A researcher randomly assigned post-surgical patients to receive one of three types of pain drug. After waiting for the drugs to take effect, he asked each patient to rate their level of pain on a 12-point scale, where higher numbers indicate greater pain. Analyze the results below using a one-way ANOVA and follow the 7 hypothesis testing steps you have been taught. Use an appropriate post hoc test if necessary. Arctus Retryl Locor 2. 1 3 8. 4 1 5 4
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- A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that themeals do not contain the advertised amount of protein? Run the appropriate test at a 5% level of significance. What is the p-value of the test?A manufacturer is developing a nickel-metal hydride battery to be used in cellular telephones instead of a nickel-cadmium battery. The director of quality control decides to evaluate the newly developed battery by picking a random sample of employees with cellular phones and asking them to use both phones until the batteries run down. The results are given in the excel data file. At the 5% level of significance is there evidence that the new battery provides more minutes of talk time per battery charge? Show your work and give your answer in complete sentences in context of the problem. Data Table: Person Old Battery Type New Battery Type 1 72.39 89.95 2 75.25 64.60 3 82.10 71.25 4 58.98 87.07 5 67.07 103.11 6 35.98 76.46 7 75.37 83.92 8 66.00 83.42 9 73.14 84.30 10 67.14 92.48 11 83.06 93.48 12 57.00 59.11 13 65.92 92.27 14 76.12 61.81 15 85.21 72.83 16 80.73 42.17 17 60.65 83.89 18 36.63 94.41 19 77.98 70.30 20 75.40 77.72 21 84.70 84.35…A well-known brokerage firm executive claimed that at least 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 88% of them said they are confident of meeting their goals. What practical conclusion can we make about the claim? What would be our formal conclusion if we used a 0.01 significance level?
- It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results.An LED light bulb manufacturer claims that the average lifespan of its 60-watt LED light bulbs is 43,000 hours.A corporate watchdog group is suspicious of the company's claim and thinks that the true average lifespan of the 60-watt LED light bulbs produced by the company may be less than the advertised 43,000 hours. The group collected and tested a random sample of 240 light bulbs and found the average lifespan of the sample was 42,958 hours.Use the p-value method to test the hypothesis that the mean lifespan of this brand of 60-watt LED light bulb is less than 43,000 hours, using α=0.025α=0.025. Assume the standard deviation of the lifespan of all such light bulbs is known to be 430 hours.State the null and alternative hypothesis for this test.H0:H0: H1:H1: Determine if this test is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailed Should the standard normal (zz) distribution or Student's (tt) distribution be used for this…Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below What two null hypotheses are being tested with the output shown above? What statistical conclusions would you draw about these hypotheses? Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). duration = + * distance What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?
- A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that themeals do not contain the advertised amount of protein? Run the appropriate test at a 5% level of significance. I am confused about what the p-value is from the choices provided.A small pilot study is run to compare a new drug for chronic pain to one that is currently available. Participants are randomly assigned to receive either the new drug or the currently available drug and report improvement in pain on a 5-point ordinal scale: 1=Pain is much worse, 2=Pain is slightly worse, 3= No change, 4=Pain improved slightly, 5=Pain much improved. Is there a significant difference in self-reported improvement in pain? Use the Mann-Whitney U test with a 5% level of significance. Please show work. New Drug: 4 5 3 3 4 2 Standard Drug: 2 3 4 1 2 3When they send out theirfundraising letter, a philanthropic organization typically gets a return from about 5% of the people on their mailing list. To see what the response rate might be in the future, they did a simulation using samples of size 20, 50, 100, and 200. For each sample size, they simulated 1000 mailings with success rate p=0.05 and constructed the histogram of the 1000 sample proportions, as shown in the accopmanying table. Explain how these histograms demonstrate what the Central Limit Theorem says about the sampling distribution model for sample proportions. Be sure to talk about center, shape, and spread. Fill in the blanks As the sample size increases, the center of the histogram ▼ (moves to the left), (moves to the right), (stays approximattly the same) the shape of the distribution ▼ (becomes more normal), (becomes less normal), (stays approximatley the same) and the variability in the sample proportions ▼ (decreases), (increases), (stays aproxamtley the…
- In a rural area, only 30% of the wells that are drilled find adequate water within a depth of 100 feet or less. A local man Jed Clampett asserts he can do better by “dowsing” - using a forked stick to indicate where the well should be drilled. A sample of 80 of his customers reported 27 that found water before a depth of 100 feet. Does the data support his claim? Use a 10% significance level.An article claimed that "those with a college degree reported a higher incidence of sunburn than those without a high school degree—45 percent versus 26 percent." For purposes of this exercise, suppose that these percentages were based on random samples of size 200 from each of the two groups of interest (college graduates and those without a high school degree). Is there convincing evidence that the proportion who experience a sunburn is higher for college graduates than it is for those without a high school degree? (Use pcollege graduates − pwithout a high school degree. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P =Two types of valves are being tested to determine if there is a difference inpressure tolerances. Fifteen out of a random sample of 100 of Valve Acracked under 4,500 psi. Six out of a random sample of 100 of Valve Bcracked under 4,500 psi. Test at a 5% level of significance.