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Sample mean and standard deviation keys

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Could I please get assistance? Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.68. 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.

4.9 4.2 4.5 4.1 4.4 4.3

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

What is x=

and what is s=

Do the given data indicate that the population mean RBC count for this patient is lower than 4.68? Use α = 0.05. (a) What is the level of significance? 0.05

What is the null and alternate hypotheses?

(b) What sampling distribution can be used? Explain

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

(c) Estimate the P-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?

e) Interpret your conclusion in the context of the application.

Reference no: EM132394824

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