1. A cigarette manufacturer claims that the average nicotine content of their cigarette does not exceed 3.4 mg. A randomsample of 10 cigarettes was taken and found out to have average nicotine content of 4.5 mg with standard deviation of 1.5mg. Are you going to accept the manufacturer's claim at 0.01 level of significance?Ho: M = 3.На : мазtritConclusion: We have sufficientevidence to reject manufacturer'sالہ

Followings are the Explanation of the question Hypothesized Population Mean (µ) = 3 mg The…

Answered: A cigarette manufacturer claims that…

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 fertiliser company claims that its product will result in at least 39 sacks of potatoes per hectare on average. Application if the fertiliser to a randomly chosen 25 sample of hectares results in average yield of 36 sacks per hectare with a standard deviation of 6 sacks A. Calculate the test statistic, rounded to 3.dp for the hypothesis that the manufacturers claim is correct. B. The manufacturers claim can be rejected at 5% level of significance? True or false?
A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.8 mg and a standard deviation of 3.18 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters?
An automobile manufacturer has given its van a 36.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 37.0. Assume the population standard deviation is known to be 1.5. Is there sufficient evidence at the 0.0 level to support the testing firm's claim? Step 4 of 6 : Find the P-value of the test statistic. Round your answer to four decimal places.
According to the National Association of Home Builders, the average cost of building a home in the Northeast is $117.91 per square foot. A random sample of 38 new homes indicated that the mean cost was $123.87 and the standard deviation was $17. Can it be concluded that the mean cost differs from $117.91, using the 0.10 level of significance? A.) State the hypotheses and identify the claim with the correct hypothesis. H0: H1: B.) Find the critical value(s). C.) Compute the test value. z= D.) Make the decision. ________ the null hypothesis. E.) Summarize the results.
The average salary for American college graduates is $44,300. You suspect that the average is different for graduates from your college. The 61 randomly selected graduates from your college had an average salary of $44,099 and a standard deviation of $4,460. What can be concluded at the a = 0.10 level of significance? a. For this study, we should useSelect an answer b. The null and alternative hypotheses would be: Họ: vSelect an answer H: ? vSelect an answer c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is va the null hypothesis. f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 44,300 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is different from 44,300. The data suggest that…
(Tied to Hypothesis Testing Discussion Forum) When 40 people use the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds. Historically the standard deviation is σ = 4.9 pounds (based on data from “Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction,” by Dansinger, et al., Journal of the American Medical Association, Vol. 293, No. 1). Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0. a. State the null and alternate hypotheses. (This part was used for the Hypothesis Testing Forum) b. Explain whether your test will be left, right or two-tailed. c. State the test statistic and p-value of your test. Round your answers to four-decimal places. d. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α. e. Interpret your conclusion in the context of this problem.
A mathematics test is applied to 29 students from the UPN people who obtain an average grade of 75.6 with a standard deviation of 5.23 It is known that the correct value of the test must be greater than µ= 74. Is there enough evidence to prove that Is the student average greater than the population average in the group? Consider a significance level of 0.05
I am most confused on how to know if you use less than or greater than for the alternative hypothesis??
A mathematics test is applied to 34 students from the UPN people who obtain an average grade of 75.6 with a standard deviation of 5.23. It is known that the correct value of the test must be greater than µ= 74. Is there enough evidence to prove that Is the student average greater than the population average in the group? Consider a significance level of 0.05
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A health professional obtains records for 33 patients who have undergone a certain surgical procedure and finds the average length of stay is 3.23 days with a standard deviation of 1.58 days. Using a = evidence to suggest the actual average length of stay for this surgical procedure is 3 days? 0.10, is there What are the hypotheses? O Ho: µ = 3.23 vs H1: µ # 3.23 Ho:u = 3 vs H1 :µ#3 Họ : = %3D 3 vs H1: + 3 Ho: = 3.23 vs H1: + 3.23 %3D Calculate the test statistic using the correct letter. = - 0.84 t = 0.84 z = 0.84 = Z - 0.84 Determine the critical values. O+1.691 Q+1.694 ±1.307 +1.692 +1.282 土1.309 O+1.645

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