Determine the difference between the sample mean mileage of the cars that are driven without a bo with a booster.
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A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster.
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- In elderly Americans, a new blood test is being developed to diagnose a particular disease. Suppose the sensitivity of this test is 80% and specificity is 70%. If it is known that 25% of them have the particular disease, then calculate the negative predictive value.A researcher was interested in how much longer the heart rate recovery time is for untrained college students compared to athletically trained college students. Eleven athletically untrained college students and nine athletically trained college students were put on a treadmill for fifteen minutes and then tested to see how many minutes it took for their heart rates to return to normal. The results of the study are shown below. Untrained: 8, 7, 7.2, 6.9, 7.8, 8.8, 8, 8, 8.8, 7.3, 8.6 Trained: 1.5, 1.5, 1.8, 2, 1.9, 2.3, 2.3, 2.4, 2.2 Assume both follow a Normal distribution. Compute the 95% confidence interval for the difference. Round to one decimal place. ( ___________ , _____________ )A psychologist is interested investigating the proportion of depressed teenagers in a particular city. Using a sample of 40 teenagers, 16 were found to exhibit symptoms of depression. At ?=0.01,test the claim that more that 35% of teenagers who live in the city exhibit symptoms of depression.
- Two rival manufacturers of penlight batteries claimed that their product lasts longer than the other. Thirty samples of Brand A and thirty-four of Brand B were tested. The following are the lengths of lives of such batteries recorded in hours. Use . Brand A384142363941433536384239404344 354039374042443837414038424541 Brand B3840414339414043393840434439404142 3940454038424140363741424036384140 A teacher wants to find out if there is a significant difference in the academic performance of two groups of students. One group meets thrice a week while the other meets twice a week. Below are the final exam scores of the two groups. Use . 3x/wk8085747565668077759566557985 2x/wk669887848556592553456652A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________In an SPSS analysis between Race and Prestige, which one would be the IV and which one would be the DV?
- Consider the following studies. Study I: A researcher randomly divided 200 high school students into two groups. The first group was told to not exercise. The second group was told to exercise at least 5 hours each week. At the end of two months, the heart rates of each participant in each group were measured at rest. It was found that the group that exercised 5 hours a week had a significantly lower average heart rate. Study II: A researcher gathered 200 high school students randomly, asked them how long they exercised each week, and then measured their heart rates at rest. It was found that students who exercised at least 5 hours a week had a significantly lower average heart rate. Part A: Which study was experimental? Why? Study IStudy II Part B: List the explanatory and response variables in the studies. Explanatory: heart rate; Response: exercise timeExplanatory: student; Response: amount of exerciseExplanatory: exercise time; Response: heart rate Part C: State whether the…The mango is considered the "king of fruits" in many parts of the world. Mangoes are generally harvested at the mature green stage and ripen up during the marketing process of transport, storage, and so on. During this process, about 30% of the fruit is wasted. Because of this, the impact of harvest stage and storage conditions on the postharvest quality are of interest. In this experiment, the fruit was harvested at 80, 95, or 110 days after the fruit setting (the transition from flower to fruit) and then stored at temperatures of 20∘C, 30∘C, or 40∘C. For each harvest time and storage temperature, a random sample of mangoes was selected, and the time to ripening was measured. What are the factors, the treatments, and the response variables? Take each item from the answer bank and place into the appropriate category.Peter Boag, studied the inheritance of beak depth in Galapagos finches by looking at the relationship between parent beak depth (in mm) and that of their offspring. He collected two sets of parent offspring data, once in 1976 and again in 1978. For both years he followed birds to determine which pairs belonged to which nests. Most of the parents had been previously captured so their beak depths were known. He then captured the offspring when they fledged and measured their beak depth. He calculated the "midparent" beak depth (the average beak depth of the two parents) and then compared that to beak depth of their offspring. Use regression analysis to estimate heritability for the trait beak depth from the Galapagos finches data in the above table.
- Find A= %b= %c= %d= %Some commercial airplanes recirculate approximately 50% of the cabin air in order to increase fuel efficiency. The researchers studied 1100 airline passengers, among which some traveled on airplanes that recirculated air and others traveled on planes that did not recirculate air. Of the 515 passengers who flew on planes that did not recirculate air, 108 reported post-flight respiratory symptoms, while 112 of the 585 passengers on planes that did recirculate air reported such symptoms. Is there sufficient evidence to conclude that the proportion of passengers with post-flight respiratory symptoms differs for planes that do and do not recirculate air? Test the appropriate hypotheses using ? = 0.05. You may assume that it is reasonable to regard these two samples as being independently selected and as representative of the two populations of interest. (Use a statistical computer package to calculate the P-value. Use pdo not recirculate − pdo recirculate. Round your test statistic to two…A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased. In the local area there are three main retailers: W-Mart, Tag, and URToy. For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. 1. What kind of statistical test should be used to test the consumer group's research goal, assuming that the researcher wanted to use the 1-to-10 scale as a numerical interval measure? A. Repeated-measures t-test B. One-way Independent Measures ANOVA C. Repeated-measures ANOVA D. Independent-measures t-test 2. State the hypothesis that aims to test the consumer group’s research goal (i.e., what is H0 and HA).