A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. Is there sufficient evidence at the 0.02 levelthat the bags are overfilled? Assume the population is normally distributed.State the null and alternative hypotheses for the above scenario.AnswerHoH₂KeypadKeyboard ShortcutsTables

We have given that Population Mean(µ) = 410 Significance level (α) = 0.02

Answered: A manufacturer of potato chips would…

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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If the test requires that the results be statistically significant at a level of α = 0.05, fill in the blanks and complete the sentences that explain the test decision and conclusion. The decision is to reject the null hypothesis. There is enough evidence at a significance level of a = 0.05 that the mean weight for U.S. women of age 40-49 who smoke daily is less than 169.976 pounds.
The average starting salary of students who graduated from colleges of Business in 2009 was $48,400.A sample of 100 graduates in 2010 showed an average starting salary of $50,000. Assume the standarddeviation of the population is known to be $8000. We want to determine whether or not there hasbeen a significant increase in the starting salaries.Step 1. Statement of the hypothesis Step 2. Standardized test statistic formula Step 3. State the level of significance Step 4. Decision Rule (Draw a bell to show rejection zone) Step 5. Calculation of the statistic Step 6. Conclusion
The average income of a large sample of households is $63,000 and the s.d. is $7,000. Assume that the data is approximately bell-shaped. What percent of these households have incomes between $42,000 and $77,000? Don’t forget to properly justify your answer using the empirical rule.
The weekly expenditure on groceries of a random sample of 100 family households was recorded. It was estimated that the mean expenditure was approximately $240. With rising interest rates and petrol prices, it was anticipated that grocery expenditure might decrease. Which hypothesis test would you use to test this claim? 1.One tailed, one sample t-test 2.Two tailed, one sample t-test 3.One tailed, z-test 4.One-tailed Paired Samples t-test 5.Chi Square
Suppose your null hypothesis is that engineering majors earn more than $80,000. Further, researchers collect and analyze sample data that leads them to fail to reject this null hypothesis. However, in the population, it is true that engineering majors earn less than $80,000. What would we call this error? a. Type I error b. Type II error c. No error occured d. Error equal to the level of significance
Big fish: A sample of 250 flounder of a certain species have sample mean weight 50.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight is less than 49 grams. State the appropriate null and alternate hypotheses.
A marketing researcher would like to compare the mean amounts that men and women spend on Christmas gifts. Independent random samples were taken from each group. He would like to conduct a test to determine if women spend more on average. If the null hypothesis is Ho : µM - µf = 0, what is the alternative hypothesis? ge 2: ge 3: OH1 : µM – HF 0 4 OH1 : µM – HF # 0 Page 5: Next Page Dege 10of15
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows Current Year Previous Year Осcupied Rooms 1,470 1,458 Total 1,750 1,800 Rooms (a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p, population proportion of rooms occupied for current year and P2 = population proportion of rooms occupied for previous year.) Ho: P1-P22 0 H: P1- P2 0 Ho: P1- P2 0 Hai P1 P2 = 0 Ho: P1- P2 = 0 H P1- P2 0 Ho: P1- P2 # 0 Hi P1- P2 = 0 (b) What is the estimated proportion of hotel rooms occupied each year? current previous (c) Calculate the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value Using a 0.05 level of significance, what is your…
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 436 gram setting. Based on a 20 bag sample where the mean is 433 grams and the variance is 121, is there sufficient evidence at the 0.025 level that the bags are underfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.
Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of the new students have failed the test and have been placed in remedial classes. In a sample of n = 100 students from this year’s class, only 12 failed the test.
The U.S. Department of Labor stated that the national unemployment rate was 4.9%. Of a sample of 90 people in one city, 5.2% were unemployed. Can the city conclude that their unemployment rate is the same as the national average? Do we reject the null hypothesis? (Answer on Excel)
contribution rate of 4.81% in past campaigns, K The Paralyzed Veterans of America recently sent letters to a random sample of 100,000 potential donors and received 4781 donations. They've had but a staff member worries that the rate is lower now that they've redesigned their letter. Is there evidence that the 4.78% they received is evidence of a real drop in the contribution rate? Complete parts a through c below. Assume the independence assumption is met. OB. Ho: p=0.0481 HA: P 0.0481 OC. Ho: p*0.0481 HA: P=0.0481 OD. Ho: p0.0481 OF. Ho: p>0.0481 HA: P=0.0481 b) Are the assumptions and conditions for inference met? Which assumptions and conditions below are met? Select all that apply. A. The success/failure condition is met. B. The independence assumption is met. C. The 10% condition is met. D. The randomization condition is met. c) Do you think the donation rate would drop? The test statistic is z = (Round to two decimal places as needed.)

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