A survey organization sampled 62 households in a community and found that the mean number of TV sets per household was 3.48. The standard deviation is 1.3. Can you conclude that the mean number of TV sets per household is greater than 3? Use the a = 0.01 level. a. State the null and alternative hypotheses. Ho: ? ✓ ? ✓ H₁: ? ? ✓ b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: AAA -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 -3 -2 -1 0 Critical value(s): + (If there are two critical values, list both values separated by a comma) test + 1 2 3

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A survey organization sampled 62 households in a community and found that the mean number of TV sets
per household was 3.48. The standard deviation is 1.3. Can you conclude that the mean number of TV sets
per household is greater than 3? Use the a = 0.01 level.
a. State the null and alternative hypotheses.
Ho: ? ✓ ? ✓
H₁: ?v ? ✓
b. Find the critical value and sketch the rejection region.
Sketch of Rejection Region:
^^^
-2 -1 0 1 2 3 -3 -2 -1 0
+ + +
-3 -2 -1 0 1
Critical value(s):
(If there are two critical values, list both values separated by a comma)
c. Find the test statistic.
3
d. Find the p-value.
e. Decide: Select an answer Но
+
1
2
3
f. Conclusion: At a = 0.01 significance level, there Select an answer enough evidence to conclude
that the mean number of TV sets per household is greater than 3.
Transcribed Image Text:A survey organization sampled 62 households in a community and found that the mean number of TV sets per household was 3.48. The standard deviation is 1.3. Can you conclude that the mean number of TV sets per household is greater than 3? Use the a = 0.01 level. a. State the null and alternative hypotheses. Ho: ? ✓ ? ✓ H₁: ?v ? ✓ b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: ^^^ -2 -1 0 1 2 3 -3 -2 -1 0 + + + -3 -2 -1 0 1 Critical value(s): (If there are two critical values, list both values separated by a comma) c. Find the test statistic. 3 d. Find the p-value. e. Decide: Select an answer Но + 1 2 3 f. Conclusion: At a = 0.01 significance level, there Select an answer enough evidence to conclude that the mean number of TV sets per household is greater than 3.
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