You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: MZ 10 H₂H 10 The sample size is 120 and the population standard deviation is 5. Use a = 0.05. If the actual population mean is 9, the probability of a type II error 0.2925. Suppose the researcher wants to reduce the probability of a type II error to 0.10 when the actual population mean is 10. What sample size is recommended? (Round your answer up to the nearest integer.)
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- ou are conducting a hypothesis test on the body weights of male fraternity members. The research (alternative) hypothesis is that the averge weight is greater than 200 lbs. Your test will be at the 0.01 significance level. You take a sample of 64 men, and find that the sample average is 210 lbs, and the standard deviation is 20 lbs. The value of your test statistic is, therefore, 4.00. Would your test statistic be higher or lower if your sample stats had been estimated from a sample of 640 men, rather than 64? Group of answer choices Lower The same (neither higher, nor lower). HigherSuppose you are a consultant to a fast food chain. The fast food chain is interested in measuring the population variance in the number of customers it has on adaily basis in all its stores in the U.S. However, it is limited in its ability to track this number across all stores and has to select a sample. Think critically about thefollowing questions:1. There are two estimators for the population variance with different levels of bias and variance. Explain how you would go about choosing between thesetwo estimators.2. You are interested in coming up with a 95% confidence interval for the population variance. How would you go about deciding the number of outlets tosample?6 In a test of hypothesis, the symbol α represents: a The level of significance, or the probability of rejecting a true H₀. b The power of the test, or the probability of rejecting a false H₀. c The level of significance, or the probability of not rejecting a false H₀. d The level of significance, or the probability of committing a Type II error.
- Suppose cattle in a large herd have a mean weight of 1428lbs and a standard deviation of 119lbs . What is the probability that the mean weight of the sample of cows would differ from the population mean by less than 11lbs if 49 cows are sampled at random from the herd? Round your answer to four decimal places.Can the market model (3,6) be rewritten in the format of (4.1)? Why?Which one of the following is the most appropriate as a definition of R^2 (R- squared) in the context that the term is usually used? Select one: a. It is the correlation between the fitted values and the residuals b. It is the proportion of the total variability of y that is explained by the model c. It is the correlation between the fitted values and the mean. d. It is the proportion of the total variability of y about its mean value that is explained by the model
- ASSISTANCE REQUIRED FOR PART "e" i- vi ONLY, please. Also can you please show step by step how to get null and alternative in the hypothesis? A car company wants to know the monthly sales made in ($000), based on the brand of vehicle.The data collected was entered on a MINITAB spreadsheet for analysis. Exhibit II below was subsequently generated. Exhibit 2 Model N Mean Median Tri.Mean Std Dev S.E. Mean Hyundai 23 109 135 107.64 * 1.34 Toyota 27 165 124 143.65 9.5 ** a) Determine the values of * and **. b) Give the unbiased point estimate for the average monthly earning from Hyundai Vehicles.c) Give the unbiased point estimate for the variance of monthly earning from Hyundai Vehicles.d) Assuming normality, construct and interpret a 90% confidence interval for the average monthly earning from Toyota Vehicles. e) You are required to test at the 5% level of significance the hypothesis that the average monthly earnings on Hyundai Vehicles is equal to $110,000 versus the…If the E(u|X) does not equal 0. How can this assumption be relaxed if the sample size grows infinitely?Suppose the amount of change IWU students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 IWU students and learn how much change they have. What type of distribution does the population, which is the change carried by IWU students, follow? What are the mean and standard deviation of the population? (6 points) What type of distribution does the sample mean follow? What are the mean and standard deviation of the sample mean? (6 points) Find the probability that the average change of 25 IWU students was between $0.80 and $1.00. Graph the situation, shade in the area to be determined, and find the probability. (6 points)
- You collected a sample from a population which you realized has very high standarddeviation. You want to estimate the population parameter from this sample. You thinkthat your interval will be very wide, what you can do to narrow it down without changingyour confidence level. Will your suggestion to improve the width of the interval increasethe probability of the true mean lying in that interval?What is sampling? Explain the differences between probability and nonprobability samples and identify the various typesof each6.33 Statistics released by the National HighwayTraffic Safety Administration and the National SafetyCouncil show that on an average weekend night, 1 outof every 10 drivers on the road is drunk. If 400 driversare randomly checked next Saturday night, what is theprobability that the number of drunk drivers will be(a) less than 32?(b) more than 49?(c) at least 35 but less than 47?