Test the consistency of the following values in the analysis of a trivariate distribution : 12 = 0.90, r23 = 0,82, 31 = 0.35.
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A: x (x-xbar)^2 2.5 0.000123 2.9 0.151235 3.1 0.34679 2.3 0.044568 2.3 0.044568 2.2 0.09679…
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A: MaleFemale7689668767787669689584748476769192808889597758686670
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A: We have given that. X~N( μ , ?^2 ) μ =0 , ? =1 Z-score =( x - μ )/?
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- Road Transport Department claims that the mean speed of cars on a highway is 114 km/h. An insurance company took a random sample of 21 cars driven on a highway and found that the test statistic is -2.2913. Can we accept the Road Transport Department's claim at 5% level of significance? (Hint: o unknown)A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.6; 2.8; 3.0; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) (i) Round your answer to two decimal places. x = (rounded to two decimal places)(ii) Round your answer to two decimal places. sx = (rounded to two decimal places)(iii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n − 1 = Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)Suppose you will perform a test to determine whether there is sufficient evidence
- Do men score higher on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male: 65 94 63 85 84 72 79 80 95 79 75 84 Female: 54 60 81 72 65 66 61 77 64 77 Assume both follow a Normal distribution. What can be concluded at the the a= 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer (please enter a decimal) H₁: Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a =…Do men score the same on average compared to women on their statistics finals? Final exam scores of eleven randomly selected male statistics students and thirteen randomly selected female statistics students are shown below. Male: 70 81 94 62 73 84 87 57 92 76 75 Female: 86 48 66 80 46 74 66 67 66 76 82 46 67 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ? v (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? v a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are…A sample of 33 lights in Austin gives an average of 46 cars/min while the city SD=3.4 A sample of 34 Dallas lights give a mean of 44 cars/mim with the city SD=1.4 At the 91% level, do the towns differ? 1. Is the test (A-Left Tailed, B-Right Tailed, C-2-Tailed) (separate with comma if there are 2) 2. Critical Value 3. Test statistic 4. 3-decimal p-Value
- A doctor tests a claim that an average adult above 50 consumes no more than 3-1/2 pills per day. Standard Dev is 0.7. A sample of 45 adults avg 3.72 per day. Test the claim. -Standard Dev of sample mean -Z-score for sample mean -P-ValueA researcher believes that low BMI levels are indicators of eating disorders. He collects BMI of a sample of young adults identified as at risk for eating disorfers to see if their mean BMI is significantly below 18.5 What test would you use and why? (z test, independent t test, single sample t test, paired samples)Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"