of nine cups is obtained. The machine is supposed to fill a cup with 250deviation of the content of the cups is 15 cc. Assume that the soup cup filling measurements follow anormal distribution.a. What are the hypotheses to be tested?b. What is the meaning of a Type I error? A Type II error?c. What is the decision rule for α = 0.10?16 On the average, tellers in a company make 15 errors a day with a standard deviation of 4.8 errorsper day. To evaluate the performance of a new teller, a sample of 36 days of his work is chosen. Themanagement has decided that if his average number of errors per day is less than 17, he will be keptin the job. Otherwise, they will dismiss him.a. What are the hypotheses to be tested?b. What is the meaning of a Type I error? A Type II error?c. What is the value of the Type I error for the given decision rule?d. What is the value of the Type II error if the actual mean error rate of the new teller is 20 errors peday?An oil company has a machine that fills 1,000 cc bottles with a particular hair tonic. If the mean "exceeds 1,000 cc, there will be a lot of spillage of the liquid. If the mean fill is below 1,000 cc, th-will be complaints from customers. To check the operation of the machine, 25 bottles are choat random and found to have a mean fill of 999,2 cc. The standard deviation of the machine fillknown from past tests to be 1.5 cc. Test the hypotheses using a 5% level of significance. Assumethe distribution of the fills is normal.

Answered: Image /qna-images/answer/25453095-d7c2-4244-9df5-3caf08cca585.jpg

Answered: 16 on the average, tellers in a company…

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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Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
3. A small business in Irvine that sells clothing makes roughly $35 per transaction. The CEOsuspects that the business has recently been making less than usual. 40 transactions are randomlysampled from recent transactions and the dollar amount of the transaction recorded. The samplehas a mean of $32.50 and standard deviation of $2.50. a. Set up the null and alternative hypothesis (using mathematical notation/numbers and interpretthem in context of the problem) b. Calculate the test statistic for the test from part a. c. Compute the p-value for the test (use R). Round to the nearest 3rd decimal place, 0.xxx.
1. The average number of people per household in California in the year 2010 was 2.91. We believe the average household size is the same now. Looking at 81 California households, we find an average size of 2.82. The population standard deviation is known to be 0.342. Test the claim using a 0.05 level of significance. a. What is the claim? What are the null and alternate hypotheses? Will it be a one or two tailed test? b. Do we use z-scores, t-scores, or nothing? Why? c. Define the rejection region. Put it into words also. d. Summarize the sample information and then find t* or z*. Formulas xー Ox= e. What is your conclusion?
4. A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of weight loss is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with a 90% confidence.
As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 45 full-time students, and the sample mean age is 22.3 with a standard deviation of 4.8. You sample 50 part-time students, and the sample mean age is 24.3 with a standard deviation of 5.6. Test the claim using a 2% level of significance. Assume the population standard deviations are unequal and that both populations are normally distributed. Where necessary, round results accurate to 4 decimal places. a. What are the correct hypotheses? Null: Ο Ho: μ = 0 O Ho: ₁ = ₂ Ho: M₁ M₂ Ο Ho: μ = 22.3 Alternative: Ο HA: Mı # με Ο HA: μ. > με HA: ₁2 HA: < 0 Ο HA: μ + 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value = e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the…
You are a manager of a building that hosts the local farmers market for a town. You want to investigate if the average amount of sales for a vendor per week at your building is greater than $2040. After surveying 17 of their vendors, you find that mean sales per week of the vendors sampled was $2110 with a standard deviation of $114.03. What is the value of the test statistic for your hypothesis test? Note: 1- Only round your final answer. Round your final answer to two decimal places.
2) A restaurant association claims that the average amount a family spends per year eating out is $2700. Suppose you are a consumer reporter and want to test this claim. You select a random sample of 32 homes and obtain that their mean is $2850 with a standard deviation of $270. using α= 0.05, do you have enough evidence to reject the association's claim?
Use five-step hypothesis testing for each of the following problems. Number each of the five steps. You may use the traditional method or the p-value method. 1) Science fiction novels average 250 pages in length. The average length of 8 randomly chosen novels written by I. M. Wordy was 265 pages in length with a standard deviation of 35. At are Wordy's novels significantly longer than the average science fiction novel? Use five-step hypothesis testing. 2) The average monthly cell phone bill was reported to be $50.07 by the U.S. Wireless Industry. Random Sampling of a large cell phone company found the following monthly cell phone charges (in dollars): At the 0.01 level of significance, can it be concluded that the average phone bill has…
1
You are a manager of a building that hosts the local farmers market for a town. You want to investigate if the average amount of sales for a vendor per week at your building is greater than $2050. After surveying 18 of their vendors, you find that mean sales per week of the vendors sampled was $2100 with a standard deviation of $101.08. What is the value of the test statistic for your hypothesis test? Note: 1- Only round your final answer. Round your final answer to two decimal places.
a. State the null and alternative hypothesis.
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