A gambler wants to determine whether a coin is biased in any way. He obtains a sample of n=16 people and has each person toss the coin a total of 100 times. The number of times out of 100 that the coin lands head up is recorded as the raw score for each person. The gambler calculates a sample mean of M=56 and a sample standard deviation of s=12. He analyzes the data with a one-sample t-test. Please explain how to do it and why. Also, is this one-tailed or two-tailed test.

3 of 3 (d) The third step of hypothesis testing is to get sample data and calculate statistics. Instead of the raw data, you were provided with information in the problem description that will be useful for calculating some statistics. What is the standard error (SM)? (3 points, show your work) (e) What is the calculated value of the t statistic? (3 points, show your work) (f) The fourth step of hypothesis testing is to make a decision. What is your decision about the null hypothesis? What is the reason for your decision? (2 points)