Question

The makers of a soft drink want to identify the average age of
its consumers. A sample of 16 consumers is taken. The average age
in the **sample** was 22.5 years with a standard
deviation of 5 years. Assume the population of consumer ages is
normally distributed.

a.Construct a 95% confidence interval for the average age of all the consumers.

b.Construct an 80% confidence interval for the average age of all the consumers.

c.Discuss why the 95% and 80% confidence intervals are different.

d.Interpret the confidence interval estimate that you constructed in part d.

Answer #1

Consider a vending machine that is supposed to dispense eight
ounces of soft drink. A random sample of 20 cups taken over a
one-week period had an average of 7.845 ounces, and a standard
deviation of 0.1986. Estimate a 95% confidence interval of the true
mean dispensed by the machine and interpret (in a sentence) what it
means.

A random sample of 36 staff members at a local hospital showed
an average age of 25 years. Ages of the staff at the hospital are
normally distributed with a population standard deviation of 1.8
years. The 98% confidence interval for the average age of all
hospital staff is
a)
24.385 to 25.615
b)
23.200 to 26.800
c)
24.301 to 25.699
d)
23.236 to 26.764

The king of a large castle would like to estimate the average
age of knights currently enrolled. Previous studies show a standard
deviation of 2 years in knight ages.
a. If in a random sample of 25 knights at the castle, the
average age x was found to be 23.2 years old, find a 95% confidence
interval for the average age of all knights at the castle.
b. If the king wanted a 95% confidence interval for the average
knight...

A soft-drink machine is regulated so that it discharges an
average of 6.6 ounces per cup. The amount of drink is normally
distributed with a standard deviation equal to 0.5 ounces.
Part 1: (3 points ) What is the probability that a
cup will contain more than 7.54 ounces?
Part 2: (3 points ) What is the probability that a cup
contains between 6.54 and 7.06 ounces?
Part 3: (4 points ) Suppose we want to regulate this machine so
that only...

(plz type the answer)
8.24 Soft drink consumption in New Zealand. A survey
commissioned by the Southern Cross Healthcare Group reported that
16% of New Zealanders consume five or more servings of soft drinks
per week. The data were obtained by an online survey of 2006
randomly selected New Zealanders over 15 years of age.9
(a) What number of survey respondents reported that they consume
five or more servings of soft drinks per week? You will need to
round your...

A college admissions director wishes to estimate the mean age of
all students currently enrolled. The age of a random sample of 23
students is given below. Assume the ages are approximately normally
distributed. Use Excel to construct a 90% confidence interval for
the population mean age. Round your answers to two decimal places
and use increasing order.
Age
25.8
22.2
22.5
22.8
24.6
24.0
22.6
23.6
22.8
23.1
21.5
21.4
22.5
24.5
21.5
22.5
20.5
23.0
25.1
25.2
23.8...

Suppose you want to know if the average age of CEO’s at fortune
500 companies has increased in recent years. In 2010 you took a
sample of 30 CEO’s and find their average age is 47 with a sample
variance of s 2 2 = 36. In 2016 you took a sample of 25 CEO’s and
find their average age is 50 with a sample variance of S 1 2 = 25.
Assume the degrees of freedom is 42
What...

Suppose we want to estimate the 90% confidence interval of
difference between mean age of university students in Minnesota and
Wisconsin. For this we took a random sample of 10 students from
Minnesota and another sample of 15 students are taken from
Wisconsin. Suppose we found mean age of Minnesota students 23 years
with sample standard deviation 2.3 years. also we found mean age of
Wisconsin students 22.5 years with sample standard deviation 1.6
years. What is the critical value...

Show ALL work neatly, Need it ASAP, Will UPVOTE for sure
A soft-drink machine is regulated so that it discharges an
average of 6.5 ounces per cup. The amount of drink is normally
distributed with a standard deviation equal to 0.6 ounces,
Part 1: (3 points ) What is the probability
that a cup will contain more than 7.45 ounces?
Part 2: (3 points ) What is the probability
that a cup contains between 6.45 and 7.06 ounces?
Part 3: (4 points ) Suppose...

You want to estimate the average starting salary of San Jose
graduates. You call a random sample
of 200 students who graduated in the last two years. After
collecting the data, you are about to
calculate the 95% confidence interval when you remember that
incomes
are skewed to the right. Isn’t a 95% confidence interval based on a
normal curve? Was all your
work in vain? Explain, making reference to the assumptions required
for confidence intervals to
be valid.

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