Find each of the following. Enter your answers rounded to at least two decimal places. (z alpha/2) za/2 for the 95% confidence interval za/2 for the 97% confidence interval za/2 for the 90% confidence interval za/2 for the 99% confidence interval za/2 for the 94% confidence interval

Find each of the following. Enter your answers rounded to at least two decimal places. Part 1 of 5 zu for the 99% confidence interval Part 2 of 5 for the 97% confidence interval Z a/2 Z a/2 = Part 3 of 5 z 2 for the 90% confidence interval Zu/2= Part 4 of 5 zu, for the 95% confidence interval Za/2= Part 5 of 5 Z a/2 for the 86% confidence interval

Using R Here we will investigate the “confidence level” of each of the confidence intervals:percentile, normal, basic, and BCa. The confidence level of a confidence interval is the longrun proportion that the interval contains the parameter. So, if we took 100 samples andcomputed a 95% CI that estimates the population mean mu, the intervals should contain it95% (95 out of 100) of the time.1(a).  Simulate samples X of size n=10 from an exponential distribution with rate =1/50. Run a bootstrap procedure to estimate the median. Compute the 4 CI’s mentionedabove. Repeat this 1,000 times and estimate the confidence level of each type of confidenceinterval.1(b).  Are the confidence intervals below or above the confidence level of .95? Whydo you think this is? Explain.1(c).  Repeat this for samples of size n=50.1(d).  Did the confidence level of the intervals change with the sample size? Are theconfidence intervals below or above the confidence level of .95? Why do you think this…

A retrospective study of 100 pairs of twins was performed. The twin pairs each had one male child and one female child. Their birth weights were studied to determine if the male twin was consistently heavier.  The difference in weights was calculated by subtracting the female weight (in ounces) from the male weight (in ounces):  d=xm−xfd=xm-xf  After looking at 100 pairs of twins, the study finds the 95% confidence interval for the mean difference of weights (in ounces) is: 1.9 < μdμd < 6.7 Can we be reasonably sure that the male twins are heavier than the females?   Yes No   Why or why not?