Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations
are equal. Use the traditional method or P-value method as indicated.
-Two types of flares are tested and their burning times (in minutes) are recorded. The summary statistics are given below.
$$\begin{array} { l }
{ \text { Brand } X }& { \text { Brand } Y } \
n = 35& n = 40 \
\bar { x } = 19.4 \mathrm {~min} & \bar { x } = 15.1 \mathrm {~min} \
\mathrm {~s} = 1.4 \mathrm {~min} & \mathrm {~s} = 0.8 \mathrm {~min} \
\end{array}$$
Use a 0.05 significance level to test the claim that the two samples are from populations with the same mean. Use the traditional method of hypothesis testing.

Question

Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations
are equal. Use the traditional method or P-value method as indicated.
-Two types of flares are tested and their burning times (in minutes) are recorded. The summary statistics are given below. 
$$\begin{array} { l } 
 { \text { Brand } X }& { \text { Brand } Y } \
n = 35& n = 40 \
\bar { x } = 19.4 \mathrm {~min} & \bar { x } = 15.1 \mathrm {~min} \
\mathrm {~s} = 1.4 \mathrm {~min} & \mathrm {~s} = 0.8 \mathrm {~min} \
\end{array}$$
 Use a 0.05 significance level to test the claim that the two samples are from populations with the same mean. Use the traditional method of hypothesis testing.

Quizplus · Accepted Answer

The Answer of Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations
are equal. Use the traditional method or P-value method as indicated.
-Two types of flares are tested and their burning times (in minutes) are recorded. The summary statistics are given below. 
$$\begin{array} { l } 
 { \text { Brand } X }& { \text { Brand } Y } \
n = 35& n = 40 \
\bar { x } = 19.4 \mathrm {~min} & \bar { x } = 15.1 \mathrm {~min} \
\mathrm {~s} = 1.4 \mathrm {~min} & \mathrm {~s} = 0.8 \mathrm {~min} \
\end{array}$$
 Use a 0.05 significance level to test the claim that the two samples are from populations with the same mean. Use the traditional method of hypothesis testing.

Test the Indicated Claim About the Means of Two Populations