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- 3. A researcher estimates that the average height of buildings in terms of the number of storey in the National Capital Region is at least 15 storeys. A random sample of 12 buildings is selected, and the numbers of storey are shown. At = 0.01, is there enough to reject the claim? 20 10 8 15 17 25 36 35 12 28 16 30he numbers of state parks found in selected states in three different regions of the country are listed below. South West New England 51 28 94 64 44 72 35 24 14 24 31 52 47 40 a. (15 pts) At a-0.05 can it be concluded that the average number of state parks differs by region? b. If there is a significant difference among the means, test each pair of means.You are management for a chain of department stores. Your analytics team believes that the proportion of months with lost sales for one of your department stores is 25%. You believe it is higher than this, so you gather some data for the last 4 years. You find that for 48 months there were 17 months where there were lost sales. Do you have enough evidence to doubt your analytics team? a) What is the null hypothesis? b) What is the alternative hypothesis? c) What is the claimed population proportion? d) What is the sample proportion (called the test statistic) e) What is the std deviation f) What is the z-value of the test statistic? g) What is the p-value h) What is the conclusion in words
- 12. Side effects Even if an experiment is double-blind, the blinding might be compromised if side effects of the treatments differ. For example, suppose researchers at a skin-care company are comparing their new acne treatment against the leading competitor. Fifty subjects are assigned at random to each treatment, and the company's researchers will rate the improvement for each of the 100 subjects. The researchers aren't told which subjects received which treatments, but they know that their new acne treatment causes a slight reddening of the skin. How might this knowledge compromise the blinding? Explain why this is an important consideration in this experiment.2. Below is data on the number of vehicles involved in a fatal crash and city in California during 2019. City Single-ve Two-vehicle hicle crash fatalities Los Angeles 175 San Diego 61 San Jose San Francisco Fresno 49 22 33 Sacramento 28 Long Beach 26 crash fatalities 69 19 19 a 13 2. Is there enough evidence to support that the number of vehicles involved in a crash is related to the city in which the accident occur? null and alternate hypotheses test statistic, critical value and/or p-value expected counts reject or fail to reject the null hypothesis ● conclusion in plain EnglishPlease give an answer with a calculation and give an explanation of the correct and incorrect option.
- 5.disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 223 numerical entries from the file and r = 48 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.(i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0.301; H1: p = 0.301H0: p = 0.301; H1: p > 0.301 H0: p = 0.301; H1: p < 0.301H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq <…2) A population has μ = 100 and σ = 20. If you select a single score from this population, on the average, how close would it be to the population mean? Explain your answer.
- A researcher is interested in the effect of the pandemic on social media use among college students. The researcher hypothesizes that college students spend more time on social media thanthey did before the pandemic. To test his hypothesis, he randomly selected 50 college students and asked how many hours do they spend on social media per day before and after the pandemic. a) What is the research question? b) What is/are the variable(s)? What graphs can be used to display the variable(s) visually? c) What statistical test can be used to answer the research question?2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:Express the alternative hypothesis in symbolic form. A psychologist claims that the mean amount of time (in hours) that females spend in talk therapy is more than that of men. Assume that two samples are independent. Let the female talk therapy times be the first population and the male talk therapy times be the second population.