MATH 399 Week 7 Knewton Homework Assignment; Conduct a Hypothesis Test for Mean - Population Standard Deviation Unknown - Critical Value (Section 9.5)

1. Question: A linguistics expert is interested in learning about the amount of time people in his industry spend studying a new language. A random sample of 15people in his industry were surveyed for a hypothesis test about the mean time people studied a new language last year. He conducts a one-mean hypothesis test, at the 10%significance level, to test the recent publication that the amount of time people in his industry are studying a new language was 30minutes per week. dfdf t0.10t0.10 t0.05t0.05 t0.025t0.025 t0.01t0.01 t0.005t0.005 ......... ... ... ... ... 13131.350 1.771 2.160 2.650 3.012 14141.345 1.761 2.145 2.624 2.997 15151.341 1.753 2.131 2.602 2.947 16161.337 1.746 2.120 2.583 2.921 2. Question: Bruce, a store owner, would like to determine if a new advertising initiative has increased his sales per day compared to last year. He gathers information on 14random sales days and conducts a hypothesis test about the sales revenue during a day using a significance level of 0.5 %. The mean revenue per day prior to the initiative was 650dollars. dfdft0.10t0.10t0.05t0.05t0.025t0.025t0.01t0.01t0.005t0.005 ......... ... ... ... ... 13131.350 1.771 2.160 2.650 3.012 14141.345 1.761 2.145 2.624 2.997 15151.341 1.753 2.131 2.602 2.947 16161.337 1.746 2.120 2.583 2.921 3. Question: Olivia gathered data on the average percentage of tips received by waitstaff in 31restaurants in Chicago. She works through the testing procedure: H0:μ=15; Ha:μ15 α=0.10(significance level) The test statistic is t0=x¯−μ0sn√=−1.16. The critical value is −t0.10=−1.310. Conclude whether to reject or not reject H0. Select two responses below.