Let x be a random variable that represents hemoglobin count

Last updated: 2/13/2024

Let x be a random variable that represents hemoglobin count HC in grams per 100 milliliters of whole blood Then x has a distribution that is approximately normal with population mean of about 14 for healthy adult women Suppose that a female patient has taken 10 laboratory blood tests during the past year The HC data sent to the patient s doctor are as follows 14 17 16 19 14 12 15 16 15 12 S LUSE SALT a Use a calculator with sample mean and standard deviation keys to find x and s in grams per 100 ml Round your standard deviation to four decimal places x 15 g 100 ml x 9 100 ml b Does this information indicate that the population average HC for this patient is higher than 14 Use a 0 01 1 What is the level of significance 0 01 State the null and alternate hypotheses in grams per 100 ml Enter for as needed Hoi A 14 H 14 ii What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution and a is known We ll use the standard normal since we assume that x has a normal distribution and a is unknown We ll use the Student s t since we assume that x has a normal distribution and is unknown We ll use the Student s t since we assume that x has a normal distribution and a is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places