A hospital administrator noticed a large change in the weight of babies being born at the hospital in the last few months. She randomly selected 10 babies born in the last month. Historically, babies at the hospital have had a mean weight of 7.63 pounds and a standard deviation of 1.02 pounds. To test the weights, the administrator decided to use the historical standard deviation as the population standard deviation. The hospital administrator conducts a one-mean hypothesis at the 5% significance level to test if there has been a change in the weight of babies being born at the hospital in the last few months from 7.63 pounds. (a) H0: μ = 7.63; Ha: μ ≠ 7.63, which is a two-tailed test. (b) z0 = -1.33, p-value is = 0.18 (c) Which of the following are appropriate conclusions for this hypothesis test?
We fail to reject H0.
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average weight of babies at this hospital changed from the historical average of 7.63 pounds.