Chapter 8: Q. 9.98 (page 388)
What is the difference in assumptions between the one-mean and t-test and one mean z- test ?
In one mean z- test ,the population standard deviation is known,but in one mean t- test the population standard deviation is unknown
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Critical Values. In Exercises 21โ24, refer to the information in the given exercise and do the following.
a. Find the critical value(s).
b. Using a significance level of = 0.05, should we reject or should we fail to reject ?
Exercise 19
P-Values. In Exercises 17โ20, do the following:
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the P-value. (See Figure 8-3 on page 364.)
c. Using a significance level of = 0.05, should we reject or should we fail to reject ?
The test statistic of z = 2.01 is obtained when testing the claim that .
Vitamin C and Aspirin A bottle contains a label stating that it contains Spring Valley pills with 500 mg of vitamin C, and another bottle contains a label stating that it contains Bayer pills with 325 mg of aspirin. When testing claims about the mean contents of the pills, which would have more serious implications: rejection of the Spring Valley vitamin C claim or rejection of the Bayer aspirin claim? Is it wise to use the same significance level for hypothesis tests about the mean amount of vitamin C and the mean amount of aspirin?
In Exercises 1โ4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: โShould Americans replace passwords with biometric security (fingerprints, etc)?โ Among the respondents, 53% said โyes.โ We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.
Number and Proportion
a. Identify the actual number of respondents who answered โyes.โ
b. Identify the sample proportion and the symbol used to represent it.
In Exercises 9โ12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).
Exercise 6 โCell Phoneโ
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