MBA_GPA BS GPA
2.82 3.05
3.49 3.45
3.28 3.5
3.25 3.55
3.26 3.3
2.87 3.05
3.16 3.35
3.4 3.35
2.84 3.05
3.72 3.7
3.22 3.5
3.44 3.55
3.65 3.9
3.02 3.3
3.03 3.25
3.8 3.8
3.23 3.5
3.26 3.5
3.53 3.75
3.75 3.9
3.15 3.2
3.66 3.75
3.36 3.45
3.79 3.85
2.85 3.05
3.74 3.9
3.23 3.25
3.52 3.7
3.32 3.45
2.89 3.1
2.83 3.05
2.93 3.1
3.71 3.8
3.47 3.75
3.52 3.65
2.83 3.05
3.64 3.55
2.96 3.1
3.59 3.8
3.33 3.55
3.38 3.6
3.44 3.35
3.31 3.45
3.03 3.25
3.26 3.4
3.04 3.25
2.98 3.1
2.8 3.05
3.75 3.75
3.64 3.65
3.65 3.8
3.18 3.3
3.44 3.4
3.06 3.15
3.51 3.75
3.33 3.4
2.81 3.05
3.64 3.8
3.05 3.4
2.85 3.05
3.56 3.6
2.92 3.1
3.35 3.5
3.46 3.35
3.59 3.75
3.11 3.2
3.65 3.7
3.17 3.5
2.97 3.1
3.77 3.9
3.21 3.2
3.17 3.15
3.65 3.65
2.94 3.1
3.53 3.7
3.65 3.6
3.61 3.7
3.7 3.9
2.91 3.1
3.09 3.25
3.77 3.95
3.79 3.8
3.59 3.6
3.38 3.5
3.57 3.5
2.97 3.1
3.44 3.65
3.64 3.55
3.48 3.4
2.99 3.1
3.73 3.8
2.91 3.05
3.78 3.95
3.4 3.4
3.13 3.15
3.14 3.25
3.24 3.3
3.56 3.5
3.16 3.25
3.53 3.55
3.01 3.15
3.3 3.35
3.62 3.6
3.21 3.4
3.39 3.4
3.65 3.8
3.47 3.7
3.44 3.6
3.88 3.95
3.83 3.95
3.53 3.6
3.22 3.3
3.56 3.8
3.2 3.25
3.17 3.3
3.41 3.6
3.56 3.7
3.34 3.6
3.44 3.6
3.76 3.8
3.55 3.45
3.88 3.9
3.31 3.45
3.09 3.15
3.82 4
3.01 3.2
3.66 3.85
3.64 3.7
3.59 3.65
3.49 3.55
3.13 3.2
3.83 3.9
3.04 3.15
3.91 4
3.56 3.7
3.96 4
3.46 3.4
3.22 3.15
3.27 3.2
3.43 3.45
3.85 3.95
3.89 3.9
3.37 3.45
3.32 3.3
3.54 3.55
3.8 3.9
3.74 3.85
3.17 3.45
3.27 3.55
3.32 3.3
3.56 3.45
3.95 4
3.56 3.75
3.79 3.75
3.93 4
3.79 3.85
3.71 3.85
3.05 3.35
3.22 3.2
3.85 3.95
3.82 3.95
3.23 3.95
3.56 3.65
3.53 3.65
3.62 4
3.8 3.95
3.47 3.35
3.64 3.65
3.03 3.15
3.17 3.25
3.22 3.2
3.92 4
3.82 3.95
3.26 3.55
3.8 3.85
3.2 3.2
3.46 3.35
3.67 3.75
3.06 3.4
3.66 3.85
3.96 4
3.75 3.85
3.83 3.85
3.22 3.2
3.36 3.35
3.21 3.25
3.02 3.15
3.99 4
3.07 3.15
3.65 3.65
3.67 3.85
3.06 3.35
3.98 3.7
3.93 4
3.41 3.3
3.43 3.5
3.7 3.65
3.76 3.75
3.9 3.9
3.23 3.3
Can a student keep up their grade performance at the next level? Is a strong GPA at the Bachelors level a good predictor of a strong GPA at the Masters level, or are GPAs naturally going to decline since graduate school is tougher, or will GPAs automatically be higher in graduate school because of the 3.00 requirement to graduate and the treatment of a C as subpar instead of average? Using the sample of 200 students (in the data file), conduct a hypothesis test for paired samples and test if there is a difference in the mean GPA from the Bachelors to the Masters programs. Use a .05 significance level.
Lol mate. This question is too long to be answered by us. Do it yourself, this is college level stuff.
To conduct a hypothesis test for paired samples to determine if there is a difference in the mean GPA from the Bachelor's to the Master's programs, we can use the following steps:
Step 1: State the null hypothesis (H0) and alternative hypothesis (H1):
- Null hypothesis (H0): There is no difference in the mean GPA from the Bachelor's to the Master's programs.
- Alternative hypothesis (H1): There is a difference in the mean GPA from the Bachelor's to the Master's programs.
Step 2: Set the significance level (α):
- The significance level, also known as alpha (α), is the probability of rejecting the null hypothesis when it is true. In this case, we will use a significance level of .05.
Step 3: Calculate the differences between the MBA GPA and BS GPA for each student:
- Create a new column that represents the difference between the MBA GPA and BS GPA for each student in the data set.
Step 4: Conduct the paired t-test:
- Use the paired t-test to compare the mean differences between the MBA and BS GPA.
- Calculate the t-statistic, degrees of freedom (df), and the p-value.
Step 5: Determine the critical value and compare it with the computed t-value:
- Find the critical value for the t-distribution with the appropriate degrees of freedom and the chosen significance level.
- If the absolute value of the computed t-value is greater than the critical value, we can reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
Step 6: Interpret the results:
- If the p-value is less than the significance level, we can reject the null hypothesis and conclude that there is a significant difference in the mean GPA between the Bachelor's and Master's programs.
- If the p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference in the mean GPA between the Bachelor's and Master's programs.
Note: To perform the actual calculations and conduct the paired t-test, you will need statistical software or a statistical calculator. The steps provided here outline the general process.