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 7.58pounds and a standard deviation of 1.05 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 mean weight of babies being born at the hospital in the last few months from 7.58 pounds.
(a) H0:μ=7.58; Ha:μ≠7.58, which is a two-tailed test
7.5
5.7
10.2
5.8
6.8
5.0
7.3
8.2
7.4
What is the test statistic and p-value?
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