A simple random sample of 20 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results n= 20, x= 59.7 words,s= 16.5 words. Given that this dictionary has 1470 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim thatthe mean number of words per page is greater than 47.6 words. Use a 0.10 significance level to tost the claim that the mean number of words per page is greater than47.6 words. What does the result suggest about the claim that there are more than 70,000 defined words? Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed.What are the null and alternative hypotheses?A. Ho: H47.6 wordsH: u>47.6 wordsOB. Họ: = 47.6 wordsH: <47.6 wordsOC. Hg: =47.6 wordsOD. Ho: >47.6 wordsHp<47.6 wordsH: H#47.6 wordsDetermine the test statistic.(Round to two decimal places as needed.) Next questionListed below are the lead concentrations in ug'g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean leadconcentration for all such medicines is less than 16 pg/g. Assume that the sample is a simple random sample.10.5 4 22.5 2.5 15.5 15.5 6.5 16 14 12 oAssuming all conditions for conducting a hypothesis tost are met, what are the null and alternative hypotheses?VA Ho: 16 uglgOB. Ho = 16 poloH, u< 16 uglgHi u> 16 pglgHọ: 16 pg/gHy: 16 vglgOD, Ho > 16 polaH e 16 pglaDetermine the test statistic.(Round to two decimal places as needed.)

1)GivenMean(x)=59.7sample size(n)=20standard devaition(s)=16.5α=0.10

Answered: A simple random sample of 20 pages from…

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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The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 49 40 58 52 49 70 49 59 47 49 53 55 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
7. In one state, the mean time served in prison by convicted burglars is 18.7 months. A researcher would like to perform a hypothesis test to determine whether the mean amount of time served by convicted burglars in her hometown is different from 18.7 months. She takes a random sample of 11 such cases from court files in her home town and finds that = 21.4 months and s = 7 months. Use a 5% significance level to perform the test. Assume normally distributed population. Perform critical-value (classical) test. Be sure to identify the null and alternate hypotheses and interpret your results. a) Hypotheses: b) Test statistic: c) Critical-value: d) Hypothesis test conclusion and interpretation:
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. BIG Corporation would like to estimate the mean amount of coffee, H, dispensed per cup by this machine. BIG will choose a random sample of cup amounts 00 dispensed by this machine and use this sample to estimate H. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.43 ounces, what is the minimum sample size needed in order for BIG to be 95% confident that its estimate is within 0.07 ounces of µ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)
At a local food processing plant, it used to take an average of 90 minutes for new workers to learn a food processing job. Recently the company installed a new food processing machine. The supervisor at the company wants to find if the mean time taken by new workers to learn the food processing procedure on this new machine is different from 90 minutes. A sample of 20 workers showed that it took, on average, 85 minutes for them to learn the food processing procedure on the new machine. It is known that the learning times for all new workers are normally distributed with a population standard deviation of 7 minutes. Use a significance level of 0.01 to test the claim that the mean time is different from 90 minutes. What is the decision? A) Reject Ho because the test statistic is in the critical region and the p-value is greater than the significance level. B) Reject Ho because the test statistic is not in the critical region and the p-value is greater than the significance level.…
At a local food processing plant, it used to take an average of 90 minutes for new workers to learn a food processing job. Recently the company installed a new food processing machine. The supervisor at the company wants to find if the mean time taken by new workers to learn the food processing procedure on this new machine is different from 90 minutes. A sample of 20 workers showed that it took, on average, 85 minutes for them to learn the food processing procedure on the new machine. It is known that the learning times for all new workers are normally distributed with a population standard deviation of 7 minutes. Use a significance level of 0.01 to test the claim that the mean time is different from 90 minutes. What is the test statistic? A) -7.01 B) -2.539 C) -3.19 D) -2.528 E) -1.96
please answer the first 3 and explain the reason for the answer.
The recommended hours of sleep per night for adults is 8 hours. A doctor, who works at a sleep study facility, believes average number of hours of sleep per night for adults is more than the recommended 8 hours. To test this claim, at th significance level, the doctor collects the following data on a sample of 25 adults at the sleep study facility and records amount of sleep. The following is the data from this study: Sample size = 25 adults Sample mean = 8.5 hours Sample standard deviation = 0.9 hours Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=#, t represent the correct hypothesis.) Provide your answer below:

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