Show work please

Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the running times (in minutes) were obtained. The analysis shows that the sample mean is 162.5 minutes and the sample standard deviation equals 15 minutes. Assume the population of the running times is normally distributed. (SHOW WORK) a. State the null and alternative hypotheses. (1pt) b. Using the critical value approach (i.e., compare t-critical w. t-calculated), test the hypotheses at the 10% level of significance. (1 pt) c. Using the p-value approach (p-value vs. alpha), test the hypothesis at the 10% level of significance. (1 pt) d. Interpret your decision within the context of the problem. (1 pt) e. How would your decision change (if at all), provided the significance level decreases to 2.5%? (1 pt)