solve and show work

Example 4: It is well-established that the height of American women is distributed normally with mean 65 inches and standard deviation 3.5 inches. A researcher believes that adult women who grew up in low-income families may not be as tall as average. He samples 20 such women and finds that the mean height is 63 inches. Is there evidence at the 1% level of significance to support the researcher's claim? a) Ho= b) Ha= c) State the distribution used for this hypothesis test. d) p - value = e) Conclusion: f) What would type I error be for this test? g) What would type II error be for this test