We want to determine if the following sample comes from a normal distribution:

105 260 314 400 520 280 270 516 419 520 300 306 115 200 208 420 438 511 708 300 418 110 410 312 360 420 519 702 690 518 310 314 418 316 412 510 700 650 670 612 516 480 490 504 518 460 600 680 692 600

a. Compute the mean and the standard deviation.

b. Compute the test statistic.Hint:divide the distribution into 10 equal intervals.

c. At 95% confidence using the critical value approach, test to determine if the sample comes from a normal population.

d. Compute the pvalue.