Assume that a simple random sample has been selected and test the given claim. 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 16 ug /g. 3.5 5.5 6.0 6.0 20.5 7.0 11.5 21.5 12.0 18.0 O Identify the null and alternative hypotheses for this test. ΟΑ Η με 16 μg /g H = 16 ug /g VB. Ho = 16 ug/g H:u< 16 ug/g OC. Ho = 16 µg/g H,: u# 16 ug/g O D. Ho: u= 16 ug/g H, u> 16 ug/g Identify the value of the test statistic. (Round to two decimal places as needed.) Identify the P-value (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. O A. Fail to reject Ho. There is not sufficient evidence to support the claim that the mean lead concentration for all such medicines is less than 16 ug /g O B. Reject Ho. There is not sufficient evidence to support the claim that the mean lead concentration for all such medicines less than 16 ug/g. OC. Reject Ho. There is sufficient evidence to support the claim that the mean lead concentration for all such medicines is less than 16 ug/g. O D. Fail to reject Ho. There is sufficient evidence to support the claim that the mean lead concentration for all such medicines is less than 16 ug /g.

Assume that a simple random sample has been selected from a normally distributed population.  State the final conclusion.Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23,  and s = 11,500 miles. Use a significance level of α = 0.01.H0: μ = 220,000     HA: μ > 220,000State your conclusion about H0. Choose the best answer below: A. Reject HA B. Do not reject H0 C. Do not reject HA D. Reject H0 E. Cannot draw a conclusion for information given

Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site. Pond 1: 37.03, 37.45, 36.75, 37.54, 37.71, 37.02, 37.32 Pond 2: 38.89, 39.05, 38.51, 38.53, 38.71 Use a 2% significance level to test the claim that the two ponds have the same mean salinity value. Assume that nothing is known about the population distribution of salinities. (a) Enter the rank values in the same order as in the original sample. The rank values for Pond 1 are:   The rank values for Pond 2 are:   (b) The test statistic is:  . (c) The test critical value is:  . (d) The conclusion isA. There is not sufficient evidence to indicate that the two ponds have different distributions of salinity values.B. There is sufficient evidence to indicate that the two ponds have different distributions of salinity values.

Listed below are the number of cricket chirps in 1 min and the corresponding temperatures in degrees Fahrenheit. Is there sufficient evidence to conclude that there is a relationship between the number of cricket chirps in 1 min and the​ temperature? Use a significance level of α=0.05.   Chirps in 1 min 1171 1105 1185 852 1089 950 917 862   Temperature (°F) 78.4 88.2 91.5 86.3 90.2 79.3 83.8 84.4 Determine the null and alternative hypotheses for this test. Find the value of the correlation coefficient. rs=enter your response here ​(Round to three decimal places as​ needed.)   Determine the critical​ value(s) of the correlation coefficient. enter your response here ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

Use the following sample to evaluate H0: μ = 65, at significance level α = 0.05. 53 75 68 53 57 12 4 10 45 94 23 73 9 41 79 92 90 46 49 71 State the correct test and your conclusion. T-test. Reject Ho. T-test. Fail to reject Ho. Z-test. Fail to reject Ho. Z-test. Reject Ho.

Listed below are the number of cricket chirps in 1 min and the corresponding temperatures in degrees Fahrenheit. Is there sufficient evidence to conclude that there is a relationship between the number of cricket chirps in 1 min and the​ temperature? Use a significance level of α=0.05. Chirps in 1 min  1073  977  1186  888  994  1087  970  952 Temperature (F)  75.4  83.6  73.2  69.3  72.7  74.9  90.8  88.7 1. Determine the null and alternative hypotheses for this test. 2. Find the value of the correlation coefficient.   3. Determine the critical​ value(s) of the correlation coefficient.

Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x = 101.02, y = 100.75, r = 0.852, P-value = 0.000, and y = 5.93 + 0.94x, where x represents the IQ score of the husband. Find the best predicted value of y given that the husband has an lQ of 100? Use a significance level of 0.05. %3D Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is Critical values of the pearson correlation coefficient r (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r X = 0.05 a = 0.01 INOTE: To test Ho: p=0 n Jagainst H,: p+0, reject Ho if the absolute value of r is greater than the critical value in the table. 4 0.950 0.990 0.878 0.959 0.811 0.917 7 0.754 0.875 0.707 0.834 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444…