Types of Error: A You take a sample of size 36 from a population, and compute the sample mean, which turns out to be 31.5. The standard deviation of the sample is 3. You want to test whether or not the mean mu of the population is 30, so you run this R-code: ttestGC(mean=31.5,sd=3,n=36,mu=30) Your plan is to reject the Null Hypothesis if the P-value is less than 0.05. Unknown to you, the population mean mu is 30.9. Which of the following is correct? Group of answer choices ( ) You made a Type-I Error ( ) You made a Type-II Error ( ) There was no error.
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Types of Error: A
You take a sample of size 36 from a population, and compute the sample
ttestGC(mean=31.5,sd=3,n=36,mu=30)
Your plan is to reject the Null Hypothesis if the P-value is less than 0.05.
Unknown to you, the population mean mu is 30.9.
Which of the following is correct?
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- Please just solve B-1 In order to conduct a hypothesis test for the population mean, a random sample of 14 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 14.6 and 2.0, respectively. (You may find it useful to reference the appropriate table: z table or t table). H0: μ ≤ 13.8 against HA: μ > 13.8 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) a-2. Find the p-value. multiple choice 1 p-value 0.10 p-value < 0.01 0.05 p-value < 0.10 Correct 0.025 p-value < 0.05 0.01 p-value < 0.025 a-3. At the 10% significance level, what is the conclusion? multiple choice 2 Reject H0 since the p-value is less than significance level. Correct Reject H0 since the p-value is greater than significance level. Do not reject…You'd like to test the null hypothesis that the means of the two samples (column A and column B) are the same. The alternative hypothesis is that they are not the same. You have no reason to believe that the standard deviations of the two samples are equal. Test at the alpha = 0.10 level. After using Excel, what do you conclude? Are the means the same?Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (μ₁): n = 15, x=0.45, s=1.02 Reduction in Pain Level After Sham Treatment (2): n = 15, x=0.38, s=1.55 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? OA. Ho H1 H2 oc Hoi HH2 H₁: H1 H2 B. Ho: H1 H2 H₁₁₂ OD. Ho H1 H2 The test statistic, t, is (Round to two decimal places as needed.)
- Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He is about to take Exam B that has a mean of 63 and a standard deviation of 20. How well must Jeremiah score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (μ1): n=29, x=0.58, s=0.95 Reduction in Pain Level After Sham Treatment (μ2): n=29, x=0.48, s=1.56 Question content area bottom Part 1 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? A. H0: μ1≠μ2 H1: μ1<μ2 B. H0: μ1<μ2 H1:…Q 32
- Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (μ1): n=27, x=0.46, s=0.89 Reduction in Pain Level After Sham Treatment (μ2): n=27, x=0.42, s= 1.43 * Find the t stat * Find the p value * state the conclusion * Does the confidence interval support the conclusion of the test * Does it appear that magnets are effective in treating back pain? Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? * Is it valid to argue that magnets might appear to be…(COVID-19 Vaccine Anxiety) A doctor noted the Systolic Blood Pressure (SBP) of a sample of 10 persons among those who were visiting his hospital for injecting COVID-19 Vaccine. He found that the sample mean is 115 mm of Hg with a sample standard deviation of 20 mm of Hg. Later on a nurse found that such two visitors are hiding under beds due to anxiety of COVID-19 Vaccine. Doctor Hiding from the nurse It is well known fact that anxiety doesn't cause long-term high blood pressure. Sometimes an episode of anxiety can cause dramatic increase in your blood pressure, which was the case here. The nurse noted that the visitors are stressed and their SBP are increased to 180 and 194 mm of Hg. Now she wonders: What is the average SBP of all the 12 visitors?E= Over the years, the mean customer satisfaction rating at a local restaurant has been 65. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 65. In a sample of 32 customers chosen at random, the mean customer rating is 76.2. Assume that the population standard deviation of customer ratings is 22.8. Is there enough evidence to support the claim that the mean customer rating is different from 65? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho Aa OA large population of 5,000 students take a practice test to prepare for a standardized test. The population mean is 140 questions correct, and the standard deviation is 80. What size samples should a researcher take to get a distribution of means of the samples with a standard deviation of 10? provide the solution of above questionsResearchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the s Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (u): n=15, x=0.45, s=1.02 Reduction in Pain Level After Sham Treatment (H2): n = 15, x=0.38, s = 1.55 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁₁ 2H2 OC. Ho: HH2 H₁: H₁Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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