A brochure inviting subscriptions for a new diet program states that the participants are expected to lose over 22 pounds in five weeks. The standard deviation of the amount of weight loss is assumed to be 10.2 pounds. The data based on the five- week losses of randomly selected 56 participants gives a sample mean of 23.5 pounds. Can you perform a hypothesis test based on this information? O No. Even if the sample is a random sample and the sample size large, the population must be normally distributes to perform a hypothesis test. O Yes. It is stated that the amount of weight loss are normally distributed and the sample is a random sample. No. Even if the sample is a random sample, the population is not normal and the sample is smal. Also the boxplot of the data looks very skewed. O Yes. The sample is a random sample and even though the population is not normal but the sample size is large enough. Suppose for a sample of size 15, the test statistic value is reported as t= - 1.29. For each of the following alternative hypotheses, find the appropriate p-value. Ho : µ = µo Ha :H 1. Ho Ha: u 0.218 2. 0.891 > Ho : "H Of — тl: OH 0.109 3. Но : и — до Н, : и

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.   A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs.   College A 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4             College B 3.8 3.2 3.0 3.9 3.8 2.5 3.9 2.8 4.0 3.6 2.6 4.0 3.6     Construct a​ 95% confidence interval for μ1−μ2, the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places. ​(Note: x1=​3.1125, x2=​3.4385, s1=​0.4357 s2=0.5485

A researcher would like to evaluate the effectiveness of a pain-relief patch designed for lower back pain. Prior to testing the patch, each of n = 8 patients rates the current level of back pain on a scale from 1 to 10. After wearing the patch for 90 minutes, a second pain rating is recorded. The data are as follows: Include in your responses: A. Compute the mean and variance for the sample of difference scores. B. Provide the Null and alternative hypotheses  C. Calculate SSD

Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -

Use the random sample data to test the claim that the mean travel distance to work in California is less than 35 miles. Use 1% level of significance. Sample data:   x¯=32.4 mi s=8.3 mi n=35   Identify the tail of the test.       Find the P-value        Will the null hypothesis be rejected?      Is the initial claim supported?

An article in a Journal reports that 34% of American fathers take no responsibility for childcare. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 234 fathers from Littleton yielded 96 who did not help with childcare. How many populations? 01 What is the parameter? O Mean O Proportion O Difference between Means O Variance Standard Deviation

A large sample size is needed to show significance in a test of two population standard deviation. O True O False