Red Blood Cell Count: A simple random sample of 300 adult males is taken to measure the red blood cell count (in cells per microliter). Use a significance level of 0.01 to test the claim that the sample has a mean less than the population mean (μ = 5.4 million cells per microliter). Does the sample have a normal distribution? Explain why. Does the result suggest that the male sample has a red blood cell count below 5.4 million cells per microliter? Determine the descriptive statistics of the sample. State the statistical hypotheses: H0 and HA. Determine the α Is this test one or two tailed? What statistical conclusion did you reach regarding the question being evaluated?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 58CR
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Red Blood Cell Count: A simple random sample of 300 adult males is taken to measure the red blood cell count (in cells per microliter). Use a significance level of 0.01 to test the claim that the sample has a mean less than the population mean (μ = 5.4 million cells per microliter).

  1. Does the sample have a normal distribution? Explain why. Does the result suggest that the male sample has a red blood cell count below 5.4 million cells per microliter?
  2. Determine the descriptive statistics of the sample.
  3. State the statistical hypotheses: H0 and HA.
  4. Determine the α
  5. Is this test one or two tailed?
  6. What statistical conclusion did you reach regarding the question being evaluated?
RED
4.80
4.73
4.47
4.32
4.95
3.95
4.68
4.60
4.09
5.47
4.44
4.15
5.07
4.38
5.22
4.22
4.32
4.30
6.34
5.60
4.93
5.18
3.54
4.61
4.22
4.99
5.23
4.01
4.07
5.06
4.30
4.28
4.76
4.14
4.61
4.67
4.36
4.28
4.59
4.77
3.86
5.38
5.03
4.60
4.46
5.06
4.05
4.38
4.01
5.08
5.23
5.36
4.11
4.64
3.76
4.79
5.28
3.86
3.91
4.41
4.04
4.19
4.88
3.90
3.53
5.08
4.67
5.16
4.92
3.74
4.14
4.11
4.59
4.65
3.76
4.57
4.89
4.92
4.75
4.39
4.80
4.22
4.82
4.22
4.76
4.52
3.99
4.43
4.68
3.79
3.82
4.91
4.38
4.92
3.88
4.49
5.05
4.49
5.80
4.13
5.28
5.19
5.26
4.31
4.82
4.59
4.84
4.32
4.35
5.19
3.72
3.97
4.58
5.67
4.53
4.61
4.09
5.22
4.18
4.11
4.53
4.28
4.43
4.41
5.08
4.30
4.35
4.25
4.32
4.84
4.10
5.13
4.45
4.89
3.84
5.10
4.55
4.55
4.43
4.57
4.58
4.36
5.00
4.52
4.86
5.06
4.47
3.93
4.44
4.40
5.19
4.97
4.03
4.18
4.07
4.05
3.63
4.42
4.48
4.57
4.51
4.76
5.28
4.56
4.82
3.68
3.92
3.51
4.27
4.05
4.26
4.82
4.54
4.57
4.11
4.32
4.48
4.09
4.25
5.43
4.59
4.06
3.91
4.94
4.78
4.32
4.47
3.76
4.53
5.13
4.38
4.80
4.31
4.70
5.23
5.68
4.38
3.99
5.22
4.04
4.93
4.45
5.36
3.96
4.62
4.19
4.54
5.05
4.88
4.55
4.10
4.44
4.21
4.60
3.90
4.36
4.05
4.68
5.32
5.32
4.65
3.60
4.14
3.39
3.64
4.24
5.03
4.57
5.03
4.37
4.84
3.64
5.28
4.95
4.91
4.85
4.16
5.08
4.43
5.14
5.51
4.13
4.45
4.35
5.15
4.61
4.59
4.84
5.02
4.73
4.49
5.53
4.28
4.47
4.48
4.10
4.86
5.25
3.97
4.66
3.45
4.61
4.89
4.49
3.72
4.29
3.89
4.69
4.26
4.65
4.49
4.93
4.82
4.20
4.64
4.18
4.44
3.78
5.47
4.23
5.18
5.01
4.44
3.99
4.40
4.43
4.24
5.39
4.77
4.35
5.17
4.98
3.90
4.07
4.00
5.29
4.35
4.07
4.36
5.07

 

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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,