Question

 

1.Use the pulse rates in beats per minute? (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than76 bpm. Use 0.05 significance level.

What are the null and alternative? hypotheses?

What is the test statistic?

What is the P-value?

State the final conclusion that addresses the original claim. Reject or Fail to reject? Is sufficient or not sufficient? Is it greater than, less than or neither of them.

Pulse Rates (bpm)
95
76
100
76
91
101
85
87
74
84
48
73
73
38
95
50
70
75
72
57
42
41
59
85
77
74
46
94
61
72
47
38
76
64
68
98
45
102
88
49
85
60
50
93
80
104
87
54
83
82

2.Among fatal plane crashes that occurred during the past 55 ?years, 132 were due to pilot? error, 86 were due to other human? error, 330 were due to? weather, 141 were due to mechanical? problems, and 620 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation? safety, and can anything be done about? it?

Complete the relative frequency distribution below.

Pilot error ___ %
Other human error ___%

Weather__%

Mechanical problems __%
Sabotage__%

(Round to one decimal place as needed)

Fourteen different? second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings? (mm Hg) are listed below. Use the given data to construct a boxplot and identify the? 5-number summary.
140 128 135 148 120 125 130 130 147 131 134 140 122 150

What would the 5-number summary is _,_,_,_,_ all in mm Hg.

Answer 1

 

1)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: u > 76
Alternative hypothesis: u < 76

Note that these hypotheses constitute a one-tailed test.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE = s / sqrt(n)

S.E = 2.6829
DF = n - 1

D.F = 49
t = (x - u) / SE

t = - 1.31

where s is the standard deviation of the sample, x is the sample mean, u is the hypothesized population mean, and n is the sample size.

The observed sample mean produced a t statistic test statistic of - 1.31.

Thus the P-value in this analysis is 0.095.

Interpret results. Since the P-value (0.095) is greater than the significance level (0.05), we have to accept the null hypothesis.

From the above test we do not have sufficient evidence in the favor of the claim that the mean is less than 76 bpm.