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. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) (HI) Do the given data indicate that the population mean RBC count for this patient is lower than 4.80? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Hg: H< 4.8; H: H= 4.8 O Hg: u = 4.8; H, > 4.8 O Hg: H = 4.8; H: u * 4.8 O Hạ: u > 4.8; H2: µ = 4.8 Ο H μ 4.8; Hi: μ< 4.8 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and a is unknown. O The Student's t, since we assume that x has a normal distribution and e is known. O The standard normal, since we assume that x has a normal distribution and a is known. O The Student's t, since we assume that x has a normal distribution and e is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005

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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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be a random variable that repr
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.
count (KBC) in millions or
cubic millimeter or whole blood. Then
Ibution that is
4.9 4.2 4.5 4.1 4.4 4.3
(1) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)
(1I) Do the given data indicate that the population mean RBC count for this patient is lower than 4.80? Use a = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: H < 4.8; H:= 4.8
O Hg: H = 4.8; H: H > 4.8
O Họ: H = 4.8; Hị: µ * 4.8
Ο Hg: μ> 4.8; Η: μ = 4.8
Ο H: μ 4.8; Η: μ < 4.
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The standard normal, since we assume that x has a normal distribution and a is unknown.
O The Student's t, since we assume that x has a normal distribution and a is known.
O The standard normal, since we assume that x has a normal distribution and a is known.
O The Student's t, since we assume that x has a normal distribution and o is unknown.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Estimate the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 < P-value < 0.125
O 0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
Transcribed Image Text:be a random variable that repr 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. count (KBC) in millions or cubic millimeter or whole blood. Then Ibution that is 4.9 4.2 4.5 4.1 4.4 4.3 (1) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) (1I) Do the given data indicate that the population mean RBC count for this patient is lower than 4.80? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H < 4.8; H:= 4.8 O Hg: H = 4.8; H: H > 4.8 O Họ: H = 4.8; Hị: µ * 4.8 Ο Hg: μ> 4.8; Η: μ = 4.8 Ο H: μ 4.8; Η: μ < 4. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and a is unknown. O The Student's t, since we assume that x has a normal distribution and a is known. O The standard normal, since we assume that x has a normal distribution and a is known. O The Student's t, since we assume that x has a normal distribution and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005
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