12. Which choice best describes the value of the appropriate test statistic for this test?(a)F = 1.926(b)F =3.709(c)F = 2.853(d)F(e)F = 0.519=37.092 A sample with 11 observations from population 1 has a sample standard deviation s₁ = 5.2. A samplewith 14 observations from population 2 has a sample standard deviation s2 = 2.7. Both populations areknown to be approximately normal. Consider the following hypotheses:Ho: 0² ≤ 0²/Ha : 0² > 0²/

From the information, given thatThe given hypotheses are,

Answered: A sample with 11 observations from…

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 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…
A company claims that the mean monthly salary for their managers is 8 thousand dollars.A sample of 100 managers has a mean monthly salary of 7.5 thousand dollars with a standard deviation of 1.9 thousand dollars. You want to perform a hypothesis test challenge the validity of the claim made by the company, at a significance level of α=0.10α=0.10. Your hypotheses are:Ho:μ=8,000Ho:μ=8,000Ha:μ<8,000Ha:μ<8,000 (a) Find the test statistic, rounded to 4 decimal places.Test Statistic = (b) FInd the p-value, rounded to 4 decimal places.p-value =
Currently patrons at the library speak at an average of 68 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 60 people speaking at the library. Their average decibel level was 63.5 and their standard deviation was 15. What can be concluded at the the αα = 0.05 level of significance?The null and alternative hypotheses would be: H0:H0: Mean = __?__orrect H1:H1: Mean < __?__orrectC The test statistic t= __?__ (please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)
3.3.15 Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3293.7 g and a standard deviation of 551.3 g. Newborn females have weights with a mean of 3000.6 g and a standard deviation of 590.5 g Who has the weight that is more extreme relative to the group from which they came; a male who weighs 1700 g or a female who weighs 1700 g? V has the weight that is more extreme. Since the z score for the male is z= and the z score for the female isz= the (Round to two decimal places.)
A simple random sample of 80 adults is obtained, and each person’s red blood cell count is measured. The sample mean is 6.25 and a standard deviation of .65. Use a .01 significance level to test the claim that the sample is from a population with a mean less than 6.4, which is a value often used for the upper limit of the range of normal values. (For each hypothesis test state H0 and H1)
The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 150 vs. Ha: μ > 150 B. Ho: μ = 150 vs. Ha: μ < 150 C. Ho: μ = 148 vs. Ha: μ > 148 D. Ho: μ = 148 vs. Ha: μ < 148
Question 2 A paired-samples test is reported as t(18) = 1.73. Make a decision about this test, assuming a two-tailed hypothesis test with a p level of 0.05. Fail to reject the null hypothesis. O Reject the null hypothesis. Reject the research hypothesis. Fail to reject the research hypothesis.
An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 700 days and a standard deviation of 121. BIG Corporation claims that the standard deviation of its electric bulbs is less than 121. Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis H. and the alternative hypothesis H that we would use for this test. Ho: O H₁: 0 μ X p a S 0<0
Question4: The times for untrained rats to run a standard maze has a normal distribution where the times are measured in seconds. The researcher hopes to show that training improves the times. A sample of 9 rats were selected and the time to run a standard maze before and after training were measured in seconds and shown below. Does the data support the researcher’s hypothesis? Conduct a hypothesis test at 5% significant level (specify 4 steps).
A sample of 38 observations is selected from one population with a population standard deviation of 3.0. The sample mean is 100.5. A sample of 50 observations is selected from a second population with a population standard deviation of 5.2. The sample mean is 98.8. Conduct the following test of hypothesis using the 0.02 significance level. He: H₁ H₂ H₁ H₁ H₂ Required: a. Is this a one-talled or a two-talled test? O One-talled test Ⓒ Two-talled test b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject Hō if z is > Answer is complete but not entirely correct. the interval ( outside 1.96 X c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) 1.96 X
Question 20. part b. Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 5.8 hours to be admitted into the hospital. The standard deviation for these 14 patients was 1.7 hours. What can be concluded at the the αα = 0.05 level of significance level of significance? C.)The test statistic ?, z or t = ____ (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 ?, ≤ , > α

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