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According to one study, the average monthly cellphone bill in a State in 2006 was $ 51.67. A market researcher believes that the average monthly cellphone bill is different today, but he was not sure whether the bills have decreased because of new communication technologies, or the bills have increased because of additional cellphone uses. The researcher phones a simple random sample of 14 cellphone users, obtains their monthly cellphone bills, and then calculate the sample mean of their monthly bill as i = $64. 012. Suppose a = $19. 63. Does the sample evidence (in terms of sample data) suggest that mean monthly cell phone bill is different today from $51.67. Use the level of significance value as 0.05. It is assumed that the population of monthly cellphone bills from which the sample is drawn is normally distributed. a. [1.5 points] What are the null Hypothesis, alternate hypothesis, and level of significance ? b. [1 point] Is this test a left-tailed test, or right-tailed test or two-tailed test ? c. [1.5 oints] Check if the followin- needed re-uirements are satisfied or not. Write \"Yes" or \"No\" below. a Is the sample coming from simple random sampling? Is the population from which the sample is drawn normally distributed, or is sample size n 2 30 ? _ a IS #0: the population mean value, provided to us ? d. [2+1+1=4 points] Find the test statistic. Sketch the P value area. Find the P value. Find the test statistic. Sketch the P value area. Find the P value. e. [1 point] Compare the level of significance or with the P value. What is your conclusion? f. [1 point] Interpret your result