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- A magazine reported that at the top 50 business schools in a region, students studied an average of 12.5 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 12.5 hour benchmark. Complete parts (a) through (c) below. Question content area bottom Part 1 a. State the null and alternative hypotheses. Choose the correct answer below. A. H0: α=12.5 H1: β≠12.5 B. H0: α≠12.5 H1: α=12.5 C. H0: α=12.5 H1: α≠12.5 D. H0: μ=12.5 H1: X≠12.5 E. H0: μ≠12.5 H1: X=12.5 F. H0: β≠12.5 H1: β=12.5 G. H0: μ=12.5 H1: μ≠12.5 H. H0: X=12.5 H1: X≠12.5 I. H0: α≠12.5 H1: β=12.5 J. H0: X≠12.5 H1: X=12.5 K. H0: μ≠12.5 H1: μ=12.5 L. H0: β=12.5 H1: β≠For the hypothesis test Ho: = 10 against H₁: <10 and variance known, calculate the P-value for the following test statistic: 20 = -1.81. Round your answer to three decimal places (e.g. 98.765). P-value= Statistical Tables and ChartsWe want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is less than 2.4penalties per game. So, we choose a random sample of games. The sample has a mean of 2.5penalties per game and a standard deviation of 0.8 penalties per game. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 100and it is from a non-normally distributed population with a known standard deviation of 0.69. O Z O T O It is unclear which test statistic to use. (b) The sample has size 18, and it is from a population with a distribution about which we know very little. O Z = O t = O It is unclear which test statistic to use
- In a hypothesis test, if the null hypothesis states that the population mean is equal to 100 with a standard deviation of 15, and the sample mean is 108 with a sample size of 36, what is the calculated z-score for this test?You are a researcher verifying the claim that the average adult consumes 1.7 cups of coffee per day. The population standard deviation is 0.5 cups per day. You sample 30 adults and find the average is 1.85 cups per day. Test the claim above at the alpha = 0.05 significance level. What do you conclude about the number of cups of coffee that adults consume each day? Group of answer choices - You cannot reject the null hypothesis. Even though your sample indicated 1.85 cups, there still is not sufficient evidence to overturn the claim that adults consume 1.7 cups per day. - This is a borderline case where the test statistic and the critical values are the same. We can neither accept nor reject the null hypothesis in this case. - You reject the null hypothesis. With thirty people consuming 1.85 cups on average , there is sufficient evidence to overturn the claim that adults consume 1.7 cups per day.65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
- A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 418 gram setting. Is there sufficient evidence at the 0.05 level that the bags are overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.A sample mean is 137, sample size is 20, and population standard deviation is 14.2 are given. Ho: μ-132, H1: µ#132 and a significance level is 0.05. Use the P-value approach to test the hypothesis. O a. a. z = 2.57; P-value = 0.0101; reject null hypothesis b. z = 0.35; P-value = 0.7263; do not reject null hypothesis O c. z = 1.57; P-value = 0.0582; do not reject null hypothesis O d. z = 1.57; P-value = 0.1164; do not reject null hypothesisA manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 408 gram setting. Is there sufficient evidence at the 0.02 level that the bags are overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.
- Suppose the national average dollar amount for an automobile insurance claim is $670.543. You work for an agency in Michigan and you are interested in whether or not the state average is different from the national average. The hypotheses for this scenario are as follows: Null Hypothesis: μ = 670.543, Alternative Hypothesis: μ ≠ 670.543. A random sample of 27 claims shows an average amount of $668.645 with a standard deviation of $68.6867. What is the test statistic and p-value for this test? Question 8 options: 1) Test Statistic: -0.144, P-Value: 0.44345 2) Test Statistic: -0.144, P-Value: 0.5566 3) Test Statistic: -0.144, P-Value: 1.5566 4) Test Statistic: 0.144, P-Value: 0.8869 5) Test Statistic: -0.144, P-Value: 0.8869The U.S. Postal Service (USPS) is faced with the issue of a large portion of mail (letters and packages) that cannot be delivered because of an illegible or non-existent address. USPS would like to find out if there is any evidence that the proportion of undeliverable mail has significantly decreased since last year when it was 6%. Which of the following are the correct null and alternative hypotheses for this test? Select one: a. Ho: p = 0.06 versus Ha:p> 0.06 b. Ho: p 0.06 ge Next page Moodle Accessibility Specification Coastal Carolina University (CCU) does not discriminate on the basis of race, color, religion, sex, sexual orientation, genc national origin, age, genetic information, mental or physical disability, or status as a disabled or Vietnam-era veteran in it programs, activities or employment practices. For more information related to discrimination, please contact Title IX, Titl office phone 843-349-2382: FEN email eenarnastal adur or thel Dent of Education office for…Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
