Question

1. A university Dean is interested in determining the proportion
of students who receive

some sort of financial aid. Rather than examine the records for all
students, the dean randomly selects

**200** students and finds that **118**
of them are receiving financial aid. By hand, and using formulas
for the

“Margin of Error” (i.e. not calculator confidence interval), find a
**98%** confidence interval to estimate

the true proportion of students on financial aid. (Use 3 decimal
places for proportions.)

2. Using the t-Distribution Tables, find the critical t-value that
corresponds to a **99%**

confidence, with **n =20** .

3. A researcher wishes to estimate the current proportion of the
households with two

or more computers. How large a sample is needed in order to be
**95**% confident that the sample

proportion will not differ from the true population proportion by
more than **4%**? (A previous older

study indicated that **20%** of households had two or
more computers in their household.)

4. The mean replacement time for a random sample of
**12** cd players is **8.6 years** , with
a

standard deviation of **3.9 years** . Construct a
**90%** confidence interval for the population
standard

deviation, . (Assume the data are normally distributed.) (Use 2
decimal places.)

Answer #1

We would be looking at question 1 here :

From standard normal tables, we get:

P(Z < 2.326) = 0.99

Therefore, due to symmetry, we get here:

P( -2.326 < Z < 2.326) = 0.98

The sample proportion here is computed as:

P = x/n = 118/200 = 0.59

Therefore the confidence interval here for the true proportion
is computed as:

**This is the required 98% confidence interval for
proportion here.**

A university dean is interested in determining the proportion of
students who receive some sort of financial aid. Rather than
examine the records for all students, the dean randomly selects 200
students and finds that 118 of them are receiving financial aid.
Use a 98% confidence interval to estimate the true proportion of
students on financial aid.

A university dean is interested in determining the proportion of
students who receive some sort of financial aid. Rather than
examine the records for all students, the dean randomly selects 200
students and finds that 122 of them are receiving financial aid.
Use a 95% confidence interval to estimate the true proportion of
students who receive financial aid.

A university dean is interested in determining the proportion of
students who receive some sort of financial aid. Rather than
examine the records for all students, the dean randomly selects 200
students and finds that 118 of them are receiving financial aid. If
the dean wanted to estimate the proportion of all students
receiving financial aid to within 1% with 98% reliability, how many
students would need to be sampled?
Select one: A. 132 B. 5637 C. 13,133 D. 3177

A university dean is interested in determining the proportion of
students who receive some sort of financial aid. Rather than
examine the records for all students, the dean randomly selects 200
students and finds that 118 of them are receiving financial aid. If
the dean wanted to estimate the proportion of all students
receiving financial aid to within 3% with 99% reliability, how many
students would need to be sampled?
Please show al work on how you got the answer.

1.) A university dean is interested in determining the
proportion of students who receive some sort of financial aid.
Rather than examine the records for all students, the dean
randomly selects 200 students and finds that 118 of them are
receiving financial aid. Use a 95% confidence interval to estimate
the true proportion of students who receive financial aid.
a.) 0.59+/-0.068
b.) 0.59+/-0.005
c.) 0.59+/-0.002
d.)0.59+/-0.474
2.)
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