A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 23 families from a rural area and finds that they have an average income of $69963 with a standard deviation of $769. He then selects 23 families from a urban area and finds that they have an average income of $68783 with a standard deviation of $571. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are:

A large corporation employs 19185 individuals. The average income of all employees is $70616, with a standard deviation of $19414 and is skewed to the right. Consider this to be the population distribution. You are given a data set consisting of the incomes of 120 randomly selected employees.

A study was being conducted to see if people who have no college degree have a lower mean salary than those who do have a college degree. A random sample of 70 people with no college degree was taken and their mean salary was $36,950 with a standard deviation of $4,375. A random sample of 75 people with a college degree was taken and their mean salary was $41,520 with a standard deviation of $3,415. Determine the appropriate formula and calculator function that would be used to test the claim that people with no college degree have a lower mean salary at the α = 0.05 level of significance. d T-Test sa/√n Fo Zo to = 2- SampFTest P1-P₂ 1 1 √p(1-6), + n₁ n₂ (₁-x₂)-(H₁-H₂) 51 $2 + n₁ n₂ 2-PropZTest 2-SampTTest

A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class 1, the mean exam score for 13 students is 75.1 with a standard deviation of 5.8. In Class 2, the mean exam score for 16 students is 82.6 with a standard deviation of 7.3. Test the professor's claim at the 0.02 level of significance. Assume that both populations are approximately normal and that the population variances are equal. Let Class 1 be Population 1 and let Class 2 be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

The College Board reports that the scores on the math SAT were normally distributed with a mean of 525. A random sample of 15 students at your high school had a mean of 550 and a sample standard deviation of 105.   What values of the sample mean would lead to rejection of the null hypothesis at the 0.01 level of significance?

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 -

A school psychologist was interested in whether students in the chess club scored above or below the mean grade point average (GPA) at her school. She calculated the overall average GPA at the school to be 2.55 with a standard deviation of 0.5 and noted that the distribution was approximately normal. She then figured the average for the 30 students in the chess club. Their mean GPA was 2.76. a. Using the five steps of hypothesis testing, was the group of 30 chess club students' GPA different from students in general at this school? (Use the .05 significance level.) Be sure to sketch the distributions involved. Be sure to fully state the five steps and show ALL calculations/work. b. Additionally, explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. (Be sure your explanation includes a discussion of the…

Your answer is partially correct. According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor's degree and were employed earned an average of $1233 a week in 2014. A recent sample of 388 American workers who have a bachelor's degree showed that they earn an average of $1240 per week. Suppose that the population standard deviation of such earnings is $137. a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean weekly earning of American workers who have a bachelor's degree is higher than $1233. Will you reject the null hypothesis at a = 0.005? Round your answer to four decimal places. p-value = i 0.8264 Do not reject Z = b. Test the hypothesis of part a using the critical-value approach and a = 0.005. Ho. Round your answer for the observed value of z to three decimal places. i 0.94

A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class 1, the mean exam score for 12 students is 80.8 with a standard deviation of 5.7. In Class 2, the mean exam score for 14 students is 84.5 with a standard deviation of 4.9. Test the professor's claim at the 0.01 level of significance. Assume that both populations are approximately normal and that the population variances are equal. Let Class 1 be Population 1 and let Class 2 be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.