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# Blood pressure for different age groups

Full question attached. I need help to determine the null and alterative hypotheses and when to reject the null. Also I need to know if there is sufficient evidence to support the claim that women in the different categories have different mean blood pressure levels?
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Analysis of variance One-way ANOVA

Systolic Blood Pressure in Different Age Groups: A random sample of 40 women is partitioned into three categories with ages of below 20, 20 through 40, and over 40. (The systolic blood pressure levels listed below). The analysis of variance results from Minitab are below in the table.

SBP Age
104 12
106 16
104 17
92 18
112 19
107 19
97 22
116 23
98 23
95 23
108 23
106 24
108 25
102 25
100 27
94 27
101 29
119 29
113 31
89 31
99 32
107 32
93 32
125 34
104 36
110 37
124 37
115 40
181 40
107 41
123 41
133 45
127 45
114 47
93 48
113 52
114 55
116 56
155 57
105 59

Minitab Output
Source DF SS MS F P
Factor 2 938 469 1.65 0.205
Error 37 10484 283
Total 39 11422

Assume that all variables are normally distributed, that the samples are independent, and that the population variances are equal. At alpha = 0.05

a. State the hypotheses:

Ho :

H1 :

b. State when you would reject the null:

c. Find the test value of the test statistic: The test statistic in the Minitab output is F. F= 1.65

d. Find the p-value: The p-value as labeled in the output is 0.205

e. Make a decision and interpret the decision within the context of the problem (Is there sufficient evidence to support the claim that women in the different categories have different mean blood pressure levels?)

#### Solution Summary

Detailed calculations.

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