3. A random sample of 25 observations taken from a population that is normally distributed produced asample mean of 58.5 and a standard deviation of 7.5. Find the critical and observed values of t for eachof the following tests of hypothesis using a = 0.01.a) Ho:μ = 55b) H₂:μ = 55Ha: μ > 55Ha:μ # 55SO

Answered: Image /qna-images/answer/05468c39-3f5f-43dd-bfe8-7b3027250101.jpg

Answered: 3. A random sample of 25 observations…

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 random sample of 60 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is =x53. Assume the standard deviation of test scores is =σ9. The nationwide average score on this test is 55. The school superintendent wants to know whether the second-graders in her school district are different from the nationwide average. Use the =α0.10 level of significance and the critical value method.
A variable xx is normally distributed with mean 21 and standard deviation 3.Round your answers to the nearest hundredth as needed.a) Determine the zz-score for x=26x=26. z=z= b) Determine the zz-score for x=15x=15. z=z= c) What value of xx has a zz-score of 2.332.33? x=x= d) What value of xx has a zz-score of −1.3-1.3? x=x= e) What value of xx has a zz-score of 00?
A researcher claims that the average number of calories in a serving of ice cream is 70 with a population standard deviation of 7. A sample of 40 servings of ice cream was found to be different with an average of 73 calories. Check the researcher’s claim at α = 0.05 and compute the test value.
A health professional obtains records for 38 patients who have undergone a certain surgical procedure and finds the average length of stay is 5.23 days with a standard deviation of 1.76 days. Using α=0.10α=0.10, is there evidence to suggest the actual average length of stay for this surgical procedure is 5 days?What are the hypotheses? H0:μ=5.23H0:μ=5.23 vs H1:μ≠5.23H1:μ≠5.23 H0:¯x=5.23H0:x¯=5.23 vs H1:¯x≠5.23H1:x¯≠5.23 H0:μ=5H0:μ=5 vs H1:μ≠5H1:μ≠5 H0:¯x=5H0:x¯=5 vs H1:¯x≠5H1:x¯≠5 Calculate the test statistic using the correct letter. t=0.81t=0.81 z=−0.81z=-0.81 z=0.81z=0.81 t=−0.81t=-0.81 Determine the critical values. ±1.305 ±1.687 ±1.685 ±1.645 ±1.304 ±1.686 ±1.282 State your decision. Accept H0 Fail to reject H0 Reject H0 The correct conclusion is that we conclude that the average length of stay of surgeries of this type days.What level of concern do you have for the validity of your results? Low −- our sample size is near 30, so while that's…
Many people believe that the average number of Facebook friends is 125. The population standard deviation is 36.8. A random sample of 49 high school students in a particular county revealed that the average number of Facebook friends was 146. At =α0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 125? State the hypotheses and identify the claim with the correct hypothesis. :H0 ▼= :H1 ▼= This hypotheses test is a one tailed or two tailed test z score critical value(s) reject or accept this hypothesis is there enough evidence to support the claim
pierpio.su 746 The depletion time of a vital resource in a production process is believed to be normally distributed with a mean of u = 31 minutes and a standard deviation of a = 4 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim, a random sample of n = 10 production shifts were taken and the observed mean depletion time of the resource was = 32.3 minutes. a. In testing the production team's claim, select the appropriate alternative hypothesis, H₁ or Ha: 0 Ομ # 32.3 Ομ > 32.3 Ομ 31 b. At a = 0.04, determine the critical value (2 decimal places): DO 222 nent edell 21 20 Critical Value = thotteslong Tibor que 001,222 por horistil allendizaslong Il sol vesi c. The value of the test statistic (2 decimal places) = ar nadgit о There is 08 21 2/2701220 d. At a = 0.04, select the decision/conclusion: NOOR O Reject the mill hypothesis Ⓒ Fail to reject the null hypothesis Select an answer CO…
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Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 104.5 with a standard deviation of 13.6. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: µ= 100 versus H,: µ> 100. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 100. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 100. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 100. O D. The director is testing if the sample provided sufficient…
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.8and a standard deviation of 61.5. (All units are 1000 cells/μL.)Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 124.8 and 370.8? b. What is the approximate percentage of women with platelet counts between 63.3 and 432.3?
Many people believe that the average number of Facebook friends is 145. The population standard deviation is 36.7. A random sample of 35 high school students in a particular county revealed that the average number of Facebook friends was 165. At =α0.01, is there sufficient evidence to conclude that the mean number of friends is greater than 145? State the hypotheses and identify the claim with the correct hypothesis. :H0=μ ▼claim/ not claim? :H1>μ145 ▼claim/ not claim? This hypotheses test is a ▼one-tailed test/two tail? Part 2 of 5 Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): Part 3 of 5 Compute the test value. Always round z score values to two decimal places Part 4 of 5 Make the decision. ▼reject/Do not reject the null hypothesis. Part 5 of 5 Summarize the results. There ▼(Choose one) enough evidence to…
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