Determine B for the following test of hypothesis, given that μ = 47 Hoμ H : μ < 47 = For this test, take σ = = 6, n = 38, and a = = 0.04. P(Type II Error) = 0.9999 41.
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find P(type II error)
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- A company specializes in producing bunkers located in places with extremely cold climates under 0°C. A prototype for a new bunker design using different structure design and materials was tested to have the following average interior temperatures: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05. a.What are the hypothesis statements?Q1. An anthropologist wants to collect data to determine whether the two different cultural groups that occupy an isolated Pacific Island grow to be different heights. The results of his samples of the heights of adult females are as follows Do these samples constitute enough evidence to reject the null hypothesis that the heights of the two groups the same? Set alpha to .05.The effectiveness of a new bug repellent is tested on 1616 subjects for a 10 hour period. (Assume normally distributed population.) Based on the number and location of the bug bites, the percentage of surface area exposed protected from bites was calculated for each of the subjects. The results were as follows: ?⎯⎯⎯=92x¯=92, ?=13 s=13 The new repellent is considered effective if it provides a percent repellency of at least 9090. Using ?=0.05α=0.05, construct a hypothesis test with null hypothesis ?≤90μ≤90 and alternative hypothesis ?>90μ>90 to determine whether the mean repellency of the new bug repellent is greater than 9090 by computing the following: (a) the degree of freedom (b) the test statistic The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that ?≤90μ≤90. Our results do not provide enough evidence that the new bug repellent is effective. B. We can reject the null hypothesis that ?≤90μ≤90. Our results indicate that…
- Which of the following is the correct null hypothesis for a non-directional independent-measures ttest?A. M – μ = 0B. M1 – M2 = 0C. μ1 – μ2 = 0D. M1 – M2 ≠ 0E. μ1 – μ2 ≠ 0The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean μ.u<52 t=-4.479421 p=0.000020 x=51.87 Sx=0.21523 n=55Do you reject H0 at the a=0.10 level of significance? Question 5 options: No YesConsider the following null and alternative hypotheses for testing whether the average GPA of university students is different than 3.2. H0:u = 3.2 Ha:u not= 3.2 In this case, the consequence of Type I error is... a. assuming university students have a GPA equal to 3.2, when in fact it is not equal to 3.2. b. assuming university students have a lower GPA than 3.2, when in fact it is equal to 3.2. c. assuming university students have a higher GPA than 3.2, when in fact it is equal to 3.2. d. assuming university students have a GPA not equal to 3.2, when in fact it is equal to 3.2.
- the following display from a TI-84 plus Calculator presents the results of a hypothesis test for a population mean μ. μ < 57 t = -0.813808 p = 0.209974 x̄ = 56.76 Sx = 2.02180 n= 47 how many degrees of freedom are there? A). 46 B). 47 C).57 D). 48The P-value for a hypothesis test is 0.06. For each of the fol-lowing significance levels, decide whether the null hypothesis should be rejected. a. α = 0.05b. α = 0.10 c. α = 0.06J 1 Consider the hypothesis statement to the right using a=0.01 and the data to the right from two independent samples. A) calcuate the appropriate test statistic and interpret the results b) calculate the p value and interpret the results
- Qa) attached below Qb) attached below Qc) ? (alpha) = ? Qd) ? (beta) = ?Conduct the hypothesis test for H0: µ = 10 versus Ha: µ =/10 (i.e µ is not equal to 10) where x bar = 9.6 and s = 3, n = 50. Use alpha = .01. Explain whether we should reject or accept the null hypothesis.Which of the following hypothesis is appropriate to the given figure?