Along with finding a p and q which is listed below.

Using this information, calculate two 95% confidence intervals.

For the first interval you need to calculate a T-confidence interval for the sample population.

You have the mean, standard deviation and the sample size, all you have left to find is the T-critical value and you can calculate the interval.

For the second interval calculate a proportion confidence interval using the proportion of the number of cars that fall below the average.

You have the p, q, and n, all that is left is calculating a Z-critical value,

we have that n=10 and x =6 f.e 6 data points fall below the average) p=x = 6/10=0.6 4=1-p =0.4 P(x)=(xn)*px*qn-x (binomial pdf) hence Now using the above formula we have P(x)=(x10]*0.6x*0.410-x We substitute the values of x =1 to x =10 and create the distribution table below For example P(x=0)=(010)*0.60*0.110=0.0001 P(x=1)=(110)*0.61*0.49=010016 Repeating this to x =10 we have 0.0301 0.0016 09017 0.0106 0 0123 0.0425 0 0646 0.1115 D 1862 9.2007 6 0.2508 06177 0.2160 B 0.1209 D 953 6 0.0403 09840 10 1.0160 1 0000 Now we have p(x