A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 58 sample problems. The new algorithm completes the sample problems with a mean time of 16.44 hours. The current algorithm completes the sample problems with a mean time of 17.43 hours. Assume the population standard deviation for the new algorithm is 4.276 hours, while the current algorithm has a population standard deviation of 3.754 hours. Conduct a hypothesis test at the 0.1 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let u be the true mean completion time for the new algorithm and u2 be the true mean completion time for the current algorithm. Step 3 of 5: Find the p-value associated with the test statistic. Round your answer to four decimal places.

Suppose that 67% of voters in a state oppose concealed carry handguns. Repeated random samples of 400 voters were collected. Use the Empirical Rule to find the interval in which the sample proportion of opponents should fall 95% of the time. Select one: A. (64.6%,69.4%)(64.6%,69.4%) B. (63.8%,70.2%)(63.8%,70.2%) C. (60.7%,73.3%)(60.7%,73.3%) D. (61.5%,72.5%)(61.5%,72.5%) E. None of the above

A city has 4 voting districts. Records from previous years show what proportion of residents live in each district. A political analyst wondered if those proportions still held true, so they took a random sample of 120 residents. Here are their results along with a chi-square goodness-of-fit test: District A B D Hypothesized 0.39 0.27 0.15 0.19 Observed 58 22 12 28 Expected 46.80 32.40 18.00 22.80 Components 2.68 3.34 2.00 1.19 X = 9.20, DF = 3 P-value = 0.027 Which voting district contributed the most to the test statistic? Choose 1 answer: District A B District B District C District D

A researchers is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin: n=6, M=14, T=84, SS=60 Valerian: n=10, M=13, T=130, SS=90 Placebo: n=4, M=9, T=36, SS=37 N=20, G=250,  x2=3377   Calculate the F-ratio

A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor asks her patients if they would like to take part in a study for a new medication, and 30 patients currently taking medication for cholesterol volunteer to participate. Which of the following would be an appropriate procedure for this experiment? The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients. The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients. The doctor needs to let the 30 patients choose which medication they are going to take through use of a survey to determine whether they want to participate in the experiment. The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if…

If there are 65 successes of 150 trials in the one group, and 115 successes of 200 in another, test if the groups significantly different? Use ? = 0.05.