Question

Consider the following hypothesis test. H0: ?1 - ?2 ? 0 Ha: ?1 - ?2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 60 x?1 = 25.8 x?2 = 22.1 ?1 = 5.1 ?2 = 6 a. What is the value of the test statistic (round to 2 decimals)? 3.20 b. What is the p-value (round to 4 decimals)? Use z-table. Use z-value rounded to 2 decimal places. .0212 c. With ? = .05, what is your hypothesis testing conclusion? p-value is less than or equal to 0.05, reject H0

          Consider the following hypothesis test.
H0: ?1 - ?2 ? 0
Ha: ?1 - ?2 > 0
The following results are for two independent samples taken from the two populations.
Sample 1 Sample 2
n1 = 40 n2 = 60
x?1 = 25.8 x?2 = 22.1
?1 = 5.1 ?2 = 6
a. What is the value of the test statistic (round to 2 decimals)?
3.20
b. What is the p-value (round to 4 decimals)? Use z-table. Use z-value rounded to 2 decimal places.
.0212
c. With ? = .05, what is your hypothesis testing conclusion?
p-value is less than or equal to 0.05, reject H0

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Consider the following hypothesis test.
H0: ?1 - ?2 ? 0
Ha: ?1 - ?2 > 0
The following results are for two independent samples taken from the two populations.
Sample 1 Sample 2
n1 = 40 n2 = 60
x?1 = 25.8 x?2 = 22.1
?1 = 5.1 ?2 = 6
a. What is the value of the test statistic (round to 2 decimals)?
3.20
b. What is the p-value (round to 4 decimals)? Use z-table. Use z-value rounded to 2 decimal places.
.0212
c. With ? = .05, what is your hypothesis testing conclusion?
p-value is less than or equal to 0.05, reject H0

Added by Sara J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

07/20/2023

Step 1

1)^2 + (60 - 1)(6)^2}{40 + 60 - 2}}$$ $$s_p = \sqrt{\frac{39(26.01) + 59(36)}{98}}$$ $$s_p \approx 5.56$$ Now, we can find the standard error of the difference: $$SE = \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}$$ $$SE = \sqrt{\frac{(5.56)^2}{40} + Show more…

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Consider the following hypothesis test: H0: μ1 - μ2 ≤ 0 Ha: μ1 - μ2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 60 x̄1 = 25.8 x̄2 = 22.1 σ1 = 5.1 σ2 = 6 a. What is the value of the test statistic (round to 2 decimals)? 3.20 b. What is the p-value (round to 4 decimals)? Use z-table. Use z-value rounded to 2 decimal places. .0212 c. With α = .05, what is your hypothesis testing conclusion? p-value is less than or equal to 0.05, reject H0

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