Question

Suppose that the batting average for all major league baseball
players after each team completes 100 games through the season is
0.251 and the standard deviation is 0.038. The null hypothesis is
that American League infielders average the same as all other major
league players. A sample of 36 players taken from the American
League reveals a mean batting average of 0.244. What is the value
of the test statistic, *z* (rounded to two decimal
places)?

Answer #1

**Solution:**

**null hypothesis:
**

**Alternative hypothesis:
**

**For 0.05 level with two tailed test, critical value of
z=1.960**

**Decision rule : reject
if absolute value of test statistic
**

**Population mean
**

**Sample mean
**

**Sample size
**

**Population std deviation
**

**Standard error of mean =**

**Test statistic **

**From above test statistics z=-1.11**

Question 13 of 21
The null hypothesis is a claim about a:
A. parameter, where the claim is assumed to
be false until it is declared true
B. parameter, where the claim is assumed to
be true until it is declared false
C. statistic, where the claim is assumed to
be false until it is declared true
D. statistic, where the claim is assumed to
be true until it is declared false
Question 14 of 21...

Is the number of games won by a major league baseball team in a
season related to the team batting average? The table below shows
the number of games won and the batting average (in thousandths) of
8 teams.
Team
Games Won
Batting Average
1
119
279
2
64
266
3
120
288
4
96
268
5
67
282
6
118
288
7
61
263
8
94
271
Using Games Won as the explanatory variable, x, find the following
rounded...

Is the number of games won by a major league baseball team in a
season related to the team batting average? The table below shows
the number of games won and the batting average (in thousandths) of
8 teams. Team Games Won Batting Average 1 120 289 2 72 286 3 96 277
4 108 272 5 77 259 6 105 285 7 90 263 8 78 290 Using games won as
the explanatory variable ? and compute the correlation...

Your friend tells you that the proportion of active Major League
Baseball players who have a batting average greater than .300 is
different from 0.71, a claim you would like to test. The hypotheses
for this test are Null Hypothesis: p = 0.71, Alternative
Hypothesis: p ≠ 0.71. If you randomly sample 23 players and
determine that 14 of them have a batting average higher than .300,
what is the test statistic and p-value?

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different from 0.64, a claim you would like to test. The hypotheses
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determine that 24 of them have a batting average higher than .300,
what is the test statistic and p-value?

Your friend tells you that the proportion of active Major League
Baseball players who have a batting average greater than .300 is
different from 0.77, a claim you would like to test. The hypotheses
for this test are Null Hypothesis: p = 0.77, Alternative
Hypothesis: p ≠ 0.77. If you randomly sample 24 players and
determine that 19 of them have a batting average higher than .300,
what is the test statistic and p-value?
Question 9 options:
1)
Test Statistic:...

There were 2430 Major League Baseball games played in 2009, and
the home team won the game in 53% of the games. If we consider the
games played in 2009 as a sample of all MLB games, test to see if
there is evidence, at the 5% significance level, that the home team
wins more than half (50%) of the games.
a. Write the null and alternative hypotheses
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c. Set up your sampling distribution...

The 30 Major League Baseball teams are divided into two
"leagues" of 15 teams each: the American League and the National
League. A random sample of 48 American League players and a random
sample of 48 National League players were selected. The sample mean
and standard deviation of the salaries of the sampled players is
shown in the table below.
League
Mean salary in millions USD
SD of salary in millions USD
American
3.435
5.879
National
3.476
6.669
1. A...

Your friend tells you that the proportion of active Major League
Baseball players who have a batting average greater than .300 is
different from 0.74, a claim you would like to test. The hypotheses
here are Null Hypothesis: p = 0.74, Alternative Hypothesis: p ≠
0.74. If you take a random sample of players and calculate p-value
for your hypothesis test of 0.9623, what is the appropriate
conclusion? Conclude at the 5% level of significance.
Question 15 options:
1)
We...

1) A semiprofessional baseball team near your town plays two
home games each month at the local baseball park. The team splits
the concessions 50/50 with the city but keeps all the revenue from
ticket sales. The city charges the team $100 each month for the
three-month season. The team pays the players and manager a total
of $1000 each month. The team charges $10 for each ticket, and the
average customer spends $6 at the concession stand. Attendance
averages...

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