QUESTION 6 In a law office, the average number of billed hours per day was 145 last year. In the first 65 days of this year, the average number of billed hours per week is 152 with a standard deviation of 45 hours. When testing the hypothesis that the average number of billed hours has increased year this year, the test statistic is 1.77. If the critical value is 1.96, what is your conclusion concerning the null hypothesis? O Reject the null hypothesis O Fail to reject the null hypothesis

As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 45 full-time students, and the sample mean age is 22.3 with a standard deviation of 4.8. You sample 50 part-time students, and the sample mean age is 24.3 with a standard deviation of 5.6. Test the claim using a 2% level of significance. Assume the population standard deviations are unequal and that both populations are normally distributed. Where necessary, round results accurate to 4 decimal places. a. What are the correct hypotheses? Null: Ο Ho: μ = 0 O Ho: ₁ = ₂ Ho: M₁ M₂ Ο Ho: μ = 22.3 Alternative: Ο HA: Mı # με Ο HA: μ. > με HA: ₁2 HA: < 0 Ο HA: μ + 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value = e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the…

According to the American Time Use Survey, the typical American spends 183 minutes per day watching television. A college dean wondered if college students were different. He conducted a survey of 50 college students and found they had a mean of 165 minutes per day with a standard deviation of 72. To test this hypothesis, find P-value and rind to the nearest thousandth. Using the a=0.05, write a conclusion for the hypothesis test for question above, state whether or not you are rejecting hypothesis and what the hypothesis is in words, write a sentence that the researcher could share with colleagues without using technical terms for statistics

Fifty married couples attend a retreat. The ages of the wife and husband in each relationship is subtracted. Of interest is if people tend to marry others within 5 years of each other. The sample average difference was 12.1 years with a standard deviation of 3.4 years. If we conduct a hypothesis test, the distribution to use is   Group of answer choices   Normal Student-t with df = 49 Binomial Student-t with df = 25