Test the claim about the population mean, µ, at the given level of significance using the given sample statistic Claim: μ#6000; α=0.07; o=389. Sample statistics: x=6200, n = 35 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho μ-6000 Ha: μ#6000 OC. Ho μ#6000 H₂ μ = 6000 *** E. Ho: ²6000 H₂ μ#6000 O B. Ho μ≤6000 Ha μ#6000 O D. Ho μ#6000 Hg: με 6000 OF. Ho #6000 H₂ μ≤6000
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- You wish to test the following claim at a significance level of α=0.001α=0.001. Ho:μ1=μ2 Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 87 77.9 68.6 81.6 75.4 72.3 67.5 71.3 67.8 72.3 74.3 76.8 72.6 77.4 75.2 80 65.5 63.3 77.1 73.9 84.6 71.6 77.2 61.8 74.5 73 72.6 68.3 71.7 67.2 74.3 63.3 74 77.4 87 71.7 70.8 74.7 73 80.2 78 70.9 75.5 68.8 83.9 78.9 72.5 68.3 74.4 74.5 73.9 67.5 74.3 83.9 80.7 75.5 79 89 76.4 76 71.4 82.2 76 69.2 73 77.2 70.7 85.8 65.6 79.8 79.4 72.2 64.3 62.2 76.4 86.8 67.9 69.4 82.2 79.4 73.2 81.7 75 78.6 69.7 65 76.7 67.1 77.4 84.9 68.2 79 84.5 87.4 67.1 71.4 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 (Ha) at a significance level of a = 0.10. H₂:μ₁ = μ₂ H₁: M₁ M₂ You obtain the following two samples of data. Sample #1 97.5 95.3 84.6 95.9 79.9 90.3 85.9 81.6 88.4 92.1 82.1 94.3 69.3 94.8 74.5 83.4 82.1 81.8 92.8 84.1 92.1 98.7 93.9 92.8 78.5 69.3 88 82 85.2 76.3 92.8 85.1 92.4 93.1 90.3 100.5 85.2 87.3 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... Sample #2 100.8 92.8 56.6 107.1 39.3 63.8 53.3 72 93.4 87.2 95.4 97.5 76.1 91 72 84.6 57.5 58.4 102.6 100.8 55.6 59.3 95.4 58.4 81.6 99.9 75.1 76.6 86.6 49.1 72.6 67.6 54.5 107.1 63.1 102.6 67 82.6 76.6 O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to…You wish to test the following claim (HaHa) at a significance level of α=0.02. Ho:μ1=μ2 Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 84.3 84.3 66.6 68.8 52.2 45.5 38.2 43.8 77 63.6 46.3 47.8 72.9 71.1 67.9 100.2 51.6 24.9 97.2 69.7 69.3 60.5 24.9 61 64 85.1 65.8 68.8 49.8 73.4 36.6 63.2 97.2 46.3 40.7 83.5 46.3 68.4 45.5 61 48.5 84.3 43.8 55.4 52.8 60.1 59.6 63.2 44.7 45.5 68.6 66.6 73.3 71.3 67.5 61.4 54 57.6 62.8 56.9 86.8 84.7 81.1 81.5 68.6 69.7 75.2 59.3 67.5 82.6 61.4 64.8 75.7 60.2 78.7 82.6 79.1 64.5 83.9 65.8 74.2 90.6 77.1 64.3 74.5 64.8 77.7 64 86.8 57.6 79.4 81.5 66.8 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 =…
- You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=65.4Ho:μ=65.4 Ha:μ>65.4Ha:μ>65.4You believe the population is normally distributed and you know the standard deviation is σ=7.2σ=7.2. You obtain a sample mean of M=66.3M=66.3 for a sample of size n=63n=63.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 = ____A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 104.3 89.6 89.9 95.6 95.2 90.0 98.8 103.7 98.3 106.4 102.0 91.1 a)Does this data suggest that the population mean reading under these conditions differs from 100? State and test the appropriate hypotheses using =.05. b) Suppose that prior to the experiment, a value of teta=7.5 had been assumed. How many determinations would then have been appropriate to obtain beta=.10 for the alternative u=95 ?You wish to test the following claim (Ha) at a significance level of a = 0.002. H.: µ1 < µ2 You obtain the following two samples of data. H.:µ1 = µ2 93.9 83.5 80.5 103.9 56.1 81.5 95.2 52 75.1 88 63.1 72 81.5 95.2 84.6 66.7 91.4 100.5 84 62 46 61.7 32.7 118.1 58.6 95.7 95.7 65.6 74.7 61.7 84.6 75.2 73.7 56.6 106.2 84 103.1 84.6 98.3 47.8 50.9 80 62.6 76.4 85.1 101 105.5 91.3 92.2 94.8 78.6 62.6 71.6 105.5 75.2 65.6 Sample #1 Sample #2 54.4 69.3 46.1 96.8 88.3 106.9 106.9 123.5 58.6 55.9 32.6 82 81 81 101 69 63.6 60.4 57.3 86.8 66.7 118.1 82.5 101 66.6 93 62.6 57.9 71.1 69.5 94.5 81.5 93.2 123.5 67.9 94.5 100.1 52 66.7 53.1 103.1 114.8 83.5 76.6 60.3 54.2 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? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =
- You wish to test the following claim (Ha) at a significance level of α=0.001 Ho:μ1=μ2Ho Ha:μ1>μ2You obtain the following two samples of data. Sample #1 Sample #2 84.3 71.4 82.2 111.4 70.5 61.3 61.3 95.6 62 87.5 76.1 67.2 74 94.2 68.2 71.9 62.6 76.5 71.4 69.6 72.3 77.3 62 74 77.3 83.9 71.4 96.3 72.7 85.7 92.3 85.7 91.2 65 78.5 62 89 57.3 80.1 78.5 86.6 59.9 47.6 62.6 81.8 62 88.5 90.1 72.7 79.3 91.2 98.9 82.2 55.3 78.9 92.1 62.5 78.6 77.2 59 70.7 67 82.7 64.7 71.9 46.9 76.2 79.3 75.9 78.6 87.3 69.5 93.7 76.9 93.7 65.7 57.3 70.4 65.7 60.9 72.5 48.9 68.3 87.3 59 56.7 75.6 73.1 79 89.8 79.3 43.6 99 64.7 46.9 74.3 67 90.9 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…You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=64.3Ho:μ=64.3 Ha:μ<64.3Ha:μ<64.3You believe the population is normally distributed and you know the standard deviation is σ=5.2σ=5.2. You obtain a sample mean of M=62.2M=62.2 for a sample of size n=46n=46.What is the test statistic for this sample? (Report answer accurate to two 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 mean is less than 64.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.3. The sample data support the claim that the population…1. Given n = 10, E, x? = 100, and = 1, compute the sample standard deviation s. 2. Given n = 100,E, 1? = 10000, and E, x; = 1000, compute the sample variance s². i3D1 i31
- 1. What is the standardized test statistic? t = ___. 2. What is/are the critical value(s)?200 people were randomly sampled and asked what they regularly eat for breakfast or lunch. Each person was identified as either a consumer or a non consumer of high-fiber cereals, and the number of calories consumed at lunch was measured and recorded. These data are summarized below; Consumer of high fiber cereals Non consumer of high fiber cereals η1 =41 η2 = 159 Mean 1 =603 Mean 2 =639 Stanadard deviation 1 = 110 Standard deviation 2 = 141 If the scientist claims that people who eat high fiber cereals for breakfast do consume on average fewer calories for lunch than people who don’t eat high fiber cereals for breakfast, and if it is true, high fiber cereal manufacturer will be able to claim another advantage of eating their products-potential weight reduction for dieter. REQUIRED Are there sufficient evidence at 5% significance level to support the above claim?4. Test the claim about the population mean, μ,at the given level of significance using the given sample statistics. Claim: μ≠6000; α=0.08; σ=399. Sample statistics: x=6300, n=37 Determine the outcome and conclusion of the test. Choose from the following. A. Fail to reject H0. At the 8% significance level, there is not enough evidence to reject the claim. B. Reject H0. At the 8% significance level, there is enough evidence to reject the claim. C. Reject H0. At the 8% significance level, there is enough evidence to support the claim. D. Fail to reject H0. At the 8% significance level, there is not enough evidence to support the claim.