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The average weight at birth of babies is µ = 7.7 lbs. with a standard deviation...

The average weight at birth of babies is µ = 7.7 lbs. with a standard deviation of σ = 1.1 lbs. A mother, interested to see whether the babies born in Santa Cruz in September were heavier or lighter than the national average, gathered data from n = 36 babies and found a mean weight of M = 8.9 lbs.

a) Calculate the Z-test value.

b) What are the z-critical values if we want to use an .01 alpha level?

c) What decision regarding the null hypothesis?

d) Calculate a 80% confidence interval for the weight of Santa Cruz babies born in September. Make sure to use the standard error you calculated in the previous question.

e) Calculate the standard error.

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