In: Statistics and Probability

In 2003, Major League Baseball took steps to speed up the paly of baseball games and make games a more consistent duration. In a sample of 41 games in 2002, the average duration of a game was 2 hours and 58 minutes with a standard deviation of 32 minutes. A similar survey in 2003 of 31 games found that the average duration was 2 hours and 40 minutes with a standard deviation of 19 minutes. When testing the hypothesis (at the 10% level of significance) that the variance has been reduced, what is the critical value? (please round your answer to 2 decimal places)

Solution:

The null and alternative hypotheses will be as follows:

To test the equality of two population variances, the most appropriate test is F-test. The test statistic is given as follows:

Where, S_{1}^{2} and
S_{2}^{2} are sample variances.

The degrees of freedom for the test will be (n_{1}
- 1, n_{2} - 1). Where, n_{1} and
n_{2} are sample sizes.

Since, our test is right-tailed test, therefore we shall obtain right-tailed critical value. The right-tailed critical value for F-test is given by,

Where, α is significance level, and (n_{1} -1,
n_{2} - 1) is degrees of freedom.

We have, α = 10% =
0.10, n_{1} = 41 and n_{2} =
31

Using F-table we get,

**The critical value is 1.57.**

3. Problems and Applications Q3This chapter discusses companies that are oligopolists in the market for the goods they sell. Many of the same ideas apply to companies that are oligopolists in the market for the inputs they buy. If sellers who are oligopolists try to increase the price of goods they sell, the goal of buyers who are oligopolists is to try to decrease the prices of goods they buy Major league baseball team owners have an oligopoly in the market...

Comprehensive Problem Major League Bat Company
Major League Bat Company manufactures baseball bats. In addition
to its work in process inventories, the company maintains
inventories of raw materials and finished goods. It uses raw
materials as direct materials in production and as indirect
materials. Its factory payroll costs include direct labor for
production and indirect labor. All materials are added at the
beginning of the process, and conversion costs are applied
uniformly throughout the production process.
Required:
You are to...

Refer to the Baseball 2016 data, which report information on the
30 Major League Baseball teams for the 2016 season. Refer to the
variable team salary. Prepare a report on the team salaries. Be
sure to answer the following questions in your report. Around what
values do the data tend to cluster? Specifically what is the mean
team salary? What is the median team salary? Is one measure more
representative of the typical team salary than the others? What is...

Refer to the Baseball 2016 data, which report information on the
30 Major League Baseball teams for the 2016 season. Refer to the
variable team salary. Prepare a report on the team salaries. Be
sure to answer the following questions in your report. Around what
values do the data tend to cluster? Specifically what is the mean
team salary? What is the median team salary? Is one measure more
representative of the typical team salary than the others? What is...

Refer to the Baseball 2016 data, which report information on the
30 Major League Baseball teams for the 2016 season.
At the .10 significance level, is there a difference in the
variation in team salary among the American and National League
teams?
Create a variable that classifies a team’s total attendance
into three groups: less than 2.0 (million), 2.0 up to 3.0, and 3.0
or more. At the .05 significance level, is there a difference in
the mean number of...

Refer to the Baseball 2016 data, which report information on the
30 Major League Baseball teams for the 2016 season. a. At the .05
significance level, can we conclude that there is a difference in
the mean salary of teams in the American League versus teams in the
National League? b. At the .05 significance level, can we conclude
that there is a difference in the mean home attendance of teams in
the American League versus teams in the National...

Refer to the Baseball 2016 data, which report information on the
30 Major League Baseball teams for the 2016 season.
At the .10 significance level, is there a difference in the
variation in team salary among the American and National League
teams?
Create a variable that classifies a team’s total attendance
into three groups: less than 2.0 (million), 2.0 up to 3.0, and 3.0
or more. At the .05 significance level, is there a difference in
the mean number of...

The average age of the players on each of the 30 Major League
Baseball teams in the 2017 season were as follows:
26.6
27.9
27.9
29.9
29.3
28.1
28.4
28.9
27.7 28.7
30.5
29.8
28.5
27.9
30.9
29.3
28.8
28.6
29.1 31.0
30.7
30.3
29.7
31.0
29.4
29.8
29.4
32.7
34.0 31.8
(a) Construct a stem-and-leaf diagram for these data, by using
the first two digits of each number as the stem and the third digit
as...

American League baseball teams play their games with a
designated hitter rule, meaning that pitchers do not bat. The
league believes that replacing the pitcher, traditionally a weak
hitter, with another playing in the batting order produces more
runs and generally more interest among the fans. (I, being a
non-sports fan, assume the National League does NOT use a
designated hitter…someone correct me if this is not correct!) The
average number of home runs hit per game for the 2011...

In 2012, the mean number of runs scored by both teams in a Major
League Baseball game was 8.62. Following are the numbers of runs
scored in sample of 24 games in 2013. A test of whether the mean
number of runs in 2013 is less than it was in 2012 will be
conducted, using significance level 0.05, by answering the
questions below..
2
10
3
9
15
10
7
4
3
7
5
9
5
9
15
15
4...

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- Define what is meant by rationing of health care. In what age-based population is health care...
- The primary goal of most businesses is profit maximization. Discuss the concept of profit maximization. How...
- sketch a graph about the relation between Number of states N(E) and Energy E . and...
- Suppose, for a random sample selected from a normally distributed population, X^- =51.70 and s= 8.8...
- Crane Company manufactures two products called Alpha and Beta that sell for $135 and $95, respectively....
- There are a number of statistics computed to measure the price level, such as the GDP...
- need to Identify five (5) from signs/notices/advertisements that are posted for the public to view, which...

ADVERTISEMENT