Question
In: Statistics and Probability
A medical researcher compares the pulse rates of smokers and nonsmokers. A sample of 71 smokers...
A medical researcher compares the pulse rates of smokers and nonsmokers. A sample of 71 smokers had a mean pulse rate of 81. A sample of 86 nonsmokers had a mean pulse rate of 77. Assume the standard deviation of the pulse rates is known to be 7 for smokers and 7 for non- smokers. Using these results, conduct a hypothesis test of the conjecture that the true mean pulse rate for smokers is different from the true mean pulse rate for nonsmokers at 0.05 level of significance
Solutions
Expert Solution
This is the problem related to topic " testing of equality of mean of two population". Therefore we are going to make use of t-test for comparing mean because two population have unknown variance.(note: standard deviation of two sample is known)
orchestra answered 2 years agoRelated Solutions
A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that...
A medical researcher wants to compare the pulse rates of smokers
and non-smokers. He believes that the pulse rate for smokers and
non-smokers is different and wants to test this claim at the 0.01
level of significance. The researcher checks 51 smokers and finds
that they have a mean pulse rate of 79, and 58 non-smokers have a
mean pulse rate of 77. The standard deviation of the pulse rates is
found to be 10 for smokers and 8 for...
A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that...
A medical researcher wants to compare the pulse rates of smokers
and non-smokers. He believes that the pulse rate for smokers and
non-smokers is different and wants to test this claim at the 0.05
level of significance. A sample of 52 smokers has a mean pulse rate
of 78, and a sample of 64 non-smokers has a mean pulse rate of 74.
The population standard deviation of the pulse rates is known to be
88 for smokers and 77 for...
A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that...
A medical researcher wants to compare the pulse rates of smokers
and non-smokers. He believes that the pulse rate for smokers and
non-smokers is different and wants to test this claim at the
0.02 level of significance. The researcher checks 79
smokers and finds that they have a mean pulse rate of 87, and 75
non-smokers have a mean pulse rate of 83. The standard deviation of
the pulse rates is found to be 6 for smokers and 6 for non-smokers....
A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that...
A medical researcher wants to compare the pulse rates of smokers
and non-smokers. He believes that the pulse rate for smokers and
non-smokers is different and wants to test this claim at the 0.02
level of significance. A sample of 56 smokers has a mean pulse rate
of 88, and a sample of 39 non-smokers has a mean pulse rate of 86.
The population standard deviation of the pulse rates is known to be
8 for smokers and 8 for...
A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that...
A medical researcher wants to compare the pulse rates of smokers
and non-smokers. He believes that the pulse rate for smokers and
non-smokers is different and wants to test this claim at the 0.01
level of significance. A sample of 75 smokers has a mean pulse rate
of 76, and a sample of 73 non-smokers has a mean pulse rate of 72.
The population standard deviation of the pulse rates is known to be
9 for smokers and 10 for...
A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that...
A medical researcher wants to compare the pulse rates of smokers
and non-smokers. He believes that the pulse rate for smokers and
non-smokers is different and wants to test this claim at the 0.01
level of significance. A sample of 74 smokers has a mean pulse rate
of 87, and a sample of 76 non-smokers has a mean pulse rate of 84.
The population standard deviation of the pulse rates is known to be
8 for smokers and 7 for...
A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that...
A medical researcher wants to compare the pulse rates of smokers
and non-smokers. He believes that the pulse rate for smokers and
non-smokers is different and wants to test this claim at the 0.02
level of significance. A sample of 46 smokers has a mean pulse rate
of 75, and a sample of 47 non-smokers has a mean pulse rate of 73.
The population standard deviation of the pulse rates is known to be
7 for smokers and 10 for...
A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that...
A medical researcher wants to compare the pulse rates of smokers
and non-smokers. He believes that the pulse rate for smokers and
non-smokers is different and wants to test this claim at the 0.05
level of significance. The researcher checks 72 smokers and finds
that they have a mean pulse rate of 75, and 81 non-smokers have a
mean pulse rate of 72. The standard deviation of the pulse rates is
found to be 6 for smokers and 9 for...
A medical researcher wishes to see whether the pulse rate of smokers are higher than the...
A medical researcher wishes to see whether the pulse
rate of smokers are higher than the pulse rates of non-smokers.
Samples of 100 smokers and 100 nonsmokers are selected. The results
are shown below. Can the researcher conclude at an alpha = 0.05,
that smokers have higher pulse rates than nonsmokers? (20
points)
SmokersNon.
Smokers
Mean= 90
b.
Mean = 88
Standard Deviation = 5. Standard Deviation =
6
David Marciano A medical researcher suspects that the pulse rate of smokers is higher than the...
David Marciano
A medical researcher suspects that the pulse rate of smokers is
higher than the pulse rates of non-smokers. Use the sample
statistics to test the researcher’s suspicion at α=0.05
Smokers
Nonsmokers
n1= 100
n2 = 100
1 = 86 bpm
2= 83 bpm
S1=4.8 bpm
S2=5.3 bpm
1
H0:___ Ha:_____ 5.Decision:{Circle
one}Reject H0 or Fail to Reject H0
2
α=______ 6.
P-value _________
3 Critical
Value _________ 7.Statement:___________________________________
___________________________________
4Test
stat______
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