Question 1 A recent national survey found that high school students watched an average of 6.8 videos per month. A random sample of 36 high school students revealed that the mean number of vidoes watched last month was 6.2. From past experience it is known that the population standard deviation of the number of vidoes watched by high school students is 0.5. At the 0.05 level of signifiance, can we conclude that high school students are watching fewer vidoes? (a) State the null and alternative hypotheses for this test. (b) Compute the value of the Test Statistic? (c) State the p-value for this test. (d) State the conclusion for the test. Give reasons for your answer.
Question 1
A recent national survey found that high school students watched an average of 6.8 videos per month. A random sample of 36 high school students revealed that the mean number of vidoes watched last month was 6.2. From past experience it is known that the population standard deviation of the number of vidoes watched by high school students is 0.5. At the 0.05 level of signifiance, can we conclude that high school students are watching fewer vidoes?
(a) State the null and alternative hypotheses for this test.
(b) Compute the value of the Test Statistic?
(c) State the p-value for this test.
(d) State the conclusion for the test. Give reasons for your answer.
Question 2
From past records it is known that the average life of a battery used in a digital clock is 305 days. The lives of the batteries are
(a) State the null and alternative hypotheses for this test.
(b) Compute the value of the Test Statistic?
(c) State the critical region for this test.
(d) State the conclusion for the test. Give reasons for your answer.
Question 3
A machine is set to produce no more than 0.07 defectives when properly adjusted. After the machine had been in operation for some time, a sample of one hundred pieces was tested. Twenty defectives pieces were observed. Is there evidence at the 5% level of significance that the machine needs readjustment?
(a) State the null and alternative hypotheses for this test.
(b) Compute the value of the Test Statistic?
(c) State the p-value for this test.
(d) State the conclusion for the test. Give reasons for your answer.
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