Statistics Chapter 7 Review.

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Presentation transcript:

Statistics Chapter 7 Review

Left-tailed Right-tailed Two-tailed A car maker claims that its new sub-compact car gets better than 49 miles per gallon on the highway. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Left-tailed Right-tailed Two-tailed

The mean age of bus drivers in Chicago is 48. 9 years The mean age of bus drivers in Chicago is 48.9 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? There is not enough evidence to reject the claim. There is sufficient evidence to reject the claim. There is no enough evidence to support the claim. There is sufficient evidence to support the claim.

Find the critical value for a two-tailed test with a α = 0 Find the critical value for a two-tailed test with a α = 0.01 and n = 30. ± 1.645 ± 1.96 ± 2.33 ± 2.575

You wish to test the claim that 47 at a significance level of α= 0 You wish to test the claim that 47 at a significance level of α= 0.01 and are given sample statistics n = 40, mean = 48.8, and s = 4.3. Compute the value of the standardized test statistic. 3.51 1.96 2.12 2.65

Suppose you are using α = 0 Suppose you are using α = 0.01 to test the claim that μ ≤ 40 using a P-value. You are given the sample statistics n = 40, mean = 41.8, and s = 4.3. Find the P-value. 0.0211 0.1030 0.0040 0.9960

Given Ha: μ > 85 and P = 0.006. Do you reject or fail to reject Ho at the 0.01 level of significance? Reject Ho Fail to reject Ho Not sufficient information to decide.

Find the standardized test statistic t for a sample with n = 15, mean = 6.4, and s = 0.8, and α = 0.05 if Ho: μ ≤ 6.1. 1.631 1.312 1.728 1.452

Determine whether the normal sampling distribution can be used Determine whether the normal sampling distribution can be used. The claim is p ≠ 0.300 and the sample size is n = 20. Do not use the normal distribution. Use the normal distribution.

Find the critical χ2-value to test the claim σ2 ≥ 1 Find the critical χ2-value to test the claim σ2 ≥ 1.8 if n = 15 and α = 0.05. 4.660 6.571 5.629 4.075

Compute the standardized test statistic, χ2, to test the claim σ2 > 15.2 if n = 18, s2 = 21.6, and α = 0.01. 24.158 28.175 43.156 33.233