(b) \(\displaystyle\mu_{{{2}}}\)

(c) \(\displaystyle\mu_{{{1}}}\)

Question

asked 2021-05-19

asked 2021-08-03

\(\begin{array}{|c|c|}\hline Medication\ 1 & Medication\ 2 \\ \hline n_{1}=13 & n_{2}=16 \\ \hline \bar{x}_{1}=20 & \bar{x}_{2}=15 \\ \hline s_{1}^{2}=2.0 & s_{2}^{2}=1.8 \\ \hline \end{array}\)

Find the \(\displaystyle{99}\%\) confidence interval for \(\displaystyle\mu{1}-\mu{2}\), the difference in mean drug recovery times, and INTERPRET it to get a helpful conclusion about the drugs.

Assume normal populations, with equal variances.

asked 2021-07-31

\(\begin{array}{|c|c|}\hline Specimen & Test-1 & Test-2 \\ \hline 1 & 1.2 & 1.4 \\ \hline 2 & 1.6 & 1.7 \\ \hline 3 & 1.5 & 1.5 \\ \hline 4 & 1.4 & 1.3 \\ \hline 5 & 1.8 & 2.0 \\ \hline 6 & 1.8 & 2.1 \\ \hline 7 & 1.4 & 1.7 \\ \hline 8 & 1.5 & 1.6 \\ \hline 9 & 1.4 & 1.5 \\ \hline \end{array}\)

Find the \(\displaystyle{95}\%\) confidence interval for the mean difference of the tests, and explain it.

asked 2021-06-01

(a) What is the value of c\(\displaystyle{c}={1}-\alpha\);. Using the methods, construct a \(\displaystyle{c}={1}-\alpha\); confidence interval for μ from the sample data. What is the value of \(\mu\); given in the null hypothesis (i.e., what is k)? Is this value in the confidence interval? Do we reject or fail to reject \(H_0\) based on this information?

(b) using methods, find the P-value for the hypothesis test. Do we reject or fail to reject \(H_0\)? Compare your result to that of part (a).