8. A recent claim has been made that people who spend at least 30 minutes a day playing with their dog are happier than people who don't. A study is conducted yielding a z score of -2.3. Part A: Which of the following is the null hypothesis? a) There is a difference in the happiness between people who play with their dog and people who do not. b) B. There is no difference in the happiness between people who play with their dog and people who do not. Part B. Using a 95% confidence level, which of the following is true a. Since, 1-2.3| > 1.96 we can reject the null hypothesis. b. Since, 1-2.3| <1.96 we do not have enough evidence to reject the null hypothesis.
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- What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?Further to the information provided in the question above, we are informed that nails produced thatare shorter than the minimum acceptable length have to be scrapped. Consider that 4.8cm is still theminimum threshold for acceptable nail length. If the cost to produce one nail is 45 cents, how muchdoes the company incur in Rand losses due to scrapping?A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?
- A package delivery service claims that it takes an average of 30 hours or less to send a package from Manila to Cebu. An independent consumer agency is doing a study to test the truth of this claim. Several complaints had led the agency to suspect that the delivery time is longer than 30 hours. H0:µ ≤ 30; H1: µ > 30 H0:µ = 30; H1: µ ≠30 H0:µ ≥ 30; H1: µ < 30 H0:µ < 30; H1: µ ≥ 30Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.
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- To determine the effectiveness of an oil additive, a testing firm purchased two cars of the same make, year, and model, and drove each a distance of 30,000 miles using the same kind of gasoline, the same kind of oil, the same driver, under the same road conditions. The oil in one engine included the additive, whereas the oil in the other engine did not. At the end of the test, the engines of both cars were dismantled, and it was found that the engine that contained the additive had less wear. The testing firm concluded that the oil additive caused the reduced wear.A statistics instructor believes that fewer than 15% of Evergreen Valley College (EVC) students attended the opening midnight showing of the latest Harry Potter movie. She surveys 120 of her students and finds that 24 of them attended the midnight showing. The Type I error is to conclude that the percent of EVC students who attended is ________. A.) less than 15%, when in fact, it is less than 15%. B.) less than 15%, when in fact, it is at least 15%. C.) 15% , when in fact, it is not 15%. D.)at least 15% , when in fact, it is at least 15% E.) at least 15%, when in fact, it is less than 15%.There is some evidence that, in the years 1981— 85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6 pp. 320— 35, 1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.76%, with a standard deviation of 0.12%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a)According to Chebyshev's theorem,…