Chapter 8: Q. 9.42 (page 364)
Determine the critical value(s) for a one-mean z-test. For each exercise, draw a graph that illustrates your answer.
A right-tailed test with
Short Answer
The graph drawn is

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Chapter 8: Q. 9.42 (page 364)
Determine the critical value(s) for a one-mean z-test. For each exercise, draw a graph that illustrates your answer.
A right-tailed test with
The graph drawn is

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Testing Hypotheses. In Exercises 13鈥24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.
Earthquake Depths Data Set 21 鈥淓arthquakes鈥 in Appendix B lists earthquake depths, and the summary statistics are n = 600, x = 5.82 km, s = 4.93 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00 km.
Finding Critical t Values When finding critical values, we often need significance levels other than those available in Table A-3. Some computer programs approximate critical t values by calculating where df = n-1, e = 2.718, , and z is the critical z score. Use this approximation to find the critical t score for Exercise 12 鈥淭ornadoes,鈥 using a significance level of 0.05. Compare the results to the critical t score of 1.648 found from technology. Does this approximation appear to work reasonably well?
Identifying and . In Exercises 5鈥8, do the following:
a. Express the original claim in symbolic form.
b. Identify the null and alternative hypotheses.
Online Data Claim: Most adults would erase all of their personal information online if they could. A GFI Software survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could.
Identifying and . In Exercises 5鈥8, do the following:
a. Express the original claim in symbolic form.
b. Identify the null and alternative hypotheses.
Pulse Rates Claim: The standard deviation of pulse rates of adult males is more than 11 bpm. For the random sample of 153 adult males in Data Set 1 鈥淏ody Data鈥 in Appendix B, the pulse rates have a standard deviation of 11.3 bpm.
df If we are using the sample data from Exercise 1 for a t-test of the claim that the population mean is greater than 90sec, What does df denote, and what is its value?
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