A researcher wanted to compare the pulse rates of identical twins to see whether there was any difference. Twelve sets o

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A researcher wanted to compare the pulse rates of identical
twins to see whether there was any difference. Twelve sets of twins
were randomly selected. The rates are given in the table as number
of beats per minute. At α=0.10, is there a
significant difference in the average pulse rates of twins? Assume
the variables are normally distributed. Let The
Difference (D) be Twin A- Twin B
Twin A 92 76
91 93 86
78 87
84 83
85 90
88
Twin B 89 95
84 86 80
86 78
83 83
93 93
79
a) State the hypotheses and identify the claim with the correct
hypothesis.
1.
H0:µD =0 Not
claim
H1:µD ≠0 claim
2.
H0:µD≥ 0 Not
claim
H1:µD <0
claim
3.
H0:µD ≤0 Not
claim
H1:µD >0
claim
b) Find the critical value (s).
1. CV=±1.796
2. CV= ±2.201
3. CV= 1.363
c) Compute the test value:
1.t= 0.135
2. t=0.785
3. t= 0.346
d) Make the decision.
1. Reject the null hypothesis.
2.Do not reject the null hypothesis.
e) Summarize the results.
1. There is enough evidence to support the claim.
2.There is not enough evidence to support the claim.