A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighed. The accompanying table shows the unstacked weights (in pounds). The distributions of both data sets suggest that the population distributions are roughly Normal. Determine whether the difference in means is significant, using a significance level of 0.05. E Click the icon to view the data table. .... Let HBaseball be the population mean weight (in pounds) of male college baseball players and let usoccer be the population mean weight (in pounds) of male college soccer players. Determine the hypotheses for this test. Ho: HBaseball - HSoccer %3D Ha: HBaseball - PSoccer Find the test statistic for this test. t= (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the conclusion for this test? Reject Ho. At the 0.05 significance level, there is sufficient evidence to conclude that the difference in mean weights is significant.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Weights (in pounds)
Full Data Set
Baseball
Soccer
Baseball
Soccer
195
170
192
166
210
196
215
175
192
191
204
182
191
197
188
164
197
190
187
158
216
197
200
179
195
180
205
190
186
192
204
189
214
180
187
185
232
187
198
200
235
172
198
167
204
197
195
172
178
192](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76305403-f421-4312-9b46-528ddd78d416%2F67d042c1-227b-4f4f-9b21-4cde2015b3af%2Fo3xyc4_processed.png&w=3840&q=75)
![A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighed. The accompanying table
shows the unstacked weights (in pounds). The distributions of both data sets suggest that the population distributions are roughly Normal. Determine whether the difference in
means is significant, using a significance level of 0.05.
E Click the icon to view the data table.
...
Let HBaseball be the population mean weight (in pounds) of male college baseball players and let usoccer be the population mean weight (in pounds) of male college soccer
players. Determine the hypotheses for this test.
Ho: HBaseball - HSoccer
= 0
Ha: HBasebal - PSoccer
Find the test statistic for this test.
t= (Round to two decimal places as needed.)
Find the p-value for this test.
p-value =
(Round to three decimal places as needed.)
What is the conclusion for this test?
Reject
Hn. At the 0.05 significance level, there
is
sufficient evidence to conclude that the difference in mean weights is significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76305403-f421-4312-9b46-528ddd78d416%2F67d042c1-227b-4f4f-9b21-4cde2015b3af%2Fuein69m_processed.png&w=3840&q=75)
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