Where you live, you can pick up an order from Costco in about 15 minutes by walking. We would like to test whether the average time for a robot delivery differs from this 15 minutes. Assuming the time X for a robot delivery is distributed as _X-N(µ, σ²), and we take a random sample of n=8, we wish to test Ho : μ = 15 US H₁ : µ‡15 at the 5% significance level. We observe n=8, T = 23. 1 and s-14.328 where s is the sample standard deviation. The value of the test statistic and the decision are 1.599, do not reject the null hypothesis 2.36, reject the null hypothesis 0.565, do not reject the null hypothesis 5.523, reject the null hypothesis

A college recently implemented a remote learning platform. They would like to evaluate the effectiveness of this new platform. A random sample of 16 students is selected from a remote course. At the end of the semester, all students take the same final exam which is known to be normally distributed with µ = 80 and σ =12. The average score for the remote students is 76. Are the final exam scores different for students in the remote course? Test with an a = 0.05.

Women are recommended to consume 1790 calories per day. You suspect that the average calorie intake is larger for women at your college. The data for the 11 women who participated in the study is shown below: 2035, 2079, 1842, 1923, 1701, 1889, 1691, 1731, 1730, 2006, 1954 Assuming that the distribution is normal, what can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? p μ  Select an answer = > < ≠         H1:H1:  ? μ p  Select an answer ≠ < = >     The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer accept fail to reject reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean calorie…

A process sampled 20 times with a sample of size 8 resulted in = 29.5 and R = 1.4. Compute the upper and lower control limits for the x chart for this process. (Round your answers to two decimal places.) UCL = LCL = Compute the upper and lower control limits for the R chart for this process. (Round your answers to two decimal places.) UCL = LCL =