Determine for the following test of hypothesis, given that u = 371 Ho : u = 42| H1 : µ < 42| For this test, take a = 14 n = 40 and a = 0.0d %3D P(Type II Error) =
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- What is the average value expected for the independent-measures t statistic if the null hypothesis is true? t = 0 t = ±1 t = ±2 t = ±3Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t test to test H: μ = 0 versus H₂: μ> 0 at significance level 0.01. (Use μ = μ₁-₁₂) Fabric 5 6 8 2 3 4 7 55.0 51.1 38.5 43.2 48.8 25.6 49.9 20.0 46.0 34.0 36.5 52.5 26.5 46.5 = U A P-value= 1 36.5 28.5 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value three decimal places.) USE SALT State the conclusion in the problem context. O Reject H. The data suggests a significant mean difference in breaking load for the two fabric load conditions. O Fail to reject H. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. O Fail to reject H. The data suggests a significant mean difference in breaking load for the two fabric load conditions. O Reject H. The data does not suggest a significant mean difference in breaking…The CEO of a popular company claims that the mean response time for customer service calls is 9 minutes. A group of recent customers believes that the mean response time is actually slower than that, meaning it takes more than 9 minutes. The customers wish to conduct a hypothesis test at the a = 0.05 level of significance to determine if their claim that it is slower is correct. Which would be correct hypotheses for such a test? Ho:u = 9, Hị: µ > 9 Ho:4 + 9, Hị: µ = 9 %3D OHo:H < 9, Hị :H = 9 ΘΗ :μ = 9, Η :μ <9 ΘΗ:μ = 9, Η :μέ9 What does the P-value measure? O The power of mind of the statistician who performed the statistical experiment O The probability that the alternate hypothesis is true The probability that the results of a statistical experiment are due only to chance O The probability that the results of an statistical experiment are due to something more significant than chance If the resulting P-value is 0.065, which would be the appropriate conclusion? There is significant…
- Use the information in the table below to answer the question. In = 15 SSXY = 285.2 beta0_hat = 36 SSxx = = 23 beta1_hat = 12.4 S = 7 If we wish to perform a hypothesis test for Ho: B1 = 0 with alpha = 0.05, what critical value from the t-table should be used for the rejection region? 2.718 2.447 1.740 2.160Find the probability of Type-Il error for the following hypothesis given that u = 196: Ho:µ = 200 Η:μ< 200 The significance level is 10%, the population standard deviation is 30, and the sample size is 25. What is the probability of making Type-II error? In Assessment-Assignment, show your solution in detail (using the critical and p- value approach) a) 0.7324 b) 0.5684 c) None of the answers are correct d) 0.4022 e) 0.8012highschool A and B reported the following summary of MCAT scores. Test claim that the applicants of freshmen in school A score higher than their counterparts of freshmen school B. (a) α = 10%, Classical approach, and conclude it (b) p-value to conclude it school A : n=10, X bar=415, S2 = 100, school B : n=7, X bar=410,S2 = 128 standard eRROR ESTIMATE= 15 P-value: t-distribution, we find the p-value is = to 0.1811 for the one-tailed test. P-value 1811> signi. level a=0.05, fail 2reject. .... not significant evidence to conclude that applicants of School A scored higher than applicants of School B.
- Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t test to test Ho: D = 0 versus H₂: μD > 0 at significance level 0.01. (Use HU-HA.) U A 1 36.3 28.5 USE SALT 2 55.0 20.0 3 51.4 46.0 Fabric 8 4 5 38.5 43.2 6 7 48.8 25.6 49.8 34.0 36.0 52.5 26.5 46.5 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. O Reject Ho. The data suggests a significant mean difference in breaking load for the two fabric load conditions. O Reject Ho. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions. O Fail to reject Ho. The data suggests a significant mean difference in…Given the null and allernative hypotheses, sample means, sample sizes, and population standard deviations shown to the right, conduct a hypothesis HA H 20 test using an alpha luvel equal to 0.01 X, = 149 x2- 131 O1 = 11 n, = 55 He H - 20 6= 15 40 Determine the rejection region for the test statistic z. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed) OA. z> OB. 24 or z > OC. z« Calculate the value of thn test statishC 2= (Ruund to two decimal places as nooded.) Since the lust statistic V in the rejuction region, V the null hypothusis. There is V evidence to conclude that the mearı of population 1 is less thari the mean of populalion 2.A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho: µ = 175 millimeters versus H1: µ ± 175 millimeters, using the results of n = 10 samples. %3D v What is the type I error probability if the acceptance region is 155 < š < 195 ? a. Fail to reject Ho. The 10 samples may not be an appropriate samp b.n should be lower than 10 samples v If a = 0.05, would we need to reject the Ho? c. P (155 < x< 195, when µ=156) С. = 0.5628 v Find ß for the case in which the true foam height is 156 millimeters d. Reject Ho е. Р(Туре II Error) %3D 0.5 Find n if the probability of failing to reject a false null hypothesis is set at 0.05. And that the true foam f. height was found to be really 156 millimeters N 2 14 g. P(Type I Error) = 0.00157 %3D h. Probability of committing Type I Error cannot be determined becau given
- t and p-value please. WILL thumbs up if correct.Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α=0.10. Z-Test Z-Test Inpt: Data Stats μ≠80 μ0:80 z=−1.18321596 σ:3.75 p=0.23672357 x:79.25 x=79.25 n:35 n=35 μ: ≠μ0 <μ0 >μ0 Calculate Draw Choose the correct answer below. A. Since the P-value is greaterthan α, fail to reject the null hypothesis. B. Since the P-value is lessthan α, reject the null hypothesis. C. Since the P-value is lessthan α, fail to reject the null hypothesis. D. Since the P-value is greaterthan α, reject he null hypothesis.The Board of Transportation and Safety (BTS) wants to examine the safety mechanisms of A, B, and C-class cars. Samples of 10 cars for each class were used. The board members collect the pressure exerted overall on the driver’s body during an impact test. Assume alpha of 0.05. What is dfbetween = ? What is dfwithin = ? What is the critical test statistic: ? A B C 27 21 48 13 23 39 11 10 22 15 27 30 34 34 31 n(A) = 5 n(B) = 5 n(B) = 5 T(A)=100 T(B)=115 T(C)=170 SS(A)=86 SS(B)=135 SS(C)=151 What is the MSbetween=? What is the MSwithin=? What is the calculated test statistic? Given the values of your critical test statistic and calculated test statistic, do you reject the null?
