Part II – One-Sample Hypothesis Testing (25 points) Given the values in Part 1, check if the sample data truly represents the population data at 5% level of significance using hypothesis testing in one variable.
Ho: There is no significant difference between the 1st measurement of weight.
Ha: There is a significant difference between the 1st measurement of weight.
T Distribution Calculator (for inference on mean, variance unknown)
Enter significance level (̑): 0.05
Enter sample size (n): 9
Cut-off values for:
2-sided alternative: -2.306 2.306
Less than alternative: -1.860
Greater than alternative: 1.860
Test Statistic, p-value, and Confidence Interval Calculator
Enter sample mean (y-bar): 51.22
Enter standard or test value (m0): 57.58
Enter sample standard deviation (s): 3.53
Test Statistic: -5.4051
P-value:
Two sided alternative: 0.0006
Less than alternative: 0.0003
Greater than alternative: 0.9997
Confidence Interval for mean ̑:
Two-sided confidence interval: 48.5066 53.9334
Upper confidence interval: - ∞ 53.4081
Lower confidence interval: 49.0319 + ∞
Guide Questions
1. Using the given and computed values, is there a reason to believe that there is no significant difference between sample data and population data? Justify.
[Answer]
2. What if the significance level is raised to 10%, will there be a change on the original conclusion? Justify.
[Answer]