(a) The sample has size 10, and it is from a population with a distribution about which we know very little. OZ= -0 -0 Ot= O It is unclear which test statistic to use.
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- 1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?Read the problem below and answer the following questions. 1) What statistical test should be used to solve this problem? 2) State the null and alternative hypotheses for the test. Bicep strength (kg/cm2) was measured in 2 groups of 12 males each (age=18-25). One group received a hormone injection (H) and the other did not (NH). Is mean bicep strength greater in the group receiving the hormone injection? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px A V ...a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) %3D e. The p-value is> va f. Based on this, we should fail to reject vthe null hypothesis. g. Thus, the final conclusion is that ...
- You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 . Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5 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) α greater than α 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 first population mean is not equal to the second population mean. There is not sufficient…3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…A new medication for lowering blood pressure is being tested. Sample 1 has systolic blood pressures for the control group and sample 2 has systolic blood pressures for the experimental group. obs # Sample 1 Sample 2 1 156 154 153 143 155 146 4 151 139 5 157 146 The following questions have to do with a 2-sided test of significance at a=5% to determine if there is a significant difference between the groups. What type of test is this? How many degrees of freedom? What is the absolute value (positive) of the test statistic in step 4 to 2 decimal places? Find the p-value to 4 decimal places. Should you reject the null at 5%? Find the margin of error for a 95% confidence interval on the difference in means to two decimal places. 3.
- Needing help on part 3 and 4 of question 5.The next set of questions refers to the following situation: A study was conducted to determine if the fatality rate depends on the size of the automobile. The analysis of accidents is as follows (with some values hidden): DEATH FREQUENCY | no yes TOTAL m 1 63 1 26 | 89 SIZE S 128 95 I 223 CHI-SQUARE LIKELIHOOD RATIO CHI-SQUARE I 46 I 16 I 62 STATISTICS FOR TABLE OF DEATH BY SIZE STATISTIC DF TOTAL 237 137 374 VALUE 8.663 8.838 PROB ***** *****If you chose the α level of .01, then which of the following p value will allow you to conclude that your result is statistically significant? a. 0.005 b. 0.05 c. 0.10 d. 0.03