Please answer questions 5 6 and 7 dIf barley has been plante

Please answer questions 5, 6, and 7

(d)If barley has been planted on 13.45 million acres what is the models prediction for sorghum?s planted acreage? (e)If the real number for sorghum planted acreage was 17.52 million acres, what is the value of the residual? Problem 5. Two groups of patient have been monitored for their systolic blood pressure as possible side-effect of the new drug tested. One group has been given placebo the other one was on new drug. We run t-test (significance level 95%) to see is there any difference between the groups in their systolic blood pressure. Here is the EXCEL output: (a) What is the Null-Hypothesis? (b) What is the conclusion of the t-test? Problem 6. Below is the Normal Probability Plot of the collected data. Would you say that collected data are from the normal distribution and if yes, what would you estimate the Mean and standard deviation from the plot? Problem 7. We are back to visit our cannibal tribe. You know the one whose height is normally distributed with mean of 165cm and standard deviation of 20cm. This time they caught our friend whom we brought back to see the cannibals. Our friend is going to die unless we can show our statistically oriented chief of the tribe that there is not enough statistical evidence (statistical significance of 95%) to reject the hypothesis that he is a member of the tribe. Our friend was 185cm. What does NHST say? Is our friend of the hook?

Solution

5.   a)    H0:1-2=0

       H1:1-20

      b)   Since p-value for two tailed test (0.0278) is less than 0.05. Reject null hypothesis. There is sufficient evidence to conclude that two groups are significantly different in their systolic blood pressure.

6.   Normal probability plot shows curved pattern. we cannot say that collected data are from normal distribution.

7. by using normalcdf(185,10^99,165,20) = 0.1587. If the height is normally distributed with mean = 165 and sd = 20, there is 15.87% chance (which is not unusual) that a person has height 185 cm or more. so there is sufficient evidence that friend is a member of the tribe.