Let x be a random variable that represents red blood cell count (RBC) in million

Q: Let x be a random variable that represents red blood cell count (RBC) in million

The statistical software output for this problem is: Summary statistics: Hypothesis test results: Hence, a) Level of significance = 0.01 Hypotheses: H0: = 4.8; H1: < 4.8 b) The Student's t, since we assume that x has a normal distribution and is unknown. Sample test statistic = -3.464 c) P - value = 0.0090 Column Mean Std. dev. Data 4.4 0.28284271

ID: 3325870 • Letter: L

Question

Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then xhas a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.80. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows.

(i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)

(ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.80? Use = 0.01.

(a) What is the level of significance?

State the null and alternate hypotheses.

H0: = 4.8; H1: > 4.8H0: = 4.8; H1: < 4.8 H0: < 4.8; H1: = 4.8H0: > 4.8; H1: = 4.8H0: = 4.8; H1: 4.8

(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.

The Student's t, since we assume that x has a normal distribution and is unknown.The Student's t, since we assume that x has a normal distribution and is known. The standard normal, since we assume that x has a normal distribution and is unknown.The standard normal, since we assume that x has a normal distribution and is known.

What is the value of the sample test statistic? (Round your answer to three decimal places.)

(c) Find the P-value. (Round your answer to four decimal places.)

4.9 4.2 4.5 4.1 4.4 4.3

Explanation / Answer

The statistical software output for this problem is:

Summary statistics:

Hypothesis test results:

Hence,

a) Level of significance = 0.01

Hypotheses: H0: = 4.8; H1: < 4.8

b) The Student's t, since we assume that x has a normal distribution and is unknown.

Sample test statistic = -3.464

c) P - value = 0.0090

Column Mean Std. dev. Data 4.4 0.28284271

Navigate

Let x be a random variable that represents assembly times for the Ford Taurus. T

Let x be a random variable that represents red blood cell count (RBC) in million

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.

Let x be a random variable that represents red blood cell count (RBC) in million

Question

Explanation / Answer

Related Questions

Navigate