Question

Boys of a certain age in the nation have an average weight of 86
with a standard deviation of 9.6 lb. A complaint is made that boys
are overfed in a municipal children's home. As evidence, a sample
of 29 boys of the given age is taken from the children's home with
an average weight of 85.14 lb. What can be concluded with α =
0.01?

**a)** What is the appropriate test statistic?

---Select--- na z-test One-Sample t-test Independent-Samples t-test
Related-Samples t-test

Population:

---Select--- children's home boys from the home feeding method boys
in the nation weight

Sample:

---Select--- children's home boys from the home feeding method boys
in the nation weight

**b)** Compute the appropriate test statistic(s) to
make a decision about *H*_{0}.

(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)

critical value = ; test statistic =

Decision: ---Select--- Reject H0 Fail to reject H0

**c)** If appropriate, compute the CI. If not
appropriate, input "na" for both spaces below.

[ , ]

Compute the corresponding effect size(s) and indicate
magnitude(s).

If not appropriate, input and select "na" below.

*d* = ; ---Select--- na trivial effect small
effect medium effect large effect

*r*^{2} = ; ---Select--- na trivial
effect small effect medium effect large effect

**d)** Make an interpretation based on the
results.

The average weight of boys in the municipal children's home was significantly higher than the average weight of boys in the nation.The average weight of boys in the municipal children's home was significantly lower than the average weight of boys in the nation. The average weight of boys in the municipal children's home was not significantly different than the average weight of boys in the nation.

Answer #1

Given the sample size and sample mean , population standard deviation .

Since the population standard deviation is known, we cam use z-distribution.

a) The test to be used is : **One-Sample
z-test**

b)The hypotheses are

The claim is the null hypothesis.

The appropriate test statistic is

The critical value is .

Since the critical value is less than the test statistic, we
**Fail to reject H0**.

c) There is no need of computing the CI since this is a one-tailed test, and we have calculated the test statistic.

NA.

NA

d) The correct choice is

**The average weight of boys in the municipal children's
home was significantly higher than the average weight of boys in
the nation.**

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children are overfed fed in a municipal children's home. As
evidence, a sample of 24 children of the given age is taken from
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concluded with an α of 0.05?
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score of 18.5. What can the sociologist concludes with an α of
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a) What is the appropriate test statistic?
---Select--- na z-test one-sample t-test independent-samples t-test
related-samples t-test
b)
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initial weight
2-month weight
140
141
137
130
140
158
147
145
148
140
150
119
144
141
144
163
146
145
151
144
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---Select--- na z-test One-Sample t-test Independent-Samples t-test
Related-Samples t-test
Also state population and sample from choices below
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an α of 0.01? The data are below.
initial weight
3-month weight
140
117
137
130
140
158
147
145
141
140
150
119
144
141
144
163
146
145
151
144
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106
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98
105
100
132
109
113
98
105
137
115
119
115
127
122
131
124
111
136
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