Letxbe a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Thenxhas a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of thexdistribution is about4.78. 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.4.94.24.54.14.44.3(i) Use a calculator with sample mean and standard deviation keys to findxands. (Round your answers to two decimal places.)x=s=

(ii) Do the given data indicate that the population mean RBC count for this patient is lower than4.78? Use= 0.05.(a) What is the level of significance?

State the null and alternate hypotheses.

H₀:= 4.78;H₁:< 4.78

H₀:= 4.78;H₁:> 4.78

H₀:< 4.78;H₁:= 4.78

H₀:> 4.78;H₁:= 4.78

H₀:= 4.78;H₁:4.78

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

The Student'st, since we assume thatxhas a normal distribution andis unknown.

The standard normal, since we assume thatxhas a normal distribution andis known.

The Student'st, since we assume thatxhas a normal distribution andis known.

The standard normal, since we assume thatxhas a normal distribution andis unknown.

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

(c) Estimate theP-value.

P-value > 0.250

0.100 <P-value < 0.250

0.050 <P-value < 0.100

0.010 <P-value < 0.050

P-value < 0.010