1. Historically the mean nurse-to-patient ratio at top rated cancer care facilities has been 1.6. To test whether it is different now with changes that have occurred in the health care system, the ratios at nine facilities were measured, yielding = = 1.93 and s = 0.50. Perform the relevant test at the 1% level of significance, in the following sequence of steps. Assume that the population of nurse-to-patient ratios is normally distributed. (a) State the null and alternative hypotheses for the test. [2 points] (b) State the formula for the test statistic and compute its value. Justify your answer. [1 points] (c) Construct the rejection region and make a decision. [1 points] (d) State a conclusion about the mean nurse-to-patient ratio at top rated cancer care facilities, based on the test you performed. [2 points]