Suppose you know the population average wage in the manufacturing industry in the U.S. is $26.72 per hour. You take a survey 40 people that work in manufacturing in Spain to answer the following research question. Research Question: Is the population average manufacturing wage in Spain less than $26.72 per hour, the population average manufacturing wage in the U.S.? You know the population standard deviation for manufacturing wages in Spain is $2.60 per hour. Suppose you are using a significance level of 0.01 or 1% (α = 0.01). Suppose that the true average manufacturing wage in Spain is $25 per hour. What is the minimum sample size necessary to ensure that the probability of a Type II Error is less than 1%?

Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 1212 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $42,000$⁢42,000 with a standard deviation of $9800$⁢9800. Fifteen people with doctoral degrees in education were found to have a mean annual salary of $50,000$⁢50,000 with a standard deviation of $9200$⁢9200. Assume that the population variances are not the same. Construct a 90%90% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.

ccording to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (approximately seven gallons) of salad and cooking oils in 2008 (www.ers.usda.gov/data/foodconsumption). Suppose that the current distribution of salad and cooking oil consumption is approximately normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.Round your answers to two decimal places.a. What percentage of Americans’ annual salad and cooking oil consumption is less than 15 pounds?b. What percentage of Americans’ annual salad and cooking oil consumption is between 45 and 60 pounds?c. What percentage of Americans’ annual salad and cooking oil consumption is more than 95 pounds?d. What percentage of Americans’ annual salad and cooking oil consumption is between 55 and 70 pounds?

In this exercise, you will compare Chebyshev’s rule and the empirical rule. a. Compare the estimates given by the two rules for the percentage of observations that lie within two standard deviations to either side of the mean. Comment on the differences.b. Compare the estimates given by the two rules for the percentage of observations that lie within three standard deviations to either side of the mean. Comment on the differences.

How do I get the answers?

In a previous research project for University of Michigan, you wanted to know what extent students were a morning person. Using a scale from 1 (not a morning person) to 7 (very much a morning person), you had a mean of 3.40 and a standard deviation of 1.47. You examine your examine your data and find you have a student named Julian with a raw score of 6. 2.a. What is that student’s z score? 2.b. What percent of students are below Julian’s z score ? 2.c. What percent are above Julian’s z score?   You have another student, Monika from your university regarding they are a morning person or not. Her raw score is 1.0.   3.a. What is Monika’s z score? 3.b. What is the area (proportion ) between Monika and Julian’s Z scores ? 3.c. What is the area below Monika’s z score? 3.d What is the are above Monika’s z score?

The average McDonald's restaurant generates $3 million in sales each year with a standard deviation of 0.4. Russell wants to know if the average sales generated by McDonald's restaurants in Nebraska is different than the worldwide average. He surveys 26 restaurants in Nebraska and finds the following data (in millions of dollars):3.3, 3.2, 3.5, 3.3, 3.3, 3.4, 2.8, 3.5, 3.4, 2.5, 2.5, 3.6, 2.9, 2.9, 2.9, 3.5, 3.4, 2.7, 2.2, 2.5, 3.5, 3.6, 3.5, 3.7, 3.6, 2.8Perform a hypothesis test using a 10% level of significance.Step 1: State the null and alternative hypotheses.H0:(p or u)(<,> #)?      Ha: p or u)(<,> #)?           (So we will be performing a    left or right or 2 tail   test.)?Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are  normal distributed or t distributed ?    with distribution mean  ? and distribution…

We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental US in Exercise 5.19. The mean and standard deviation of the reported differences are 1.1 degrees and 4.9 degrees respectively. see attachment

You are applying for a job at two companies. Company A offers starting salaries with u = $33,000 and o = $1,000. Company B offers starting salaries with u = $33,000 and o = $3,000. From which company are you more likely to get an offer of $35,000 or more? Choose the correct answer below. O A. Company A, because data values that lie more than two standard deviations from the mean are considered unusual. O B. No difference, because data values that lie more than three standard deviations from the mean are considered very unusual. O C. Company B, because data values that lie within one standard deviation from the mean are not considered unusual.

Find the standard deviation for the following data set. ​2, 2,​ 2, 5,​ 5, 6,​ 6, 8,​ 8, 9   A. 2.49 B. 2 C. 5 D. 6.21   Which is the correct answer?