Welch Two Sample t-test data: Yellowness by Feather t = 1.5832, df = 37.986, p-value = 0.1217 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -1.299296 10.623962 sample estimates: mean in group new mean in group old 143.3000 147.9623 a) From the results above, what is the null hypothesis and what statistical conclusion do you make concerning it?

Sales personnel for Skillings Distributors submit weekly reportslisting the customer contacts made during the week. A sample of  85 weekly reports showed a sample mean of 17.5 customer contacts perweek. The sample standard deviation was 5.6. Provide 90% and 95%confidence intervals for the population mean number of weeklycustomer contacts for the sales personnel.

It is believed that the waiting time for a service has a population mean value of µ =13 minutes. One wants to test whether the population mean is 13 minutes. The waiting time of a sample of 60 services is collected. The significance level alpha is set at 5%. The Excel data analysis results are presented in table 2. Give appropriate null and alternative hypotheses. Null hypothesis H0: µ =13 minutes Alternative hypothesis H1: µ =/13 minutes   Find the p value for this test. The p value: Click or tap here to enter text.   What decision should be made about the hypotheses? Give evidence for your choice. Click or tap here to enter text.   Table 2: One sample t-test results     Variable Mean 14.72 Variance 34.38 Observations 60.00 Hypothesized Mean Difference 0.00 Df 59.00 t Stat 2.27 P(T<=t) one-tail 0.02 t Critical one-tail 1.67 P(T<=t) two-tail 0.04 t Critical two-tail 2.00