Question

In a collection of Easter candy, a sample of 16 chocolate bunnies has a mean weight of 8.02 ounces and a standard deviation of 1.16 ounces. We seek to make a 95% confidence interval for the mean weight of all chocolate bunnies from which the sample was taken.

Now suppose that a sample of 64 bunnies has the same mean and standard deviation as the previous sample.

A. How many degrees of freedom should be used for Student's t distribution?

B. What is the critical value of t for 95% confidence and the nearest number of degrees of freedom in the chart? Give the bounds for the 95% confidence interval for the population mean, to two decimal places

. C. Lower bound:

D. Upper bound:

Answer #1

A sample of 15 small bags of Skittles was selected. The mean
weight of the sample of bags was 2 ounces and the standard
deviation was 0.12 ounces. The population standard deviation is
known to be 0.1 ounces. (Assume the population distribution of bag
weights is normal)
a) Construct a 95% confidence interval estimating the true mean
weight of the candy bags. (4 decimal places
b) What is the margin of error for this confidence interval?
c) Interpret your confidence...

4. A company that manufactures chocolate bars is particularly
concerned that the mean weight of a chocolate bar is not greater
than 6.03 ounces. The company hires an independent consultant, and
she randomly selects 50 chocolate bars, where the sample mean is
6.0340 ounces and the sample standard deviation is .02 ounces.
Using an alpha level of .01 (also called a level of significance),
conduct a single sample hypothesis test to test that the population
mean weight of a chocolate...

We take a sample of the weights of 350 pieces of candy, and we
find an average weight of 3 ounces. We know that the population
standard deviation of candy is 10 ounces. What is the 90%
confidence interval?
Group of answer choices
(1.77, 4.23)
(2.95, 3.05)
(2.5, 3.5)
(2.12, 3.88)

You are given the sample mean and the population standard
deviation. Use this information to construct the 90% and 95%
confidence intervals for the population mean. Interpret the results
and compare the widths of the confidence intervals.
From a random sample of
78
dates, the mean record high daily temperature in a certain city
has a mean of
85.43 degrees°F.
Assume the population standard deviation is
13.72 degrees°F.
The 90% confidence interval is
(nothing,nothing).
(Round to two decimal places as...

You measure the weight of 40 bags of nuts, and find they have a
mean weight of 64 ounces. Assume the population standard deviation
is 2.4 ounces. Based on this, what is the maximal margin of error
associated with a 92% confidence interval for the true population
mean bags of nuts weight.
Give your answer as a decimal, to two places
m = ounces

A sample of 18 small bags of the same brand of candies was
selected. Assume that the population distribution of bag weights is
normal. The weight of each bag was then recorded. The mean weight
was 3 ounces with a standard deviation of 0.12 ounces. The
population standard deviation is known to be 0.1 ounce.
NOTE: If you are using a Student's t-distribution, you may
assume that the underlying population is normally distributed. (In
general, you must first prove that...

A parent population has a true mean equal to 25. A random sample
of n=16 is taken and the estimated standard deviation is 6.0
What
is the value of the standard error of the mean in this
instance?
What
percentage of sample means would be expected to lie within the
interval 23.5 to 26.5?
What
is the t-value (in absolute value) associated with a 95% symmetric
confidence interval?
What is the
lower bound of the 95% confidence interval?
T/F A...

You want to estimate the mean number of chocolate chips in
cookies. The average number of chocolate chips per cookie in a
sample of 40 cookies was 23.95, with a sample standard deviation of
2.55. (A) Find a 90% confidence interval for the mean number of
chocolate chips using the t-distribution. (B) Find a 90% confidence
interval for the mean number of chocolate chips using the standard
normal distribution (for this question, assume the population
standard deviation is equal to...

Suppose the shipping weight of your cheese shop's customized
gift basket is asymmetrically distributed with unknown mean and
standard deviation. For a sample of 65 orders, the mean weight is
45 ounces and the standard deviation is 10.2 ounces. What is the
upper bound of the 90 percent confidence interval for the gift
basket average shipping weight?

1. You measure 43 dogs' weights, and find they have a mean
weight of 74 ounces. Assume the population standard deviation is
4.4 ounces. Based on this, construct a 95% confidence interval for
the true population mean dog weight.
Give your answers as decimals, to two places
___________ ±___________
2. You measure 48 textbooks' weights, and find they have a mean
weight of 77 ounces. Assume the population standard deviation is
12.3 ounces. Based on this, construct a 99.5% confidence...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 13 minutes ago

asked 17 minutes ago

asked 20 minutes ago

asked 20 minutes ago

asked 23 minutes ago

asked 29 minutes ago

asked 31 minutes ago

asked 35 minutes ago

asked 35 minutes ago

asked 46 minutes ago

asked 54 minutes ago