Question

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 0.1 level of significance. A sample of 76 smokers has a mean pulse rate of 79, and a sample of 62 non-smokers has a mean pulse rate of 76. The population standard deviation of the pulse rates is known to be 7 for smokers and 8 for non-smokers. Let μ1 be the true mean pulse rate for smokers and μ2 be the true mean pulse rate for non-smokers.

Step 1 of 5: State the null and alternative hypotheses for the test.

Step 2 of 5:Compute the value of the test statistic. Round your answer to two decimal places.

Step 3 of 5:Find the p-value associated with the test statistic. Round your answer to four decimal places.

Step 4 of 5:Make the decision for the hypothesis test. (Reject or Fail to Reject Null Hypothesis)

Step 5 of 5:State the conclusion of the hypothesis test. (There is sufficient evidence to support the claim or there is not sufficient evidence...)

Answer #1

Step 1

H0 :- µ1 = µ2

H1 :- µ1 ≠ µ2

Step 2

Test Statistic :-

Z = 2.32

Step 3

P value = P ( Z < 2.3166 ) = 0.0205

Step 4

Reject null hypothesis if P value < α = 0.1 level of
significance

Since 0.0205 < 0.1 ,hence we reject null hypothesis

**Result :- Reject null hypothesis**

Step 5

There is sufficient evidence to support the claim that the pulse rate for smokers and non-smokers is different.

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 72 smokers has a mean pulse rate of 75, and a
sample of 81 non-smokers has a mean pulse rate of 72.
The population standard deviation of the pulse rates is
known to be 6 for smokers and 9 for...

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 72 smokers has a mean pulse rate
of 75, and a sample of 81 non-smokers has a mean pulse rate of 72.
The population standard deviation of the pulse rates is known to be
6 for smokers and 9 for...

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 72 smokers has a mean pulse rate
of 75, and a sample of 81 non-smokers has a mean pulse rate of 72.
The population standard deviation of the pulse rates is known to be
6 for smokers and 9 for...

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
0.050.05 level of significance. A sample of 6565 smokers has a mean
pulse rate of 7878, and a sample of 7878 non-smokers has a mean
pulse rate of 7575. The population standard deviation of the pulse
rates is known to be 1010 for smokers and 88 for...

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
0.050.05 level of significance. A sample of 7777 smokers has a mean
pulse rate of 7979, and a sample of 7979 non-smokers has a mean
pulse rate of 7676. The population standard deviation of the pulse
rates is known to be 99 for smokers and 66 for...

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 35 smokers has a mean pulse rate
of 87, and a sample of 45 non-smokers has a mean pulse rate of 83.
The population standard deviation of the pulse rates is known to be
7 for smokers and 7 for...

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 33 smokers has a mean pulse rate
of 90 and a standard deviation of 5, and a sample of 50 non-smokers
has a mean pulse rate of 86 with a standard deviation of 6. What
conclusion should the researcher claim?...

A technician compares repair costs for two types of microwave
ovens (type I and type II). He believes that the repair cost for
type I ovens is greater than the repair cost for type II ovens. A
sample of 37 type I ovens has a mean repair cost of
$70.68. The population standard deviation for the
repair of type I ovens is known to be $19.05. A
sample of 40 type II ovens has a mean repair cost of $64.02....

8.
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 a 0.10 significance level.
Pulse Rate (bpm)
85
58
65
87
85
98
97
101
74
64
40
99
67
68
100
64
100
68
44
60
61
36
56
96
89
68
40
82
51
44
35
77
72
71
101
79
89...

A study was done on prot and non-pro tests. The results are
shown in the table. Assume that the two samples are independent
simple random samples selected from normally distributed
populations, and do not assume that the population standard
deviations are equal. Complete parts (a) and (b) below. Use a
significance level 0.01 for both parts.
___________________________________________________________________
Pro Non-pro
μ μ1 μ2
n 34 32
x 74.86 83.25
s 10.51 18.27
_______________________________________________...

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