A poultry raiser harvests an average of 300 eggs per day. He has recently experimented with different types of poultry feeds. As a result, he noticed some fluctuations in the number of eggs laid by the chickens, which is neither clearly higher nor lower than previous weeks. He decides to find out if there might be a
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- #31). Both pictures are the same problem.You want to see if the rat population is changing in New York City. You know the population count may change with the season and time of day. Your plan is to compare one date in one year to the same date another year, doing a count in subway stations for one hour at the same time each day for two weeks to average out weather effects. You don't have time to wait multiple years so have to come to a conclusion based on two years. The counts are as follows: Year 1: 8, 2, 58, 14, 2, 15, 38, 4, 18, 13, 31, 32, 7, 1 Year 2: 7, 65, 17, 20, 66, 33, 18, 5, 33, 33, 3, 80, 59, 11 Are these two populations different at the 95% confidence level? If you repeated a day of counting on year 2, what would be the probability of seeing 100 rats?A clinician interested in agoraphobia (fear of public places) tests a new treatment method. She samples five agoraphobics from her clinic and has them report how many times they ventured out of their houses (on their own) in the past month. They then received relaxation training and were introduced to trips away from their homes at gradually increasing durations. After 2 months, subjects again reported how many times they ventured (on their own) out of their houses. The data are below. Assess whether there is a significant change in trips outside the home from before to after therapy. a. Report and interpret an effect size b. what type of error might you be making?
- As a student, you probably have noticed a curious phenomenon. In every class, there are some students who zip through exams and turn in their papers while everyone else is still on page 1. Other students cling to their exams and continue working until the very last minute. Have you ever wondered what grades these students get? Are the students who finish first the best in the class or are they simply conceding failure? To answer this question, we carefully observed a recent exam and recorded the amount of time each student spent working and the grade each student received. Is there a relationship between the two?a. Create a scatter plot of the datab.…In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 40 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 40-minute interval) one otter initiates social grooming of another. Lambda = 6.8 (b) Find the probabilities that in your 40 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) =Regardless of age, about 20% of American adults participate in fitness activities at least twice a week. However, these fitness activities change as the people get older, and occasionally participants become nonparticipants as they age. In a local survey of n = 100 adults over 40 years old, a total of 15 people indicated that they participated in a fitness activity at least twice a week. Do these data indicate that the participation rate for adults over 40 years of age is significantly less than the 20% figure? Calcu- late the p-value and use it to draw the appropriate conclusions.
- Two of the hottest smartphones on the market are the newly released iPhone6 and the Samsung Galaxy S6. CNet.com offers online reviews of all major cell phones, including battery life tests. In a review of the iPhone6, the talk-time battery life of 35 iPhones was measured. Similarly, the talk-time battery life of 30 Galaxy S6s was measured. Two outputs are given below. Which is appropriate for analyzing the data collected? Output 1 Output 2 Using the StatCrunch output chosen above, determine if there is a difference in the mean battery life for the two phones. Use a significance level of 0.01 when conducting the test. Select the appropriate hypotheses. Make sure the notation used in the hypotheses agrees with the type of samples selected in the output. Ho:μd=0Ho:μd=0Ha:μd<0Ha:μd<0 Ho:μd=0Ho:μd=0Ha:μd≠0Ha:μd≠0 Ho:μd=0Ho:μd=0Ha:μd>0Ha:μd>0 Ho:μ1=μ2Ho:μ1=μ2Ha:μ1>μ2Ha:μ1>μ2 Ho:μ1=μ2Ho:μ1=μ2Ha:μ1≠μ2Ha:μ1≠μ2 Ho:μ1=μ2Ho:μ1=μ2Ha:μ1<μ2Ha:μ1<μ2 αα =…A team of government researchers would like to determine whether a new tax on cigarettes has any effect on people’s smoking behavior. Specifically, they are expecting that by increasing the price of cigarettes, people’s will buy fewer packs of cigarettes (ultimately leading to decreases in cigarette smoking). During the year before the tax was imposed, stores located in rest areas on the state highways reported selling an average of µ = 410 packs per day. The distribution of daily sales was approximately normal. For a random sample of n = 25 days during the first year following the new tax, the researchers found an average of x̅= 380 packs per day for the same stores, with a standard deviation of s = 60. Is the sample mean sufficient to conclude that there was a significant decrease in cigarette purchases after the new tax? Use a one-tailed test with α = .01.Since muscle tension in the head region has been associated with tension headaches, a researcher reasoned that if the muscle tension could be changed, perhaps the headaches would also be changed. The researcher designed an experiment in which nine subjects with tension headaches participated. The subjects kept daily logs of the number of headaches they experienced during a 2-week baseline period. Then the researcher trained them to change their muscle tension in the head region, using a biofeedback device. For this experiment, the biofeedback device was connected to a muscle in the forehead region. The device indicated the subject's amount of tension in the muscle to which it was attached and helped them achieve low tension levels. After 6 weeks of training, during which the subjects became successful at maintaining low muscle tension, they again kept a 2-week log of the number of headaches experienced. The following are the number of headaches recorded during each 2-week period.…
- The assessment of diet is an important exposure for many disease outcomes. However, there is often much imprecision in dietary recall. In one study, 70-to 79-year-old women were asked about the preschool diet of their children (ages 2−4) using a food frequency questionnaire (FFQ). A unique aspect of the study is that simultaneous diet record data exist on the same children recorded in real time by their mothers when they were ages 2−4 and their mothers were 20 to 40 years old. The data in Table 11.36 were available on average servings of margarine per week. ID FFQ DR 340 7 0 399 7 0.5 466 0 0 502 0 0 541 0 0 554 7 2.5 558 7 3 605 7 0.5 611 21 3.7 618 0 2.5 653 21 4.1 707 7 8.5 The Pearson correlation between intake from the two re-cording methods was 0.448. Assume that FFQ and DR margarine intake are normally distributed. Question: Provide a 95% confidence interval for ρ. #95% CI for z r <- 0.448 #Fisher's transformation of rz <-…The owner of a small firm has just purchased a personal computer, which she expects will serve her for the next two years The owner has been told that she "must" buy a surge suppressor to provide protection for her new hardware against possible surges or variations in the electrical current, which have the capacity to damage the computer The amount of damage to the computer depends on the strength of the surge. It has been estimated that there is a 1% chance of incurring 350 dollar damage, 4% chance of incurring 200 dollar damage, and 10% chance of incurring 125 dollar damage from a surge within the next two years. An inexpensive suppressor, which would provide protection for only one surge, can be purchased. How much should the owner be willing to pay if she makes decisions on the basis of expected value? Expected value = Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.In a certain year, it was estimated that 1,000,000 of the 307,000,000 residents of the United States are HIV-positive. (HIV is the virus that is believed to cause AIDS.) The Repeatedly Reactive Immunoassay (RRIA) diagnostic test correctly diagnoses the presence of AIDS/HIV 99.7% of the time and correctly diagnoses its absence 98.5% of the time. (Round your answers to four decimal places.) (a) Find the probability that a person whose test results are positive actually has HIV.(b) Find the probability that a person whose test results are negative does not have HIV.(c) Find the probability that a person whose test results are positive does not have HIV.(d) Find the probability that a person whose test results are negative actually has HIV.(e) Which of the probabilities would you be interested in if you or someone close to you tested positive? the probability that a person whose test results are positive actually has HIVthe probability that a person whose test results are negative does not…