2. A nutritionist suspects that the average person with an income below the poverty level consumes less than the recommended daily allowance (RDA) of 800 mg of calcium. To test this conjecture, the nutritionist records the daily calcium intake in a random sample of 40 people with incomes below the poverty level. The sample mean daily intake is found to be 742.3 mg (sample standard deviation 262.2 mg). Do the data provide sufcient evidence to conclude that the true mean calcium intake of people with incomes below the poverty level is less than the RDA? 4. Repeat problem 2 assuming that the population standard deviation is known to be 262.2 rang. Q.4 Hypotheses: parameter(s) used in the hypotheses: O= Name of the hypothesis test (e.g. one-sample z, one-sample t, etc.): Justification for using this particular test: Test Statistic Computation: Distribution of The Test Statistic Under Ho: P-value Computation: Decision (Circle One): Reject Ho at a= Fail to Reject Ho at a= Conclusion