MATH 399N Week 7 Knewton Homework Assignment; Conduct a Hypothesis Test for Mean - Population Standard Deviation Unknown - Critical Value-Rejection Region Approach (Section 9.5)
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| Institution | Chamberlain |
| Contributor | Elizabeth Oslen |
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:μ<15
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.
| Instituition / Term | |
| Term | Uploaded 2023 |
| Institution | Chamberlain |
| Contributor | Elizabeth Oslen |
