Let x be a random variable that represents the hemoglobin count (HC) in human blood (measured in grams per milliliter). In healthy adult females, x has an approximately normal distribution with a...

Let x be a random variable that represents the hemoglobin count (HC) in human blood (measured in grams per milliliter). In healthy adult females, x has an approximately normal distribution with a population mean of μ=14.1μ=14.1, and population standard deviation of σ=0.05σ=0.05. Suppose a female patient had 10 blood tests over the past year, and the sample mean HC was determined to be x¯¯¯=15.7x¯=15.7.

1. What is the value of the sample test statistic (z)?

1. What is the P-value of the test?

1. At a significance level of 0.05, what can we conclude about the HC of the female patient?
   We conclude that her HC is  ? higher not higher lower  than the population average.

• Your answers must be accurate to the nearest hundredth.