Hypothesis Test for Two Population Means with Data and StatCrunch | Summary and Q&A

TL;DR

Using hypothesis testing, it was found that the mean longevity of arc bishops is less than monarchs.

Key Insights

• 🫠 Hypothesis testing was utilized to compare the mean longevity of arc bishops and monarchs.
• 🖤 The t-test was applied due to the lack of population standard deviations.
• 🎚️ A significance level of 0.01 was chosen for the analysis.
• ❓ The null hypothesis was rejected in favor of the alternate hypothesis.
• 😀 The p-value obtained was 0.0007.
• 🛄 The interpretation of the results indicated significant evidence in favor of the claim.
• ❓ StatCrunch was used for data analysis in this statistical comparison.

Transcript

this problem we have a hypothesis test so it says listed below are the year are the numbers of years that arc bishops and monarchs in a certain country lived after their election or coronation assume that the two samples are independent simple random samples loaded from normally distributed populations do not assume that the population standard dev... Read More

Questions & Answers

Q: What are the null and alternate hypotheses in this hypothesis test?

The null hypothesis states that the mean longevity of arc bishops is equal to that of monarchs, while the alternate hypothesis claims that the mean longevity of arc bishops is less than that of monarchs.

Q: Why was the t-test used in this analysis?

The t-test was chosen because the population standard deviations were not provided, making it appropriate for comparing the means of two independent samples with unknown standard deviations.

Q: How was the conclusion reached based on the p-value and significance level?

The p-value of 0.0007 was compared to the significance level of 0.01. Since the p-value was smaller than the significance level, the null hypothesis was rejected.

Q: What does the interpretation of the results indicate?

The interpretation states that at a 1% significance level, there is sufficient evidence to support the claim that the mean longevity of arc bishops is less than that of monarchs.

Summary & Key Takeaways

• Two independent samples of arc bishops and monarchs were analyzed for their longevity after election/coronation.

• Hypothesis testing was conducted with a significance level of 0.01 to compare mean longevity between the two groups.

• The results showed that there is sufficient evidence to support the claim that arc bishops have lower mean longevity than monarchs.