Question
In: Statistics and Probability
Suppose we are interested in analyzing the weights of NFL players. We know that on average,...
- Suppose we are interested in analyzing the weights of NFL
players. We know that on average, NFL players weigh 247 pounds with
a population standard deviation of 47 pounds. Suppose we take a
sample of 30 new players and we find that the average weight from
that sample is 237 pounds. We are interested in seeing if the
weight of NFL players is decreasing. Show work.
- What is the standard error?
- What is the margin of error at 90% confidence?
- Using my sample of 30, what would be the 90% confidence interval for the population mean?
- If I wanted to control my margin of error and set it to 5 at 90% confidence, what sample size would I need to take instead of the 30?
- What are the null and alternative hypotheses?
- What is the critical value at 90% confidence?
- Calculate the test statistic (using the sample of 30 and NOT the answer from part d).
- Find the p-value.
- What conclusion would be made here at the 90% confidence level?
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose we are interested in analyzing the weights of NFL players. We know that on average,...
Suppose we are interested in analyzing the weights of NFL
players. We know that on average, NFL players weigh 247 pounds with
a population standard deviation of 47 pounds. Suppose we take a
sample of 30 new players and we find that the average weight from
that sample is 237 pounds. We are interested in seeing if the
weight of NFL players is decreasing.
What is the standard error?
What is the margin of error at 90% confidence?
Using my...
Suppose we are interested in studying flight delays. We know that on average there are 100...
Suppose we are interested in studying flight delays. We know
that on average there are 100 delays in a month with a population
standard deviation of 238 delays. Suppose we take a sample of 30
flight delays from American airlines only and we find that the
average from that sample for that month is 306 delays. We are
interested in seeing if the number of flight delays are increasing.
What is the standard error?
What is the margin of error...
Football Players: The weights of 52 randomly selected NFL football players are presented below. The sample...
Football Players:
The weights of 52 randomly selected NFL football players are
presented below. The sample mean is 248.38 and the sample standard
deviation is 46.68.
1. Construct a 95% confidence interval for the mean weight of
NFL football players
a. Give the name of the function you would use to create the
interval.
b. Give the confidence interval.
c. Interpret your interval.
305
265
287
285
290
235
300
230
195
236
244
194
190
307
218
315
265...
We are interested in analyzing data related to football players for one season. Use T to...
We are interested in analyzing data related to football players
for one season. Use T to denote the player is in their 30s and use
F to denote a player plays offense. The probability that someone in
their 30s in the data set is 10.2%. The probability that someone
plays offense in the data set is 48.6%. The probability that
someone is in their 30s and plays offense if 4.9%.
What percentage of people in the NFL are in their...
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested.
Suppose we are interested in bidding on a piece of land and we
know one other bidder is interested. The seller announced that the
highest bid in excess of $9,500 will be accepted. Assume that the
competitor's bid x is a random variable that is uniformly
distributed between $9,500 and $15,500.a. Suppose you bid $12,000. What is the probability that your bid
will be accepted (to 2 decimals)?b. Suppose you bid $14,000. What is the probability that your bid
will...
Suppose we are interested in estimating the average number of customers in the supermarket. On average,...
Suppose we are interested in estimating the average number of
customers in the supermarket. On average, there are 15 customers
entering the supermarket every 5 minutes. And on average, a typical
customer spends about 20 minutes in the supermarket (from entering
to exiting the market).
a. Calculate the average number of customers in the
supermarket.
b. About 20% of customers leave without making a purchase. On
average, a customer spends about 5 minutes in the checkout area.
Estimate the average...
suppose we are interested in bidding on a piece of land and we know one other...
suppose we are interested in bidding on a piece of
land and we know one other bidder is interested. The seller
announced that the highest bid in excess of $10,000 will be
accepted. Assume that the competitors bid x is a random variable
that is uniformly distributed between $10,000 and $15,400.
A) suppose you bid $12,000. What is the probability
that your bid will be accepted (to 2 decimals)?
B) suppose you bid $14,000. What is the probability that your...
Suppose we are interested in bidding on a piece of land and we know one other...
Suppose we are interested in bidding on a piece of land and we
know one other bidder is interested. The seller announced that the
highest bid in excess of $15,000 will be accepted. Assume that the
competitor's bid x is a random variable that is uniformly
distributed between $15,000 and $20,000.
(a)
Suppose you bid $16,000. What is the probability that your bid
will be accepted?
(b)
Suppose you bid $18,000. What is the probability that your bid
will be...
Suppose we are interested in bidding on a piece of land and we know one other...
Suppose we are interested in bidding on a piece of land and we
know one other bidder is interested. The seller announced that the
highest bid in excess of $10,000 will be accepted. Assume that the
competitor's bid x is a random variable that is uniformly
distributed between $10,000 and $15,300.
Suppose you bid $12,000. What is the probability that your bid
will be accepted (to 2 decimals)?
Suppose you bid $14,000. What is the probability that your bid
will...
Suppose we are interested in bidding on a piece of land and we know one other...
Suppose we are interested in bidding on a piece of land and we
know one other bidder is interested. The seller announced that the
highest bid in excess of $9,500 will be accepted. Assume that the
competitor's bid x is a random variable that is uniformly
distributed between $9,500 and $14,600.
a. Suppose you bid $12,000. What is the probability that your
bid will be accepted (to 2 decimals)?
b. Suppose you bid $14,000. What is the probability that your...
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