Find the minimum sample size required to obtain a level-a test such that B(Ha) = B for a two sided test on mean
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- What is the negative critical value of a two-tailed One-Sample Z-Test for Mean where alpha equals 0.05?The administrative office of a hospital claims that the mean waiting time for patients to get treatment in its emergency ward is 25 minutes. A random sample of 16 patients who received treatment in the emergency ward of this hospital produced a mean waiting time of 27.5 minutes. Using a 1% significance level, test whether the mean waiting time at the emergency ward is different from 25 minutes. Assume that the waiting times for all patients at this emergency ward have a normal distribution and the population standard deviation is 4.8 minutes. a)Step 1: State the null and alternative hypotheses. b)Step 2: Write down the appropriate test statistics(formula), but first check assumptions c)Step 3: Write down the rejection region of your test. (critical value(s) ) d)Step 4: Compute the value of the test statistic e)Step 5: State your conclusion: Reject Ho Do not reject Ho (Just circle) (in one sentence apply the results to the problem). f)What type of mistake could you have made in your…Children of a certain age in the nation have an average weight of 85 with a variance of 98.01 Ib. A complaint is made that children are underfed fed in a boarding school. As evidence, a sample of 25 children of the given age is taken from the boarding school with an average weight of 90.13 Ib. What can be concluded with a = 0.01? a) What is the appropriate test statistic? ---Select- b) Population: ---Select--- Sample: ---Select--- c) Obtain/compute the appropriate values to make a decision about Hp. Critical Value = Decision: ---Select--- Test Statistic = d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below. e) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and select "na" below. d = |; Magnitude: --Select--- ; Magnitude: -Select--- 2 = f) Make an interpretation based on the results. O The weight of children in the boarding school was significantly higher than the weight of children in the nation. O The…
- is it true that the minimum sample size for an independent samples t-test with a medium effect size where eta squared = .05, alpha = .05, and statistical power = .80 would be 76 participants?Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. a) Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, is_____.(Round to two decimal places as needed.) The P-value is____. (Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null…The following data are the daily number of minutes of smartphone use for a random sample of 8students at your institution: 117, 156, 89, 72, 116, 125, 101, 100.(You may use t(df=7, 0.05) = -1.895) (a) Test the null hypothesis according to which the true mean is greater or equal to 100 minagainst the alternative that it is less than 100. Use a significance level of 5% (state the test statistic and the conclusion).
- A maple syrup packager conducts some tests of the sugar content of their latest batch of canned maple syrup. A random sample of 10 cans of maple syrup yields a sample standard deviation of 4.8 milligrams. a) Test the claim that the variance equals 18 (milligrams)2 using the 5 percent level of significance. b) Find the p-value for this test.Need help with aWhat is the critical value of a one-tailed greater than One-Sample Z-Test for Mean where alpha equals 0.05?
- A random sample of 100 private companies locating in Ankara was asked to rate on a scale from 1 (not important) to 5 (extremely important) for having the practical knowledge of statistics as a good job candidate. The sample mean rating was 4.7. a)Test at the 5% significance level the null hypothesis that the population mean rating is less than or equal to 4.5 against the alternative that it is greater than 4.5. Population variance is known as 0.6. b)Compute p-value and explain what the calculated p-value means.What is the estimated standard error for a paired sample t test using the following data: Standard deviation of the difference score = 5 and n=100?The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a α=0.05 level of significance. Give answer to at least 4 decimal places. Hours 48 41 60 55 48 68 53 55 50 49 54 52 What are the correct hypotheses? H0: hours Ha: hours
