Y Hotpot stoves use a standard oven insulation. To test its effectiveness they take random samples from the production line and heat the ovens selected to 400°C after switching off. For a sample of 8 ovens the times in minutes are: Sample A 16.6 16.3 14.8 13.9 14.6 14.2 14.6 14.2 They decide to explore a cheaper insulation and using this on a sample of 9 the times taken for the same temperature drop are Sample B 14.8 13.4 15.3 12.9 14.6 13.4 15.3 13.9 14.1 Are the firm justified in asserting there is no real evidence of a different rate of heat loss? What is the Mann-Whitney U statistic (report the larger of U₁ and U₂) Here are the critical values for n₁-8 and n₂-9, for the two-tailed Mann-Whitney test
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- the human brains delays in response to a sound has been found to be a 5.68 milliseconds. a random sample of 10 participants is selected, and each subject is asked to go without sleep for 24 hours before a test for brain stem auditory response latency. the average latency is found to be 5.85 milliseconds, with s=0.14.test the hypothesis that lack of sleep has no effect on average latency.A manufacturer of automatic car transmissions uses steel gears. An important characteristic of these gears is their hardness. An experiment is conducted to compare gears made from three different steel alloys, that is, three different compositions of steel. Gears made from each of these steel alloys were heat-treated or hardened at two different temperature levels, 1600 and 1800 °F. Twelve gears of each of the three different steel alloys were available --six were randomly assigned to each of the two temperature levels. For this experimental situation:a. What are the experimental units?b. What are the explanatory variables?c. What is the response variable?d. How many different treatment combinations will there be?e. Create the design table and how many total experimental units will be needed for this experiment?Brink studied the effect of postural change on cardiovascular reactivity for a sample of healthy white and African American men and women. Change in systolic blood pressure (SBP) from supine to standing position was used as the measure of cardiac reactivity in a sample of 842 adults. Supine measurement of blood pressure was taken after participants had lain on an examination table for 15 minutes. Blood pressure was measured five times every 2 minutes using a preset automated blood pressure monitor, and the five measurements were averaged. Participants then stood up, and an additional five measurements were made over another 10-minute period and then averaged. Below is a table describing the characteristics of Brink’s sample. Characteristics of the Study Sample (N = 842) Sample Characteristic Frequency (N) Percentage or Mean (SD) Range Gender Female Male 408 434 48.5% 51.5% Age (years) 842 55.1 (5.3) 44–67 Race/ethnicity White, not Hispanic…
- A random experiment consists of throwing 4 equal coins, if X is the number of stamps:a. What is the dispersion of X?To examine the relationship between alcohol consumption and birth weight, a researcher selects a sample of n = 20 pregnant rats and mixes alcohol with their food for 2 weeks before the pups are born. One newborn pup is randomly selected from each subject’s litter and the average with weight for the n = 20 pups is recorded. It is known that the average birth weight for regular rats (without exposure to alcohol) is μ = 5.6 grams. What type of test would you use to test the hypothesis that alcohol consumption during pregnancy reduces birth weights? Would you use a one-tailed or two-tailed test? What would be an appropriate measure of effect size to report?An organization published an article stating that in any one-year period, approximately 8.2 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. p' = Calculate ?x. Find the p-value.
- A study at UNG divided female graduate students into three groups and had the students perform as many push ups as possible in 60 seconds. The first group was told nothing, the second group was told to “Try as many as possible,” while the third group was told to try and increase their number each day by 5%. After a week, the number of push ups completed by each group was recorded. This is an example of an ____________________ study. A. Experimentalor B. ObservationalJane measures the age of death of 4 strains of mice using 40 male mice per strain, with 20 mice from each strain on a high protein diet and the other 20 mice on a high fat diet. 1- What is the N (the number of independent observations) in this experiment? 2- In this experiment , describe how Jane must decide which mouse gets which treatment.The germination rate of seeds is defined as the proportion of seeds that, when properly planted and watered, sprout and grow. A certain variety of grass seed usually has a germination rate of 0.80, and a company wants to see if spraying the seeds with a chemical that is known to change germination rates in other species will change the germination rate of this grass species. (a) Suppose the company plans to spray a random sample of 400 seeds and conduct a two-sided test of 0: 0.8Hpusing = 0.05. They determine that the power of this test against the alternative 0.75pis 0.69. Interpret the power of this test.(b) Describe two ways the company can increase the power of the test. What is a disadvantage of each of these ways? (c) The company researchers spray 400 seeds with the chemical and 307 of the seeds germinate. This produces a 95% confidence interval for the proportion of seeds that germinate of (0.726, 0.809). Use this confidence interval to determine whether the test described in…
- A poll of 700 frequent and occasional fliers found that 450 respondents favored a ban on cellphones in flight, even if technology permits it. At α = .05, can we conclude that morethan half the sampled population supports a ban?A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rate in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The test statistic is t≈5.627, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the heart rate in the 75∘F room and the heart rate in the 50∘F room is significantly not equal to…1. Per the CDC article, men have higher blood pressure than women. Is this also true for this wholesale distribution center population? Use 0.05. Determine whether your (NEW) sample provides statistical evidence that this company’s population of adults has men with a higher blood pressure than women. Set alpha at 0.05 just focus on the Systolic number.