Statistics: The Appropriate Null And Alternative Hypothesis (Math Problem Sample)

Name of student.
School,
Date of submission.
1. Identify or specify the appropriate null and alternative hypothesis for (7the following test. Express each in writing and the form of an equation.
Null hypothesis H0: we find that there is no significant difference in the distance driven by UniDun and the SF balls. That is µ1 ≤ µ2
Alternative hypothesis Ha: length powered by UniDun balls is greater than that of SF balls µ1 ˃ µ2
Where µ1 and µ2 represent the driving distance of the UniDun and SF balls respectively.
2. Identify or specify the appropriate statistical test to accept or reject the null hypothesis.
I use the t-test for independent samples with equal variances. The alternative hypothesis, in this case, indicates that a one-tail (right-tail) test is supposed to be utilized.
3. Identify or specify the statistical parameters, the mean, variance and standard deviation. Then calculate the statistical test and p-value.
The test statistic is given as:
The Excel generated output (using data analysis tool pack) is given below.
t-Test: Two-Sample Assuming Equal Variances




 

Current

New

Mean

270.275

267.5

Variance

76.61474

97.94872

Observations

40

40

Pooled Variance

87.28173


Hypothesized Mean Difference

0


Df

78


t Stat

1.328362


P(T<=t) one-tail

0.093966


t Critical one-tail

1.664625


P(T<=t) two-tail

0.187932


t Critical two-tail

1.990847

 

4. In a three- to the five-paragraph synopsis, simply explain your results to the vice president of marketing including all terms of the scenario and results.
I want to determine whether the current UniDun balls could be driven as far as...