ACT Scores A survey of 1000 students nationwide showed a mean ACT score of 21.4. A survey of 500 Texas scores showed a mean of 21.3. If the population standard deviation in each case is 3, can we conclude the national average is greater than the Texas average? Use a = 0.01 and use μ₁ for the nationwide mea ACT score. Part: 0 / 5 Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: H₁ H₂ claim H₁ H₁ H₂ not claim This hypothesis test is a one-tailed ▼test. Part: 1/5 Part 2 of 5 Part: 2/5 Part 3 of 5 2 = 11 0.0 X (b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 2.92 X 5 + OO 0=0 14 S (c) Compute the test value. Always round z score values to at least two decimal places. H₂

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ACT Scores A survey of 1000 students nationwide showed a mean ACT score of 21.4. A survey of 500 Texas scores showed a mean of 21.3. If the population
standard deviation in each case is 3, can we conclude the national average is greater than the Texas average? Use a = 0.01 and use u, for the nationwide mean
ACT score.
Part: 0/5
Part 1 of 5
(a) State the hypotheses and identify the claim.
Ho H₁ H₂ claim
H₁ H₁ H₂ not claim
This hypothesis test is a one-tailed
Part: 1/5
Part 2 of 5
Part: 2/5
Part 3 of 5
11
X
Y
..... +
X
S
test.
<
(b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas.
Critical value(s): 2.92
S
☐☐
X
>O
1₂
ローロ
S
(c) Compute the test value. Always round z score values to at least two decimal places.
H₂
Transcribed Image Text:ACT Scores A survey of 1000 students nationwide showed a mean ACT score of 21.4. A survey of 500 Texas scores showed a mean of 21.3. If the population standard deviation in each case is 3, can we conclude the national average is greater than the Texas average? Use a = 0.01 and use u, for the nationwide mean ACT score. Part: 0/5 Part 1 of 5 (a) State the hypotheses and identify the claim. Ho H₁ H₂ claim H₁ H₁ H₂ not claim This hypothesis test is a one-tailed Part: 1/5 Part 2 of 5 Part: 2/5 Part 3 of 5 11 X Y ..... + X S test. < (b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 2.92 S ☐☐ X >O 1₂ ローロ S (c) Compute the test value. Always round z score values to at least two decimal places. H₂
Part 2 of 5
(b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas.
Critical value(s): 2.92
Part: 2/5
Part 3 of 5
Z = 11
Part: 3/5
PLAY
Part 4 of 5
(c) Compute the test value. Always round z score values to at least two decimal places.
X
.
S
X
+
S
(d) Make the decision.
(Choose one) the null hypothesis.
X
S
Transcribed Image Text:Part 2 of 5 (b) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 2.92 Part: 2/5 Part 3 of 5 Z = 11 Part: 3/5 PLAY Part 4 of 5 (c) Compute the test value. Always round z score values to at least two decimal places. X . S X + S (d) Make the decision. (Choose one) the null hypothesis. X S
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