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…
2. Suppose that a random variable X follows a normal distribution with unknown mean u but a known standard deviation of 30. We're interested in testing: Ho: = 75 versus Ha: < 75. Using a = 0.01, find the sample size n necessary to achieve the power of the test to be 0.90 when the value of the mean is 65 under the alternative hypothesis.
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.)
In order to test the claim that the mean drive speed (Km/hr) of adults in a known highway in a city is at most 75 Km/hr, a sample of 40 adult drivers was taken and resulted a sample mean of 85 Km/hr. If the population standard deviation is 35 Km/hr, perform the test with a level of significance a = 0.05 using the P-value approach. 1. The mull and alternative hypotheses are A. Ho : u 75 and H : u 75 D. Ho : 2 75 and H, : p< 75 2. Test statistic value = (approximate to two decimal places) D. 1.81 A. -1.81 B. 0.29 C. 0.29 3. P-value = A. 0.0702 (approximate to four decimal places) B. 0.1404 C. 0.9298 D. 0.0351 4. The decision of the test: A. Reject Ho, there is a strong evidence that the adults mean drive speed is less than 75 Km/hr. B. Do not reject Ho, there is no evidence that the adults mean drive speed is more than 75 Km/hr. C. Reject Ho, there is a strong evidence that the adults mean drive speed is more than 75 Km/hr. D. Do not reject Ho, there is a strong evidence that the adults…
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).
1. In a random sample of fishes from a pond, the mean tail length was 6.0 mm and the reference tail length for the species was found to be 4.0 mm with a standard deviation of 2.0. if there are 16 fishes, what would be the z score and which hypothesis would be accepted? 2. If the mean for group 1 in a clinical trial for the time for a drug X to act is 10 minutes and 8 minutes for group 2 and if the standard deviation for group 1 is 1.0 and group 2 is 2.0. If there are 4 persons in both groups, what is the t value and which hypothesis would you accept if t critical is 3.14 ( 2 sided) 3. A geneticist is examining the relationship between genotype and phenotype for roses. He calculated a chi-square value of 4.1 for a 2 x 2 table. If the scenario is two sided, which hypothesis did he accept? 4.

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