デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT In Indiana the average annual salary for a federal government employee is $41,979 (The World Almanac, 2001). Use this figure as the population mean and assume that the population standard deviation is \sigma = $5000. Suppose a sample of 50 of these federal government employees is selected. a) What is the value of the standard error of the mean? b). What is the probability that the sample mean is greater than $41,9797?
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- The American Community Survey (ACS), part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants. The most recent survey estimates with 90% confidence that the mean household income in the U.S. falls between $69,720 and $69,922. Find the point estimate for mean U.S. household income and the error bound for mean U.S. household income.Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95%cconfidence that the sample mean is ±4 IQ points of the true mean. Assume that the standard deviation is 21 and determine the required sample size. n=___ (Round up to the nearest integer.)A company that manufactures steel wires guarantees that the mean breaking strength (in kN) of the wires is greater than 50. They measure the strengths for a sample of wires and test H0 : μ ≤ 50 versus H1 : μ > 50. a) If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength? b) If a Type II error is made, what conclusion will be drawn regarding the mean breaking strength?
- According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor's degree and were employed earned an average of $1152 a week in 2010. A recent sample of 676 American workers who have a bachelor's degree showed that they earn an average of $1171 per week. Assume that the population standard deviation is $165. Test the claim that the current mean weekly earnings of American workers with a bachelor's degree is greater than $1152. Show all the steps of a hypothesis test.Assume that 28% of randomly selected adults have high cholesterol (with a level of at least 240mg/dl. or are taking medicine to reduce cholesterol). Based on results from the National Center for Health Statistics. Assume that a group of five adults is randomly selected find the mean and standard deviation for the numbers of adults in group of five who have cholesterol if all five of the adults have high cholesterol, is five significantly high? why or why not? if the group of five adults includes exactly 1 with high cholesterol, is that value of 1 significantly low?A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $949 and $1015, respectively. The population standard deviations are known to be $255 and $89, respectively. Conduct a hypothesis test at the 5% level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university. 1. State the distribution to use for the test. (Round your answers to two decimal places.) X ~ ______ (________ , _________) 2. Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
- A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $945 and $1015, respectively. The population standard deviations are known to be $257 and $89, respectively. Conduct a hypothesis test at the 5% level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part C: In words, state what your random variable Xc − Xu represents. Choose one below: Xc − Xu represent the difference in the average cost of textbooks at four year…A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $945 and $1015, respectively. The population standard deviations are known to be $257 and $89, respectively. Conduct a hypothesis test at the 5% level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part F: What is the p-value? (round your answer to four decimal places) Part I: Explain how you determined which distribution to use. Choose one below. The standard…A researcher wishes to know whether or not students sleep less than all college students. It is known that the average college student sleeps 6.4 hours per weeknight. The researcher takes a random sample of 35 students and determines that students have a mean sleep time of 6.2 hours, and calculates of p value of 0.006, allowing the correct claim of statistical significance. If, in fact, it turns out that students really do sleep the same as all college students, what type of error has been made?
- According to a survey, the average American person sleeps for 8 hours per day. To test if the amount sleep in New York City is less than the national average, a researcher decides to do a hypothesis test, at a 1% significance level. He surveys 23 New Yorkers randomly and asks them about their amount of sleep each day, on average. From the data, the sample mean time is 7.4 hours per day, and the sample standard deviation (s) is 0.9 hours. H0: μ≤8; Ha: μ>8. α=0.01 (significance level) What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)? Round your final answer to two decimal places.WHO (World Health Organization) states that 1500 cals is the average daily calorie intake for the people in Hatay. A group of 100 people are selected from there, and the mean and standard deviation of the daily calorie intake are found to be 1705 cals and 900 cals, respectively. Use 5% significance level and;a) Perform a test of hypothesis if the WHO statement about the daily average calorie intake still holds?b) Find the probability of committing a Type II error and calculate the Power of Test when the real average is 1805.In order to plan an effective intervention effort for HIV transmission in Washoe County, scientists are interested in identifying the current prevalence of injection drug users (IDU) in Washoe County. The Behavioral Risk Factor Surveillance System (BRFSS) found that national prevalence of IDU is 3%. With a sample size of 300, what is the standard notation of the normal approximation of the binomial count?
