2) A researcher claims that the monthly consumption of coffee per person is more than 19 cups. In asample of 60 randomly selected people, the mean monthly consumption was 20. The standarddeviation of the sample was 4 cups. Find the p-value of the test. On the basis of the p-value is theresearchers claim valid at a =0.01?Solution:I.Statement of the Hypothesis:НоH1II.Statistical Test:III.Level of Significance and Critical Value:IV.Computed value of Z:V.Conclusion:

Answered: Image /qna-images/answer/b3a15c36-024d-4976-ad0c-45b52f04d2bb.jpg

Answered: 2) A researcher claims that the monthly…

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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2. The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250 ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then finds the mean capacity to be 248 ml. The standard deviation is 5 ml. Is the claim true?
10.
It is necessary for an automobile producer to estimate the number of miles per gallon achieved by its cars. Suppose that the sample mean for a random sample of 110 cars is 29.4 miles and assume the standard deviation is 3.4 miles. Now suppose the car producer wants to test the hypothesis that ?μ, the mean number of miles per gallon, is 32.4 against the alternative hypothesis that it is not 32.4 Conduct a test using ?=.05 by giving the following: (a) positive critical ? score (b) negative critical ? score (c) test statistic The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that ?=32.4B. We can reject the null hypothesis that ?=32.4 and accept that ?≠32.4
(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by √n The p-value is the area under the curve to the right of the value of the test statistic. O One-tailed o Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal places.) 0.3 0.2 0.1 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the studio. o Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 90. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean player rating is higher than 90.…
choose the best answers to the given questions or statements.
An educational researcher claims that the average GPA of graduate students at FIU is less than 3.5 . To test his claim he collected data on 81 graduate students . The sample mean GPA was 3.25 with a standard deviation of 0.3 . What is the conclusion ? Group of answer choices A. Reject the null hypothesis B. Type I error C. Fail to reject the null hypothesis D. Reject the alternative hypothesis
The mean number of eggs per person eaten in the United States is 244. Do college students eat a different number of eggs than the average American? The 60 college students surveyed averaged 255 eggs per person and their standard deviation was 64.4. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: 244 H1: PV A 244 c. The test statistic 1.323 (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 f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the populaton mean is significantly different from 244 at a = 0.10, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 244. O The data suggest that the…
The mean number of eggs per person eaten in the United States is 266. Do college students eat a different number of eggs than the average American? The 61 college students surveyed averaged 285 eggs per person and their standard deviation was 72.6. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: v Select an answer H.: vSelect an answer c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) a O The data suggest that the sample mean is not significantly different from 266 at a = 0.10, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is different from 285. O The data suggest that the…
19. Assume that the sample has been randomly selected from a population that has a normal distribution. The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a standard deviation of 14.3. Use a significance level of 0.01 to test the teacher's claim. Show work.
The mean SAT score in mathematics is 228. The standard deviation of these scores is 30. A special preparation course claims that the mean SAT score, H, of its graduates is greater than 258. An independent researcher tests this by taking a random sample of 20 students who completed the course; the mean SAT Score in mathematics for the sample was 209. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 2587 Assume that the population standard deviation of the scores of course graduates is also 30. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) state the null hypothesis H, and the alternative hypothesis H. H :0 H :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more…
1. It is the most reliable measure of variation or dispersion? choose: Range Standard deviation Mean deviation Variance 2.The weights of ripe watermelons at Mr. Pakwan's farm are normally distributed with a standard deviation of 1.4 kg. Find the mean weight of Mr. Pakwan's ripe watermelons if only 3% weigh less than 3.5 kg. choose: 5.28 kg 3.61 kg 6.13 kg 4.90 kg thanks
Over the years, the mean customer satisfaction rating at a local restaurant has been s0. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to so. In a sample of 54 customers chosen at random, the mean customer rating is 75.4. Assume that the population standard deviation of customer ratings is 21.2. Is there enough evidence to support the claim that the mean customer rating is different from so? Perform a hypothesis test, using the 0.0s level of significance. (a) State the null hypothesis , and the alternative hypothesis OSO H: D (b) Perform a z-test and find the p-value. Here is some information to help you with your z-test. • The value of the test statistic is given by • The p-value is two times the area under the curve to the left of the value of the test statistic. Normal Distribution Step 1: Select one-tailed or two-tailed O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) (Round to…

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