Question

The home run percentage is the number of home runs per 100 times at bat. A...

The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages.

1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8
2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4
3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9
1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0
1.2 1.8 2.4

(a) Use a calculator with mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)

x = %
s = %


(b) Compute a 90% confidence interval for the population mean ? of home run percentages for all professional baseball players. Hint: If you use the Student's tdistribution table, be sure to use the closest d.f. that is smaller. (Round your answers to two decimal places.)

lower limit     %
upper limit     %


(c) Compute a 99% confidence interval for the population mean ? of home run percentages for all professional baseball players. (Round your answers to two decimal places.)

lower limit     %
upper limit     %

Homework Answers

Answer #1

(A) Mean= (sum of all data values)/(number of data values)

setting the values, we get

mean = (1.6+2.4+...+1.8+2.4)/43 =98.6/43 = 2.29

Standard deviation =

setting the values, we get

standard deviation =

it gives, standard deviation = 1.40

(B) t critical value corresponding to 90% confidence level and degree of freedom = n-1 = 43-1 = 42

we get, t critical = 1.68

confidence interval formula is

CI =

where

setting the values in the above formula, we get

CI =

so, lower limit is 1.93 and upper limit is 2.65

(C) t critical value corresponding to 99% confidence level and degree of freedom = n-1 = 43-1 = 42

we get, t critical = 2.70

confidence interval formula is

CI =

where

setting the values in the above formula, we get

CI =

so, lower limit is 1.71 and upper limit is 2.87

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Compute a 90% confidence interval...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean...
Provided in the date below a set of restoration times for 35 failed power transformers. The...
Provided in the date below a set of restoration times for 35 failed power transformers. The data were collected for recent transformer failures by a fairly novice work crew. a. What is a 90% confidence interval for mean restoration time? b. What is a 99% confidence interval for mean restoration time? c. If the industry standard for such a restoration is 2.7 hours, discuss how well the work crew in this analysis performed. 2.2 1.7 2.4 2.5 2.9 4.4 5.1...
these are percentages of annual sales growth and net sales attributed to loyalty card usage at...
these are percentages of annual sales growth and net sales attributed to loyalty card usage at 74 noodels and company restaurant Store   Growth%   Loyalty% Store   Growth%   Loyalty% 1     -7.7   0.7       38     7.1 1.7 2 -7.5    2.0 39     7.3 1.2 3 -6.4 1.3    40     7.7       1.7 4 -4.4 1.4       41     7.8 2.4    5 -4.1 2.0    42     8.3    2.1 6 -2.0    2.5 43    ...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT