Question

Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly, and Population 2 does not. The data from these two samples is given below:

Population 1: 65, 64, 69, 73, 67, 64, 70

Population 2: 74, 78, 75, 69, 69, 73, 79, 74

Is there evidence, at an α=0.05α=0.05 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? (Assume that the population variances are equal.) Carry out an appropriate hypothesis test, filling in the information requested.

A. The value of the standardized test statistic:

B. The p-value is

D. Your decision for the hypothesis test:

**A.** Reject H1H1.

**B.** Do Not Reject H0H0.

**C.** Do Not Reject H1H1.

**D.** Reject H0H0.

Answer #1

To test,

Ho:1-2=0 v/s H1:1-2<0

# Minitab Output:

Two-Sample T-Test and CI: population 1, population 2

Two-sample T for population 1 vs population 2

N Mean StDev SE Mean

population 1 7 67.43 3.41 1.3

population 2 8 73.88 3.64 1.3

Difference = mu (population 1) - mu (population 2)

Estimate for difference: -6.44643

95% upper bound for difference: -3.20506

T-Test of difference = 0 (vs <): T-Value = -3.52 P-Value = 0.002
DF = 13

Both use Pooled StDev = 3.5365

From above output,

# Test statistic=-3.52

# P value=0.002

Where P value < 0.05 ( alpha level)

# Hence,we reject Ho.

Random samples of resting heart rates are taken from two groups.
Population 1 exercises regularly, and Population 2 does not. The
data from these two samples is given below:
Population 1: 67, 66, 68, 72, 64, 69, 72
Population 2: 71, 71, 76, 69, 72, 70, 74, 77
pop1 <- c( 67, 66, 68, 72, 64, 69, 72 )
pop2 <- c(71, 71, 76, 69, 72, 70, 74, 77)
Is there evidence, at an α=0.055α=0.055 level of significance,
to conclude...

(1 point)
Random samples of resting heart rates are taken from two groups.
Population 1 exercises regularly, and Population 2 does not. The
data from these two samples is given below:
Population 1: 72, 62, 64, 64, 65, 72, 68
Population 2: 72, 74, 69, 71, 69, 72, 68, 68
Is there evidence, at an α=0.065α=0.065 level of significance,
to conclude that there those who exercise regularly have lower
resting heart rates? (Assume that the population variances are
equal.) Carry...

Random samples of resting heart rates are taken from two
groups. Population 1 exercises regularly, and Population 2 does
not. The data from these two samples is given below:
Population 1: 59, 69, 63, 59, 69, 68, 65
Population 2: 73, 69, 71, 76, 75, 68, 71, 69
Is there evidence, at an ?=0.05
α
=
0.05
level of significance, to conclude that there those who
exercise regularly have lower resting heart rates? (Assume that the
population variances are equal.)...

Random samples of resting heart rates are taken from two groups.
Population 1 exercises regularly, and Population 2 does not. The
data from these two samples is given below:
Population 1: 69,69,70,65,69,70,72
Population 2: 74,71,70,69,68,69,75,68
Is there evidence, at an α=0.01 level of significance, to
conclude that there those who exercise regularly have lower resting
heart rates? (Assume that the population variances are equal.)
Carry out an appropriate hypothesis test, filling in the
information requested.
(a) The value of the standardized test...

Random samples of resting heart rates are taken from two groups.
Population 1 exercises regularly, and Population 2 does not. The
data from these two samples is given below:
Population 1: 71, 67, 61, 62, 67, 70, 68
Population 2: 71, 68, 71, 78, 76, 73, 71, 68
Is there evidence, at an α=0.075, level of significance, to
conclude that there those who exercise regularly have lower resting
heart rates? (Assume that the population variances are equal.)
Carry out an...

Given two dependent random samples with the following
results:
Population 1
59
57
77
60
59
64
72
67
Population 2
61
53
84
53
69
74
64
73
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1
entry)−(Population 2 entry). Use a significance level of
α=0.01α=0.01 for the test. Assume that both populations are
normally distributed.
Copy Data
Step 1 of 5:
State...

Two random samples are taken, one from among first-year students
and the other from among fourth-year students at a public
university. Both samples are asked if they favor modifying the
student Honor Code. A summary of the sample sizes and number of
each group answering yes'' are given below:
First-Years (Pop. 1):Fourth-Years (Pop.
2):n1=82,n2=84,x1=47x2=47
Is there evidence, at an α=0.035 level of significance,
to conclude that there is a difference in proportions between
first-years and fourth-years? Carry out an appropriate...

Two random samples are taken, one from among first-year students
and the other from among fourth-year students at a public
university. Both samples are asked if they favor modifying the
student Honor Code. A summary of the sample sizes and number of
each group answering yes'' are given below:
First-Years (Pop. 1): n1=96, x1=49
Fourth-Years (Pop. 2):n2=88, x2=54
Is there evidence, at an α=0.04 level of significance, to
conclude that there is a difference in proportions between
first-years and fourth-years?...

Given two dependent random samples with the following
results:
Population 1
62
60
71
67
63
64
80
65
Population 2
64
54
79
62
72
72
73
75
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry). Use a
significance level of α=0.1 for the test. Assume that both
populations are normally distributed.
Step 1 of 5: State the null and alternative hypotheses for...

1) Independent random samples, each containing 90 observations,
were selected from two populations. The samples from populations 1
and 2 produced 21 and 14 successes, respectively.
Test H0:(p1?p2)=0 against
Ha:(p1?p2)?0. Use
?=0.07.
(a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. We can reject the null hypothesis that
(p1?p2)=0 and accept that
(p1?p2)?0.
B. There is not sufficient evidence to reject the
null hypothesis that (p1?p2)=0.
2)Two random samples are taken, one from among...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 28 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago