Stats - Need in 24 hours
1. For the following data set, calculate the appropriate measures of central tendency and dispersion:
2
6
4
7
12
7
6
12
4
7
14
9
8
8
10
a) Mean
b) Median
c) Mode
d) Range
e) Sample Standard Deviation
2. On average, 70% of the students that enroll in an Engineering Technology degree program at MKU complete the program and receive their degrees. If a group of 20 students are randomly selected to be a part of a test group, based on the binomial distribution:
a) How many students would you expect to complete the program and receive their degree in this sample?
b) What is the probably that less than five will not complete the program and receive their
degree?
3. Historically, a textile company samples three sheets of a certain material as part of incoming inspection
and the historical 10.5 blemishes are found on average.
If a sample of one sheet of this material is tested, based on the Poisson distribution:
a) How many blemishes should be found on average in this sample?
b) What is the probability that 4 or more blemishes will be found?
4. A professional golfer executes hundreds of shots every day and his average drive is 295 yards with a standard deviation of seven yards. This is based on hitting sets of 10 drives and documenting only the averages of those 10 drives instead of keeping the record of each individual drive.
What is the probability that the average of his next 10 drives is longer than 298 yards?
5. A professional golfer executes hundreds of shots every day and his average drive is 295 yards with a standard deviation of seven yards. This is based on hitting and documenting each individual drive
a) If his drive has to travel 310 yards in the air in order to clear the 2nd water hazard, what is the probability that he can hit a drive over the 2nd water hazard?
b) If his drive has to travel 285 yards in the air in order to clear the water hazard, what is the probability that he can hit a drive over the water hazard?
6. A company has 48 sales representatives, one for each state in the contiguous United States.
Each state is divided into four regions. Each state sales representative only reports the average sales from the state he or she covers each week. The average reported is calculated from one individual data point per region. Before the New National Sales Manager was hired, the average sales reported per state each week was $95,000 with a standard deviation of $12,000.
The National Sales Manager claims that under her leadership, sales have increased despite the weakening economy. A sample was taken when the manager’s annual review was being written and average sales were $105,100.
a) Based on an
02
.
0
=
a
, can the National Sales Manager make her claim?Use and show the 5-Step Process.
b) What is the cutoff point of sales that allows or would allow the National Sales Manager to make the claim?
7. A Manufacturing group mass produces one product. It has 10 manufacturing locations and the manager of each location only reports the average quantity made per location each week. There are 9 production lines per location and each average reported is made up of one individual data point per production line. The Corporate Operations Manager claims to have made improvements that increased output.
The historical corporate-wide output reported per line is 10,510 units with a standard deviation of 450 units.
The Corporate Operations Manager claims that his lean events have increased output.
A corporate-wide sample was reported the next week and the average reported was 11,020 units per line.
Can the Corporate Operations Manager claim an increase in the performance of the historical average based on the week reported for production per line based on a statistical significance level of 1%?
*Use and show the 5-step process.