Problem
Weight Loss of Newborns An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 35 newborn babies has a mean weight loss of 6.8 ounces. The population standard deviation is 1.3 ounces. Is there enough evidence at $\alpha=0.01$ to support his claim? Assume that the variable is normally distributed. Use the $P$-value method with tables. Part: $0 / 5$ Part 1 of 5 State the hypotheses and identify the claim. \[ \begin{array}{l} H_{0}: \square(\text { (Choose one) } \mathbf{\gamma} \\ H_{1}: \square(\text { (Choose one) } \mathbf{\gamma} \end{array} \] The hypothesis test is a (Choose one) $\mathbf{v}$ test.
Solution
Step 1 ：State the null hypothesis \($H_0\) and the alternative hypothesis \($H_1\)
Step 2 ：Identify the claim
Step 3 ：Determine the type of test
Step 4 ：\(H_{0}: \mu = 7\)
Step 5 ：\(H_{1}: \mu < 7\)
Step 6 ：The hypothesis test is a left-tailed test
Step 7 ：\(\boxed{H_{0}: \mu = 7}\)
Step 8 ：\(\boxed{H_{1}: \mu < 7}\)
Step 9 ：\(\boxed{\text{left-tailed}}\)
