please give some detailed solution and please do not copy other's work,thanks!!According to a union agreement, the mean income for all senior-level assembly-line workers in a large companyis $500 per week. A representative of a women's group decides to analyse whether the mean income for femaleemployees matches this norm. For a random sample of 50 female employees, the mean is $410 and the SD is $90.Test with a-0.05, whether the mean income of female employees differs from $500 per week. What is theprobability of the Type II error in this case?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Utah and Oregon. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Utah is less than the mean annual income of childcare workers in Oregon. To see if this is true, the firm selected a random sample of 20 childcare workers from Utah and an independent random sample of 20 childcare workers from Oregon and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 27060 , 42320 , 36445 , 37895, 44564 , 35325 , 30313 , 28698, 33706 , 48365 , 26946 , 25063 , 28339 , 29265 , 40051 , 37026 , 40150 , 42753 , 27820, 39471 Utah 29769 , 48859 , 32480 , 36288,45102 , 46219 ,51098 , 45516 , 38834 , 44659 , 40755 , 38006 , 39947 , 29801 , 32200, 38731 , 41370 , 28059 , 33753 , 35271 Oregon Send data to calc... v Send data to Excel The population standard deviation for the annual incomes of…
When we comparing the hospitals in our area for seeking a better care, what statistics or data we should take into consideration ?
A psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations. The following are the indices measured on a random sample of 16 children attending elementary school in a particular district. 48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57 For the data the mean index is 60.69 and the standard deviation is 8.26. The confidence interval is 95%, with a level of significance of 0.05. Perform a statistical test to determine if the population mean index is greater than 50. a) Name of hypothesis test: b) H0: c) HA: d) Test Statistic: e) Rejection region: f) Decision in the context of the problem:
Colleges announce an "average" SAT score for their entering freshmen. Usually the college would like this "average" to be as high as possible. A NewYork Times article noted, "Private colleges that buy lots of top students with merit scholarships prefer the mean, while open-enrollment public instituions like medians." Use what you know about the behavior of means and medians to explain these differences.
A research scientist wishes to test the claim that the mean number of children per classroom in California elementary school is less than 35. She selects a simple random sample of 29 California elementary school classrooms. She know nothing about the distribution of children in classrooms. Can she use the data to test her claim?
The blue catfish (Ictalurus Furcatus) is the largest species of North Amercian catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to Amercian Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. If you are going to test this claim, what would be your null and alternative hypotheses? Ho: HA: p> v Submit Question
make up 2 data sets, each with 5 values, that have the same mean and median, but different standard deviations.
Suppose the mean miles per gallon for a sample of 70,000 new cars and light trucks sold in the United States in 2017 differs from the population mean by more than one gallon. How would you interpret this result?
The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce servings (Coca-Cola Company website, February 3, 2009). Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola's corporate headquarters. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight-ounce servings with a standard deviation of s=101.9. Answer questions 8-10.
A retail survey asked college students how much they planned to spend in various categories during the upcoming academic year. One category is the amount students planned to spend on school supplies. The data below show the amount of money students planned to spend on school supplies. 58, 60, 67, 69, 70, 73, 74, 77, 78, 80, 83, 84, 87, 89, 94, 96, 97, 100, 102, 105 USE SALT (a) Calculate the mean and median for the distribution of money students planned to spend on school supplies. mean median (b) What is the 75th percentile of the distribution? (c) Determine the five-number summary. minimum Q₁ median Q3 maximum
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