Listed below are the lead concentrations in mu ​g/g measured in different traditional medicines. Use a 0.10   significance level to test the claim that the mean lead concentration for all such medicines is less than 20   mu ​g/g. Assume that the sample is a simple random sample.   3.5       15.5       16.5       15       13       12.5       21.5       16.5       22.5       16.5     Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses?     A. Upper H 0 ​: mu greater than20   mu ​g/g Upper H 1 ​: mu less than20   mu ​g/g   B. Upper H 0 ​: mu equals20   mu ​g/g Upper H 1 ​: mu less than20   mu ​g/g   C. Upper H 0 ​: mu equals20   mu ​g/g Upper H 1 ​: mu not equals20   mu ​g/g   D. Upper H 0 ​: mu equals20   mu ​g/g Upper H 1 ​: mu greater than20   mu ​g/g

4. Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 ug/g. Assume that the sample is a simple random sample. 21 14 20.5 4. 11.5 18.5 13.5 13 7 9.5 O Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? CA. H μ= 18 μglg H,p18 ug/g O C. Ho: H>18 ug/g H,: u<18 ug/g Ο D. H9 μ= 18 μgg H,: p#18 ug/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. (1) Ho. There is (2) evidence to conclude that the mean lead concentration for all such medicines is (3) 18 ug/g. (1) O Reject O Fail to reject O sufficient O not sufficient (2) (3) O not O greater than O less than O equal to a le

. A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 3.12               s = 0.59                       n = 9                α = 0.01 H0: µ = 2.85 H1: µ > 2.85 The test statistics is (Round to three decimal places)

You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.      Ho:μ1=μ2Ho:μ1=μ2      Ha:μ1≠μ2Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 50.8 84.4 72.1 78.4 72.9 48.8 87.4 36.1 78.8 51.7 74.7 56.3 65.2 98.6 72.5 72.1 72.9 54.2 69.8 73.4 51.7 68.5 59.4 86.8 48.8 47.6 48.8 85.6 65.2 43.4 76.1 69.8 43.4 69.4 55.6 74.3 108.9 92.4 77.9 46.4 47.6 93.3 60 72.9 74.7 66.6     72 84.3 66.1 75 86.5 96.6 47.1 79.1 75 74.5 82.2 77.8 79.5 70.9 71.5 104.8 88.8 81.7 99.8 89.3 91.2 87.9 111.1 66.1 68 79.5 82.6 61.4 90.7 115.1 106.9 60.4 50.1 85.7 61.4 100.5 105.8 79.1 88.3 73 68.6 57.1 70.9 67.4 42.4 52.3 80.4 88.8 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…

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.      Ho:μ=70.6Ho:μ=70.6      Ha:μ≠70.6Ha:μ≠70.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 113.7 91.9 98.1 112.8 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? (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 not equal to 70.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 70.6. The sample data support the claim that the…

Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.05 significance level, and test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is . (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho: H₁ = H₂ H₁: H1 H₂ O A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have…

65 Listed below are the lead concentrations in ​ug/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 19 ug/g. Assume that the sample is a simple random sample. Determine the test statistic. Determine the p-value. Reject the null hypothesis?  Data: 17.519.521.515.54.53.58.5191918