(Ztable)

I need help with these 11 questions Please

1.

The proportion of people who relapse at twelve months posttreatment for heroin addiction is 0.75. Suppose that researchers at a treatment facility use simple random samples to ensure that this number is not changing. Determine the value of f) such that in 99% of all simple random samples of size n = 50, the proportion of people in the sample who relapse at twelve months posttreatment for heroin addiction is less than [2. You make nd a ztable or some software manuals useful. Please give your answer to two decimal places. '3) || :1 In an election, the population consists of the people who voted. Although there is overall data on how the population voted, there is no population data on how specic individuals voted. Exit polls are small surveys that use random sampling to ask voters questions immediately after they have voted. CNN conducted an exit poll in Texas after the 2016 presidential election. They asked a variety of questions, including whom the person voted for and their age. One age group of interest was 2529 years. Although the proportion, p, of voters ages 25-29 who voted for Donald Trump is not known, it does exist. Assume for this exercise that p = 0.412. Also assume that the exit poll consisted of 226 voters ages 25-29. Determine the value of m such that in 95% of all samples of size 226, the proportion of Trump voters would be within m of the population proportion, p = 0.412. m: According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for Hispanic females was 84.3 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research. The distribution of age at death, X, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, 3, in all possible samples of size n is approximately normal if n is large enough, by the central limit theorem. Let E be the mean life expectancy in a sample of 100 Hispanic females. Determine the interval centered at the population mean M such that 95% of sample means 3 will fall in the interval. Give your answers precise to one decimal. You may need to use software or a table of z-critical values. lower limit years In a population of Siberian ying squirrels in western Finland, assume that the the number of pups born to each female over her lifetime has mean ,u = 3.66 and standard deviation 0 = 2.9598. The distribution of squirrel pups born is non-normal because it takes only whole, non-negative values. Determine the mean number of pups, 5, such that in 90% of all random samples of such squirrels of size n = 60, the mean number of pups born to females in the sample is less than 2. You may need to use software or a table of z-critical values. You may nd some software manuals useful. Give your answer to at least two decimal places. RI || :1 The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and Wages (QCEW) and reports a variety of information on each county in America. In the third quarter of 2016, the QCEW reported the total taxable earnings, in millions, of all wage earners in all 3222 counties in America. Suppose that James is an economist who collects a simple random sample of the total taxable earnings of workers in 58 American counties during the third quarter of 2016. According to the QCEW, the true population mean and standard deviation of taxable earnings, in millions of dollars, by county are ,u = 28.29 and a = 33.493, respectively. Let X be the total taxable earnings, in millions, of all wage earners in a county. The mean total taxable earnings of all wage earners in a county across all the counties in James' sample is 5. Use the central limit theorem (CLT) to determine the probability P that the mean taxable wages in J ames' sample of 58 counties will be less than $35 million. Report your answer to four decimal places. M: Use the CLT again to determine the probability that the mean taxable wages in James' sample of 58 counties will be greater than $32 million. Report your answer to four decimal places. PM The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages 1259 test seropositive for HPV-16. Suppose that Tara, an infectious disease specialist, assays blood serum from a random sample of n = 1000 women in the United States aged 1259. Apply the central limit theorem for the distribution of a sample proportion to nd the probability that the proportion, 13, of women in Tara's sample who test positive for HPV-l6 is greater than 0.204. Express the result as a decimal precise to three places. Apply the central limit theorem for the distribution of a sample proportion to nd the probability that the proportion of women in Tara's sample who test positive for HPV-16 is less than 0.171. Express the result as a decimal precise to three places. According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for Hispanic males was 79.3 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research. The distribution of age at death, X, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, 5, in all possible samples of size n is approximately normal if n is large enough, by the central limit theorem. Suppose that Esm is a researcher for a large, for-prot hospital company. She takes a simple random sample of n = 100 Hispanic males obtained from all death records over the past year. Determine the sample mean, E, such that the probability is 99% that the mean in Esm's sample will be greater than 3. You may nd a table of critical values useful. Give your answer to the precise to one decimal place. HI || The Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9% of the population of the United States age 1824 had an episode of depression in the previous 12 months. Suppose a researcher takes a random sample of 225 United States adults aged 18-24. Determine the value of the sample proportion, 13, such that 5% of samples of 225 United States adults age 1824 are greater than 13. You may nd software or a z-table useful. Give your answer precise to three decimal places. '> II :1 Assume a recent sociological report states that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101. Suppose Jason, a policy manager at a local university, decides to take a random sample of 125 university students to survey them about their drinking habits. Determine the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption. Provide your answer with precision to two decimal places. According to data from the 2010 United States Census, 83.7% of Americans lived in a metropolitan area. Suppose Maria, a researcher, takes a random sample of 125 Americans and nds that 98 live in a metropolitan area. Let 1'} represent the sample proportion of Americans that lived in a metropolitan area. What are the mean and standard deviation of the sampling distribution of 13? Provide your answer rounded to three decimal places. Suppose that, as part of a game at a charity carnival, players are invited to spin a wheel for a chance at winning either a small, medium, or large prize. The wheel is constructed so that the probability that a player does not win a prize, 1), is 0.55. If a random sample of 40 players is selected, then 13 is the proportion of players in the sample who do not win a prize. What is the mean of the sampling distribution of 5? What is the standard deviation of the sampling distribution of 1')? Give your answer precise to three decimal places. Which of the following graphs shows the sampling distribution of 13? 0 III 0.2 0.9