1.A federal funding program is available to low-income neighborhoods. To qualify for the funding,a neighborhood must have a mean household income of less than $15,000 per year. Neighborhoodswith mean...

1.A federal funding program is available to low-income neighborhoods. To qualify for the funding,a neighborhood must have a mean household income of less than $15,000 per year. Neighborhoodswith mean annual household income of $15,000 or more do not qualify. Fundingdecisions are based on a sample of residents in the neighborhood. Ahypothesis test with a .02level of significance is conducted. If the funding guidelines call for a maximum probability of.05 of not funding a neighborhood with a mean annual household income of $14,000, whatsample size should be used in the funding decision study? Use s  $4000 as a planning value.2.. H0: µ  120 and Ha: µ  120 are used to test whether a bath soap production process ismeeting the standard output of 120 bars per batch. Use a .05 level of significance for thetest and a planning value of 5 for the standard deviation.a. If the mean output drops to 117 bars per batch, the firm wants to have a 98% chanceof concluding that the standard production output is not being met. How large a sampleshould be selected?b. With your sample size from part (a), what is the probability of concluding that theprocess is operating satisfactorily for each of the following actual mean outputs:117, 118, 119, 121, 122, and 123 bars per batch? That is, what is the probability of aType II error in each case?