Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.4 inches.(a) State the appropriate null and altemative hypotheses to assoss whether women are taller today.(b) Suppose the Pvalue for this test is 0.12. Explain what this value represents.(c) Wnite a concusion for this hypothesis test assuming an a0.10 level of sigrificance(A) State the eppropriate null and aterative hypotheses to assess whether women are taler todayOB H63.7 in. versus H 63.7 inOA H64A n, verus Hy 644 inOC H637 in versus H>63.7 inOE H37 in. versus H63,7inO D. Hp64.4 in. versus H,>644 inOR H04.4 in versus H 64.4 in

Answered: Several years ago, the mean height of…

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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Similar questions

The general population (Population 2) has a mean of 30 and a standard deviation of 5, and the cutoff Z score for significance in a study involving one participant is 1.96. If the raw score obtained by the participant is 45, what decisions should be made about the null and research hypotheses?
New York State claims that the average cost for gasoline is less than $2.60 per gallon.You think this information is incorrect, so you travel to 41 different gas stations and findthat the mean cost of gas is $2.57 per gallon. Assume the population standard deviationis $0.25 per gallon. Is there enough evidence to support the claim for ? = 0.01? Be sureto identify the null and alternative hypotheses.
"On the Standford-Binet test, the mean IQ is 100. A class of 7 kindergarten pupils were tested with a resulting mean of 103 and a standard deviation of 5.28. Does this group have a mean significantly different than the norm group? Use 0.1 as your level of significance." It is safe to assume that they are within the norm unless additional evidence say otherwise. B "Yes, however, the class is lower than the norm, on average" "Yes, in fact the class is above the norm, on average." D) "No, I am 100% sure that they are within the norm value."
A college alumni Organization sent a survey to all recent graduates to ask their annual income. 20% of the alumni responded, and their mean annual income was $40,000 with a standard deviation of $10,000. Explain why these data should not be used to construct a confidence interval for the mean annual income of all recent graduates.
as well as P-value too!
What is the p-value of a right-tailed one-mean hypothesis test, with a test statistic of z0=1.6? (Do not round your answer; compute your answer using a value from the table below.)
What is the p-value of a right-tailed one-mean hypothesis test, with a test statistic of z0=2.05? (Do not round your answer; compute your answer using a value from the table below.)
a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 discs gave a mean diameter, ?̅ = 14.9 mm and a standard deviation, s = 1.33 mm. A test was carried out at the 5% level of significance to determine whether the machine is in good working order. Assume that the diameter of the disc follows a normal distribution. State, in symbols, the null and alternate hypotheses for this test. ii. State, with reasons, whether a t-test or a z-test will be appropriate. iii. (Determine the rejection region(s) of the test. iv. Calculate the value of the test statistic. v. State, with reason, a valid conclusion for the test.
Average heart rate for Americans is 72 beats/minute. A group of 25 individuals participated in an aerobics fitness program to lower their heart rate. After six months the group was evaluated to identify is the program had significantly slowed their heart. The mean heart rate for the group was 69 beats/minute with a standard deviation of 6.5. Was the aerobics program effective in lowering heart rate? a) What would be the null hypothesis and alternative hypothesis in this study? b) What is your tcrit(t critical value) ? c) Is there a significant difference between the two groups? d) Interpret your answer. e) Write out your t-value in APA format. *ANSWER ALL PARTS OF THE QUESTION*
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
the city's waste manager is interested in testing to see if the mean amount of garbage per bin is different from 50 pounds. In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds. Conduct the appropriate hypothesis test using a 0.01 level of significance.a) What are the appropriate null and alternative hypotheses? a. H0: ? = 50 versus Ha: ? < 50 b. H0: ? = 50 versus Ha: ? ≠ 50 c. H0: x = 50 versus Ha: x ≠ 50 d. H0: ? = 50 versus Ha: ? > 50 B.) What is the test statistic? C.) What is the P-value for the test?
A national corporation has implemented incentives for employees to engage in a fitness program. The program has been in effect for 3 years and the corporation claims that the average BMI among its male employees is lower than the national average for males. The CDC list the average BMI for males to be 26.6. Sample size = 40, sample mean = 25.74, standard deviation = 6.16557 Perform a hypothesis test at a level of significance of 0.05 to examine the claim by the corporation with respect to having a lower average BMI than the national average. Clearly state the hypotheses, Determine the rejection region, Compute the test statistic, Clearly state if the null hypothesis can be rejected and why or why not, Determine the p-value of the test and interpret all results of the hypothesis test. Also Determine 95% confidence interval about the population mean and 90% confidence interval about the population mean. For both parts 95% and 90%, make a statement about the ability to either support…

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