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- Chapter 6, Section 4-HT, Exercise 209 Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.Test H0 : μ1=μ2 vs Ha : μ1>μ2 using the sample results x¯1=56, s1=8.2 with n1=30 and x¯2=51, s2=6.9 with n2=40. (a) Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = p-value = (b) What is the conclusion of the test? Test at a 5% level. Reject H0. Do not reject H0.Chapter 6, Section 5, Exercise 236 Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using d=x1-x2.Test H0 : μd=0 vs Ha : μd≠0 using the paired difference sample results x¯d=10.51, sd=11.6, nd=25. Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = Enter your answer; test statisticp-value = Enter your answer; p-value Give the conclusion using a 5% significance level. Reject H0. Do not reject H0.Chapter 6, Section 4-HT, Exercise 212 Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.Test H0 : μT=μC vs Ha : μT<μC using the fact that the treatment group (T) has a sample mean of 8.6 with a standard deviation of 4.1 while the control group (C) has a sample mean of 11.2with a standard deviation of 3.4. Both groups have 25 cases. (a) Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = p-value = (b) What is the conclusion of the test at a 5% significance level? Reject H0. Do not reject H0.
- Chapter 6, Section 4-HT, Exercise 209 Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.Test H0 : μ1=μ2 vs Ha : μ1>μ2 using the sample results x¯1=56, s1=8.2 with n1=30 and x¯2=51, s2=6.9 with n2=40. Your answer is partially correct. Try again. (a) Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = p-value = Correct. (b) What is the conclusion of the test? Test at a 5% level. Reject H0. Do not reject H0.Consider the two-component system of Conceptual Problem 4.6. Further more, suppose that a single repair person starts the system repair as soon as the system fails. The repair time of each component is an Exp(a) random variable. The system is turned on when both components are repaired. Assume that shocks have no effect on the components unless the system is on. Model this as a CTMC.9. A research center claims that 24% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 28% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not enter your response here %. B. No more than enter your response here % of adults in the country would travel into space on a commercial flight if they could afford it. C. At least…
- Suppose that a random sample of size 1 is to be taken from a finite population of size N. a. How many possible samples are there?b. Identify the relationship between the possible sample means and the possible observations of the variable under consideration.c. What is the difference between taking a random sample of size 1 from a population and selecting a member at random from the population?A simple random sample of size n= 40 is obtained from a population that is skewed left with u = 61 and o = 4.Given three independent Bernoulli processes Xn, Yn, Zn with success probabilities given as 0.10, 0.87, and 0.26, respectively. X and Y are merged into one Bernoulli process which is merged with Z after. Find the resulting success probability of the last Bernoulli process. (Note: the answer should be in 4 decimal points)
- A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d belowFrom historical data at a local restaurant indicate that 60% of customers order coffee, 15% order soft drinks, and the remaining order water. The owner of the restaurant is planning on opening a new restaurant for the purpose of stocking enough of various drinks, wants to know if the proportions are the same for his new restaurant as they were for his original restaurant. In a sample of 1000 customers at the new restaurant, 550 ordered coffee, 190 order soft drinks, and the remaining simply wanted water. At the 5% level of significance, does it appear the proportions have changed?In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normal