Question

For each of the following situations,
a) (1 pt) What is/are the population(s) in the study?
b) (2 pts) Does the scenario involve 1 or 2 parameters to be
estimated/tested/compared?
c) (3 pts) What is/are the parameter(s) to be estimated/tested/compared?
Be specific and use the appropriate notation.
d) (2 pts) What is/are the variable(s) involved. Is each numerical or
categorical?
e) (1 or 3 pts) Is it most appropriate to create a confidence interval or conduct
a hypothesis test? If a hypothesis test should be conducted, state the
hypotheses.
f) (2 pts) Will the critical value or test statistic be a z-value or t-value?
1. A farmer is wondering if the drought has affected the growth of his tomatoes
and wants to estimate the post-drought mean weight. He takes a random sample
of 40 tomatoes and measures the weight of each.
2. A survey of 1,000 Americans surveyed found that 45% have a will specifying the
handling of their estate after their death and that 64% currently own a home.
The researcher wishes to estimate the difference in the population proportions.
3. In 2000, a sample of 209 people aged 18-30 found that they spent an average of
6.75 hrs/week on the internet. In 2006, a sample of 541 people aged 18-30 spent
an average of 7.34 hrs/week on the internet. Has the average increased?
4. In a random sample of 1,500 patients who were admitted to the hospital this
year for pneumonia, 145 of them were under the age of 18. Three years ago, 12.3%
of pneumonia patients were under the age of 18.

Answer 1

ANSWER::

1-

a) The population of the study is tomatoes

b) It involves only one parameter.

c) mean weight of tomatoes (xbar)

d) The variable is numerical

e) Hypothesis testing would be appropriate in this situation.

H0: drought has no effect on the mean weight of tomatoes

H1: Drought has reduced the mean weight of tomatoes

f) The critical value will be from z- distribution.

2-

a) The population of the study is the residence of America.

b) It involves two-parameters.

c) proportion of American who wish a will after their death and proportion of American who own a house currently (p1 & p2).

d) The variable is categorical

e) The confidence interval would be appropriate in this situation.

f) The critical value will be from z- distribution.

3-

a) The population of the study is people aged 18-30

b) It involves twp parameter.s

c) average time spent on internet for 2000 and 2006 (xbar1 & xbar2)

d) The variable is numerical

e) Hypothesis testing would be appropriate in this situation.

H0: THere is no difference in the average time spent on the internet for 200 and 2006

H0: There is a significant increase in the average time spent on the internet for 200 and 2006

f) The critical value will be from z- distribution.

4-

a) The population of the study is the patients who were admitted for pneumonia.

b) It involves two-parameters.

c) proportion of patients who were below age 18 and admitted for pneumonia in the current year (p2) and three years back (p1).

d) The variable is categorical

e) Hypothesis testing would be appropriate in this situation.

H0: p1 = p2

H0: p1< p2

f) The critical value will be from z- distribution.

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