Please explain well and write every details with Z table.

So that i could understand better.

1) The mean weight of 20 randomly selected newborn babies at a local hospital is 7.99 lbs and the standard deviation is 0.2 lbs. Assume the weight of newborn babies has approximately normal distribution.

a) Find the margin of error for the 90% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.)

b) Use information from part (a) to fill in the banks in the following sentence: ________ % of all samples of size __________ have sample means within ________ lbs of the population mean.

c) Find a 90% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.)

d) Does the confidence interval, at 90% level, provide sufficient evidence that the mean weight of a newborn at this hospital is above 6 lbs? Write the appropriate inequality to justify your answer.