Question

A little league baseball bat manufacturer can build aluminum bats using three different manufacturing processes. He wants to know whether the processes affect the power of the bat. He builds a bat-swinging machine that is designed to simulate a human batter, and he has the machine use each of the three bats to hit eight baseballs. He records the distance each ball travels (in feet) before it hits the ground, as shown in the table. Does manufacturing process affect bat power? Use alpha= .05 . a. (2) What are the hypotheses in formal statistical notation? b. (1) Conduct this ANOVA using an online analysis tool. Report the results of the ANOVA (i.e., the f-test) using APA-style notation for reporting statistics. c. (2) What is your decision about the Null Hypothesis? Explain how you came to this decision. d. (3) If appropriate, conduct the post hoc tests and describe the results. That is, communicate the results in everyday language so that someone else can understand the findings, using the descriptive statistics for each group to explain the pattern in the data. Feel free to draw a graph if that will help you describe the results.

Answer 1

a. The hypotheses in formal statistical notation are: H0: The manufacturing process does not affect bat power. Ha: The manufacturing process affects bat power. b. The ANOVA results can be reported in APA-style notation using the F-test statistic and p-value. c. The decision about the Null Hypothesis is based on comparing the p-value to the significance level (alpha). d. Post hoc tests cannot be conducted without additional information.

Step-by-step explanation:

a. Hypotheses in formal statistical notation:

Null Hypothesis (H0):

The manufacturing process does not affect bat power.

Alternative Hypothesis (Ha):

The manufacturing process affects bat power.

b. ANOVA Results:
The ANOVA test is used to determine if there are significant differences in the means of three or more groups. By conducting the ANOVA test using an online analysis tool, we can obtain the F-test statistic and the p-value. To report the results in APA-style notation, we would state the degrees of freedom, the F-test statistic, and the p-value, for example: F(df between, df within) = F-value, p < alpha.

c. Decision about the Null Hypothesis:
To make a decision about the Null Hypothesis, we compare the p-value to the significance level (alpha) of 0.05. If the p-value is less than 0.05, we reject the Null Hypothesis. If the p-value is greater than or equal to 0.05, we fail to reject the Null Hypothesis.

d. Post Hoc Tests:
In this question, the post hoc tests are not mentioned. Post hoc tests are used to determine which specific groups differ significantly from each other in a multiple group ANOVA. Therefore, we cannot conduct post hoc tests or describe their results without additional information.