A certain Instructor believes that the grades of students is related to the number of progress checks they submitted to him. He would like to develop a linear regression equation to help him remind students to submit their activities on the allotted time.
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A certain Instructor believes that the grades of students is related to the number of progress checks they submitted to him. He would like to develop a linear regression equation to help him remind students to submit their activities on the allotted time.
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- Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.A pharmaceutical company wants to know whether an experimental drug has an effect on systolic blood pressure. Fifteen randomly selected subjects were given the drug and, after sufficient time for the drug to have an impact, their systolic blood pressures were recorded. The data appear below: 172140123130115 148108129137161 123152133128142172140123130115 148108129137161 123152133128142 Calculate the values of y¯¯¯y¯ and s for the 15 blood pressure readings.A student majoring in Management who has passed the Business Statistics course suspects that the average price of lunch at the canteen has increased during the pandemic. Before the pandemic, the price for lunch he paid was $21, $22, $22.50, $23, $23.50. After the pandemic, he paid $25, $25.50, $30, $27, and $26.50. a) Perform a hypothesis test analysis to find out whether there has been an average increase in the price of lunch (Use six Hypothesis Testing Steps) ! b) Interpret (and explain) the results of point a above!
- Nationally, the proportion of red cars on the road is 0.12. A statistically-minded fan of the Philadelphia Phillies (whose team color is red) wonders if fans who park at Citizens Bank Park (the Phillies home field) are more likely to drive red cars. One day during a home game, he takes an SRS of 210 cars parked in the lot while a game is being played, and counts 35 red cars. (There are 21,000 parking spaces.) Is this convincing evidence that Phillies fans prefer red cars more than the general population? Provide statistical evidence to support your conclusion. Use the 4-step process.In a study of high school students at least 16 years of age, researches obtained data summarized in the table below. Test the claim that texting while driving is independent of drinking alchohol and driving. Assume a significance level of 0.05. Drove when Drinking Did not drive when Drinking Totals Texting while Driving 731 3054 3785 No Texting and Driving 156 4564 4720 Totals 887 7618 8505 c) What is the Alternative Hypothesis? d) Which type of test will be used? e) What critical values are there?A clinical psychologist is interested in comparing the effectiveness of short term relaxation and cognitive-behavioral therapy in treating mild depression. An experiment is conducted in which 15 patients with mild depression are randomly selected and assigned 5 each to a relaxation therapy group, a cognitive/behavioral therapy group, and an attention placebo group. Therapy is administered until the patient is judged no longer depressed or until 10 treatment sessions have elapsed. The following data is obtained. Scores are the number of sessions for each patient. Cognitive/Behavioral Therapy Relaxation Therapy Attention-PlaceboGroup 56647 68 797 5 8 9 7 6 Using a = 0.05, Fcrit = _________.
- The contingency table shows a random sample of urban, suburban, and rural libraries and the speed of their Internet access. In the table, mbps represents megabits per second. At α = 0.01 can you conclude that the metropolitan status of libraries and Internet access speed are related? Metropolitan status Access speed Urban Suburban Rural 1.4 mbps or less 5 20 58 1.5 mbps – 3.0 mbps 24 46 65 Greater than 3.0 mbps 37 59 64 What is the Chi-square test statistics and the decision for this question. The Test statistics is . Leave your answer in 3 decimal places. DECISION: We the null hypothesis.At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 318 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 266 had no visible scars after treatment. Another random sample of n2 = 418 patients with minor burns received no plasma compress treatment. For this group, it was found that 105 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p1 − p2.At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 334 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 266 had no visible scars after treatment. Another random sample of n2 = 418 patients with minor burns received no plasma compress treatment. For this group, it was found that 105 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limit upper limit
- An athletic trainer wants to see if a new treatment procedure for ankle sprains results in less ankle swelling than standard treatment 24 hours following the injury. Over several months, 30 athletes with ankle sprains are randomly assigned to receive either the standard care or new treatment procedure. Ankle swelling is measured using water displacement in both groups. Which t-test should be used to determine if one procedure resulted in more or less swelling than the other?Researchers at an epidemiology clinic are interested in the difference in the incidence of a number of severe adverse events that occur during a clinical trial between the control and treatment groups. Suppose the following table illustrates the incidences for the most common SAE reported in the population, severe nausea, reported over the course of the 10 year intervention. Total Participants Reporting Severe Nausea Total Participants Control 267 1789 Treatment 485 1024 A) Calculate the risk difference between the groups. B) Conduct a formal test to determine if there is a significant difference in the reports of severe nausea between the two groups. That is, What is your Z stat, p value, and interpret your results. Use an alpha level of 0.05.A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. bettersameworseRepublican3810444Democrat1287137none2190118 Express your answers as a decimal and round to four decimal places.If we randomly select one of the adults who participated in this study, compute: a. P(Democrat) = b. P(worse) = c. P(worse|Democrat) = d. P(Democrat|worse) = 3. P(Democrat and worse) =