Understanding One Sample Hypothesis Test with Student T-Test

This video tutorial demonstrates a one-sample hypothesis test using a student t-test to determine if the mean time for bananas to spoil differs when hung from the ceiling. The process involves setting up null and alternative hypotheses, calculating the t-score and p-value, and interpreting the results to conclude whether the null hypothesis should be rejected. The tutorial emphasizes the significance of the findings at a 0.10 alpha level, providing statistically significant evidence that the mean spoilage time is different from 6.9 days.

What is the average time a banana lasts before it becomes too rotten to eat?

• 8.0 days

• 5.5 days

• 6.9 days

• 7.2 days

Which test is used when the population standard deviation is unknown?

• ANOVA

• Student t-test

• Chi-square test

• Z-test

What is the null hypothesis in this study?

• Mu != 6.9

• Mu < 6.9

• Mu > 6.9

• Mu = 6.9

What type of test is conducted when the alternative hypothesis is 'Mu doesn't equal 6.9'?

• Right-tailed test

• Left-tailed test

• Two-tailed test

• One-tailed test

Which calculator function is used to perform the t-test?

• Graph

• Matrix

• Stat

• Calc

What is the approximate t-score obtained from the test?

• 3.14

• 2.66

• 4.20

• 1.75

What is the significance level (alpha) used in this test?

• 0.20

• 0.15

• 0.10

• 0.05

What conclusion is drawn if the p-value is less than the significance level?

• Fail to reject the null hypothesis

• Accept the null hypothesis

• Reject the null hypothesis

• Accept the alternative hypothesis

What does a p-value of 0.0179 indicate in this context?

• Strong evidence against the null hypothesis

• Weak evidence against the null hypothesis

• No evidence against the null hypothesis

• Evidence supporting the null hypothesis

What is the final conclusion about the mean time for bananas to spoil when hung from the ceiling?

• It is less than 6.9 days

• It is significantly different from 6.9 days

• It is not significantly different from 6.9 days

• It is exactly 6.9 days