(Solved): (1 point) The hemoglobin count \( (\mathrm{HC}) \) in grams per 100 milliliters of whole blood is a ...

(1 point) The hemoglobin count \( (\mathrm{HC}) \) in grams per 100 milliliters of whole blood is approximately normally distributed with population mean 14 for healthy adult women. Suppose a female patient has had 19 laboratory blood tests during the past year. Her average \( \mathrm{HC} \) is \( 14.42 \) with \( s=0.95 \). Is there evidence that her average \( \mathrm{HC} \) is not \( 14 ? \) (a) State the null and alternative hypotheses: (Type "mu" for the symbol \( \mu \), e.g. mu \( >1 \) for the mean is greater than \( 1, \mathbf{m u}<1 \) for the mean is less than 1 , mu \( \operatorname{not}=1 \) for the mean is not equal to 1 ) \( H_{0} \) : \( H_{a} \) : (b) Find the test statistic (give to at least 3 decimal places), \( t= \) (c) Answer the question: Is there evidence that her average \( \mathrm{HC} \) is not 14? (Use a 1\% level of significance) (Type: Yes or No)