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Let x be a random variable that represents hemoglobincount (HC) in grams per 100 milliliters of whole blood. Thenx has a distribution that is approximately normal, withpopulation mean of about 14 for healthy adult women. Suppose that afemale patient has taken 10 laboratory blood tests during the pastyear. The HC data sent to the patient's doctor are as follows.

14

18

17

18

14

13

15

16

15

11

(i) Use a calculator with sample mean and standard deviationkeys to find x and s. (Round your answers to twodecimal places.)

x	=
s	=

(ii) Does this information indicate that the population average HCfor this patient is higher than 14? Use α = 0.01.

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: μ = 14; H₁:μ ≠ 14H₀: μ = 14;H₁: μ <14     H₀: μ< 14; H₁: μ =14H₀: μ = 14; H₁:μ > 14H₀: μ > 14;H₁: μ = 14

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

The Student's t, since we assume that x has anormal distribution and σ is unknown.The standard normal,since we assume that x has a normal distribution andσ is unknown.    The Student'st, since we assume that x has a normaldistribution and σ is known.The standard normal, since weassume that x has a normal distribution and σ isknown.

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


(c) Estimate the P-value.

P-value > 0.2500.100 < P-value <0.250    0.050 < P-value <0.1000.010 < P-value < 0.050P-value <0.010

Sketch the sampling distribution and show the area corresponding tothe P-value.