Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic milimeter of whole

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Let X Be A Random Variable That Represents Red Blood Cell Count Rbc In Millions Of Cells Per Cubic Milimeter Of Whole 1 (77.33 KiB) Viewed 42 times

Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic milimeter 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 4.72. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the ROC count data sent to the patient's doctor are as follows 4.9 4.2 4.5 4.1 4.4 4.3 A USE SALT Use a calculator with sample mean and standard deviation keys to find and s. (Round your answers to two dedmal places.) (II) Do the given data indicate that the population mean RBC count for this patient is lower than 4.72? Use D.OS. (a) What is the level of significance? State the null and alternate hypotheses. она и - : - 4.72; H> 4.72 OH: < 4.72; H-4.72 OR - 4.72;H< 4.72 OR > 4.72 ;: -4.72 H: -4.72;H: 4.72 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's , since we assume that x has a normal distribution and is nown. The standard norms, since we assume that has a normal distribution and is unknown The Student's t, 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 dedmal places.) (c) Estimate the P-value. O P value 0.250 O 0.100value < 0.250 O 0.050 value 0.100 0.010value<0.050 Opvalue < 0.010 Sketch the sampling distribution and show the area corresponding to the value. ^ (c) 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 a? At the -0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the -0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the -0.05 level, we fail to reflect the null hypothesis and conclude the data are statistically significant. O At the -0.05 level, we fail to reject the nul hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. There is sufficient evidence at the 0.05 level to condude that the population mean REC count for the patient is lower than 4.72. There is insufficient evidence at the 0.05 level to conclude that the population mean RBC count for the patient is lower than 4.72.