Question

(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 out an appropriate hypothesis test, filling in the information requested.

A. The value of the standardized test statistic:

**Note:** For the next part, your answer should use
interval notation. An answer of the form (−∞,a)(−∞,a) is expressed
(-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b,
infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is
expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

D. Your decision for the hypothesis test:

**A.** Reject H1H1.

**B.** Reject H0H0.

**C.** Do Not Reject H0H0.

**D.** Do Not Reject H1H1.

Answer #1

A) test statistics =-2.2256

B) If p value <=0.065 then we reject H0

C) pvalue =0.022

D) B) Reject H0

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...

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...

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...

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...

(1 point) Suppose that we are to conduct the following
hypothesis test:
H0:H1:μμ=>990990H0:μ=990H1:μ>990
Suppose that you also know that σ=240σ=240,
n=80n=80, x¯=1030.8x¯=1030.8, and take
α=0.01α=0.01. Draw the sampling distribution, and use it
to determine each of the following:
A. The value of the standardized test statistic:
Note: For the next part, your answer should use
interval notation. An answer of the form (−∞,a)(−∞,a) is
expressed (-infty, a), an answer of the form (b,∞)(b,∞) is
expressed (b, infty), and an answer...

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=86,n2=83,x1=50x2=58First-Years (Pop.
1):n1=86,x1=50Fourth-Years (Pop. 2):n2=83,x2=58
Is there evidence, at an α=0.065α=0.065 level of significance,
to conclude that there is a difference in proportions between
first-years and fourth-years?...

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?...

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...

A nutrition expert claims that the average American is
overweight. To test his claim, a random sample of 22 Americans was
selected, and the difference between each person's actual weight
and idea weight was calculated. For this data, we have
x¯=18.2x¯=18.2 and s=29.4s=29.4. Is there sufficient evidence to
conclude that the expert's claim is true? Carry out a hypothesis
test at a 4% significance level.
A. The value of the standardized test statistic:
Note: For the next part, your answer...

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