show all working ! Q#1: IQ scores form a normal distribution with a mean of =104 and a standard deviation of = 11. What is the probability of obtaining a sample mean greater than M = 100? a. for a sample of n = 29 people? b. for a sample of n = 25 people? Q#2: Given the data set below find the following; 45, 34, 65, 20, 15, 25 a. Compute the sample mean b. Compute the sample standard deviation c. Compute the standard error of the mean. For help please click here Q#3: Find the estimated standard error for the sample mean for n = 8 and SS= 5042. Q#4: A medical study followed a sample of 14 heart patients who had received electronic pacemakers. The time (in months) to the first electrical malfunction was recorded as follows: 18, 14, 20, 16, 22, 14, 12, 8, 12, 24, 6, 10, 20, 16 a) Calculate the estimated standard error of the mean b) Determine the critical value of t for alpha equals 0.05 . c) Find the 95% confidence interval for the population mean. Q#5: The researcher recorded the amount of time each bird spent in the plain chamber during a 60-minute session. Suppose the study produced a mean of M = 34.5 minutes on the plain chamber with SS = 210 for a sample of n = 14 birds. Construct the 99% confidence interval to estimate the mean amount of time spent on the plain side for the population of birds. Q#6 Find the t-value that form the boundaries of the critical region for a two-tailed test with alpha equals 0.05 and a sample size of 11