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 0.05 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 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 2 decimal places

Step 3 of 5: Find the p-value associated with the test static. Round your answer to 4 decimal places

Step 4 of 5: Make the decision for the hypothesis test

Step 5 of 5: State the conclusion of the hypothesis test (Sufficient evidence or not enough evidence)

Answer #1

For sample 1 :

x̅1 = 75, σ1 = 6, n1 = 72

For sample 2 :

x̅2 = 72, σ2 = 9, n2 = 81

α = 0.05

1) Null and Alternative hypothesis:

Ho : µ1 = µ2

H1 : µ1 ≠ µ2

2) Test statistic:

z = (x̅1 - x̅2)/√(σ1²/n1 + σ2²/n2 ) = (75 - 72)/√(6²/72 + 9²/81) = 2.4495

3) p-value :

p-value = 2*(1-NORM.S.DIST(ABS(2.4495, 1) = 0.0143

4) Decision:

p-value < α, Reject the null hypothesis

5) Conclusion:

There is enough evidence to conclude that the pulse rate for smokers and non-smokers is different at 0.05 significance level.

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 0.1
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...

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?...

For studying the average pulse rates between three groups of
people: smokers, ex-smokers, and non-smokers, three independent
random samples of male subjects were selected from the three
populations of same age, race, and income level. The data, sitting
pulse rates per minute measured in the morning under a fix
condition, is listed below. Smokers: 88, 82, 80, 75 Ex-smokers: 70,
72, 73, 72 Non-smokers: 68, 70, 70, 75 Which of the following is
correct for multiple comparisons if using 5%...

A medical researcher wants to determine if the average hospital
stay of patients that undergo a certain procedure is greater than
9.1 days. The hypotheses for this scenario are as follows: Null
Hypothesis: μ ≤ 9.1, Alternative Hypothesis: μ > 9.1. If the
researcher takes a random sample of patients and calculates a
p-value of 0.2003 based on the data, what is the appropriate
conclusion? Conclude at the 5% level of significance.
Question 5 options:
1)
The true average hospital...

A medical researcher says that less than 25?% of adults in a
certain country are smokers. In a random sample of 250 adults from
that? country, 18?% say that they are smokers. At =0.05, is there
enough evidence to support the researcher's claim?
1. Stat the null and alternative hypothesis
2. What is the P-Value?
3. What is the Test Statistic?
4. State the conclusion in Text

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 24 minutes ago

asked 42 minutes ago

asked 56 minutes ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago