A number generator generates numbers between 1 - 100. It is known that the standard deviation of all the numbers generated by this machine is 10.2. A sample of ten such numbers are shown below. 35 45 78 21 79 78 91 54 33 83 If the manufacturer claimed that mean of all the numbers generated is 50, test at 5% significance level whether this is true. You may assume that the numbers generated follow a normally distributed.