asked how many hours he or she had watched;television during the previous week. The summary statistics are as follows;Women;Men;Mean;x1 = 12.9 hrs;Mean;x2 = 14 hrs;s1 = 3.9 hrs;s2 = 5.2 hrs;The following 99% confidence interval was obtained for?1-?2, the;difference between the mean amount of time spent watching television for;women and the mean amount of time spent watching television for men: -5.61;hrs

 

Paper#62355 | Written in 18-Jul-2015

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