What is the critical value for this test? Report answer accurate to three decimal places. critical value =
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Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…
A: The hypotheses are; This is a lower-tailed test. The level of significance, α is 0.001.
Q: You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ1=μ2…
A: Given data is:
Q: You wish to test the following claim (Ha) at a significance level of α=0.005 Ho:μ1=μ2…
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Q: You wish to test the following claim (HaHa) at a significance level of α=0.005 Ho:μ1=μ2…
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Q: You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.…
A:
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.
Ho:μ1−μ2=0Ho:μ1-μ2=0
Ha:μ1−μ2>0Ha:μ1-μ2>0
You obtain a
You will need to determine whether or not to pool so you will use the correct df.
What is the critical value for this test? Report answer accurate to three decimal places.
critical value =
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- = 3 versus Example: In a two sample test of Ho: ₁-2 H₁₁-23, suppose that the data are normal, m = n and o² = 0 = 84.0. Can we choose m such that the test has level a = 0.01 and 3 = 0.05 at 1₁ - ₂ : 5.0? This question concerns experimental design.To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.You wish to test the following claim (Ha) at a significance level of a = 0.10. H.: µ1 – µ2 = 0 Ha: µ1 – µ2 > 0 You obtain a sample of size nị the first population. You obtain a sample of size of s2 = 54.9 and a standard deviation of s1 = 78 with a mean of 2 65 with a mean of x1 17.1 from 46.7 and a standard deviation n2 7.2 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical value
- You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1>μ2You obtain the following two samples of data. Sample #1 Sample #2 51.6 63.2 60 52.9 54.9 55.6 57.9 61.4 48.8 54.4 49.8 60.6 46 65.7 54.4 62.9 62 52 64.3 50.6 72.3 53.6 65 59.3 55.4 66.6 57.9 54 52.7 46.6 57.1 59.3 56.9 50.9 52.7 50.1 58.9 52 50.6 48.4 53.1 54.4 54.9 58.9 60.9 58.4 66.2 55.7 63.7 57.1 57.9 54 57.9 67.2 52.2 56.7 66.2 50.1 61.1 56.7 25.1 55.1 37 27.3 44 22.4 30 30 46.9 38.5 60.8 50.9 40.5 66.3 32.9 69.5 43.6 30.8 40.5 75.4 31.5 53.8 73.9 53.4 25.1 32.2 69.5 38.5 36.5 60.3 43.1 40.5 15.8 48.9 56 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The…You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 41.9 43.9 54.4 59.3 65.1 75.1 47.8 53.5 49.7 66.3 62.1 49.1 28.1 42.8 56.4 43.6 35.6 38.1 38.1 58.2 40.2 42.8 57.1 53.5 64 48.4 28.1 28.1 51.3 54.4 44.7 61.3 41.1 51.3 51.3 66.3 75.1 47.5 60.4 48.4 34.8 37.5 54.4 39.2 43.2 55.1 33.2 34 61.7 57.4 36.3 50.3 37.5 40.6 41.1 60.8 56.8 61.3 42.3 40.7 45.1 53.6 40 56.2 42.8 50.4 57.4 53.4 60.7 61 68.1 55.6 55.1 53.6 49.9 53.2 65.7 49.5 52.8 45.4 54.5 58.9 58.9 50.8 60.1 54.3 66.4 56.2 51.3 53.4 52.3 52.3 64.6 53.4 53.6 55.8 64.1 46.6 57.9 48 59.8 58.9 64.6 54.1 47.7 63.6 59.5 54.7 50.6 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the…You wish to test the following claim (Ha) at a significance level of α=0.10 Ho:μ1=μ2 Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 69.2 62.6 86.1 59.8 63.9 51.2 58.5 70.6 64.5 44.2 57.1 75 73.6 62.6 61.7 57.1 67.1 77.3 64.8 58.8 68.1 60.1 72.7 74 81 55.7 68.8 69.9 36.9 66.4 56.8 63.9 52.5 50.7 80.2 67.1 63.5 60.4 58.1 43.2 51.6 70.6 86.1 60.7 62 77.9 52.9 61 60.4 73.6 68.8 51.6 69.9 50.2 67.8 56.6 73.3 61 47.7 55.7 58.6 73.3 51.7 64.7 54.7 59.6 59.3 55.4 26 42.1 76.1 43.7 38.7 63.5 48.5 49.6 65.1 70.5 68.8 65.5 42.1 44.2 63.1 46.9 56.3 47.7 34.8 66.9 86 31.7 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The p-value is... less than…
- You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ=64.9Ho:μ=64.9 Ha:μ>64.9Ha:μ>64.9 You obtain a sample of size n=301n=301 with mean ¯x=68.2x¯=68.2 and a standard deviation of s=20.5s=20.5. What is the test statistic for this sample? test statistic = Round to 3 decimal places What is the p-value for this sample? p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 64.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 64.9. The sample data support the claim that the population mean is greater than 64.9. There is not sufficient sample evidence to support the…You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=63.1Ho:μ=63.1 Ha:μ>63.1Ha:μ>63.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=381n=381 with a mean of M=66.3M=66.3 and a standard deviation of SD=18.6SD=18.6.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 63.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is…You wish to test Ho: Md = 0 versus Ha:μd 0 at a significance level of 0.10. For the context of this problem, d = μ₂ μ₁ where the first data set represents a pre-test and the second data set represents a post-test. You obtain pre-test and post-test samples for na 25 subjects. The average difference (post-pre) is d 7 with a standard deviation of the differences of sd = 11.6. = Round your answers to three decimal places, and round any interim calculations to four decimal places. What is the test statistic? =
- You wish to test the following claim (Ha) at a significance level of α=0.10. Ho:μ1=μ2 Ha:μ1<μ2 You obtain a sample of size n1=21 with a mean of M1=72.5 and a standard deviation of SD1=18.7 from the first population. You obtain a sample of size n2=22 with a mean of M2=76.2 and a standard deviation of SD2=15.8 from the second population. Use the Theory-based inference applet to conduct the test of significance. (a) What is the t-score for this sample? t-score = (Round to 2 decimal places.) (b) What is the p-value for this sample? p-value = (Round to 4 decimal places.) (c) The p-value is... less than (or equal to) α greater than α (d) This p-value leads to a decision to... strong evidence to support the alternative accept the null null is plausible (e) As such, the final conclusion is that... We conclude that μ1<μ2 . We conclude that μ1=μ2 . We have statistically significant evidence to support the claim that μ1<μ2 ..…You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=73.1Ho:μ=73.1 Ha:μ>73.1Ha:μ>73.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=223n=223 with mean M=74M=74 and a standard deviation of SD=5.2SD=5.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population means is greater than 73.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 73.1. The sample data support…You wish to test the following claim (Ha) at a significance level of α=0.02. For the context of this problem, μd=PostTest−PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ1 and μ2 are so that the differences are computed correctly.) Ho:μd=0 Ha:μd≠0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 47.4 53.9 48.9 79.6 52.1 23 47.5 56 48.3 7.5 48.3 127.2 52.8 75.8 52.9 -12.4 56.1 108.4 52.9 78.1 48.7 27.3 40.6 53.2 50.3 49.4 56.1 38.8 61.6 115.6 What is the test statistic for this sample?test statistic = (Report answer accurate to 4 decimal places.)What is the p-value for this sample?p-value = (Report answer accurate to 4 decimal…