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Problem 29

Find the critical value(s) and rejection region(s) for the type of t-test with level of significance \(\alpha\) and sample size \(n\). Two-tailed test, \(\alpha=0.05, n=18\)

Problem 30

Find the critical value(s) and rejection region(s) for the type of t-test with level of significance \(\alpha\) and sample size \(n\). Left-tailed test, \(\alpha=0.025, n=39\)

Problem 32

Find the critical value(s) and rejection region(s) for the type of t-test with level of significance \(\alpha\) and sample size \(n\). Two-tailed test, \(\alpha=0.01, n=20\)

Problem 33

Find the critical value(s) and rejection region(s) for the type of t-test with level of significance \(\alpha\) and sample size \(n\). Left-tailed test, \(\alpha=0.005, n=15\)

Problem 34

Find the critical value(s) and rejection region(s) for the type of t-test with level of significance \(\alpha\) and sample size \(n\). Two-tailed test, \(\alpha=0.02, n=12\)

Problem 35

Test the claim about the population mean \(\mu\) at the level of significance \(\alpha\). Assume the population is normally distributed. Claim: \(\mu>12,700 ; \alpha=0.005\). Sample statistics: \(\bar{x}=12,855, s=248, n=21\)

Problem 36

Test the claim about the population mean \(\mu\) at the level of significance \(\alpha\). Assume the population is normally distributed. Claim: \(\mu \geq 0 ; \alpha=0.10\). Sample statistics: \(\bar{x}=-0.45, s=2.38, n=31\)

Problem 37

Test the claim about the population mean \(\mu\) at the level of significance \(\alpha\). Assume the population is normally distributed. Claim: \(\mu \leq 51 ; \alpha=0.01\). Sample statistics: \(\bar{x}=52, s=2.5, n=40\)

Problem 39

Test the claim about the population mean \(\mu\) at the level of significance \(\alpha\). Assume the population is normally distributed. Claim: \(\mu=195 ; \alpha=0.10\). Sample statistics: \(\bar{x}=190, s=36, n=101\)

Problem 40

Test the claim about the population mean \(\mu\) at the level of significance \(\alpha\). Assume the population is normally distributed. Claim: \(\mu \neq 3,330,000 ; \alpha=0.05\). Sample statistics: \(\bar{x}=3,293,995, s=12,801, n=35\)

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