a. calculate the test statistic b. find the P value c. make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a signifigance level of 0.10. **Geyser Eruption Time Intervals Analysis**The following data represents time intervals (in minutes) between eruptions of a geyser. The "recent" times indicate intervals from the past few years, while "past" times are from approximately 20 years ago. The assumption is that the two samples are independent simple random samples derived from normally distributed populations. It's important not to assume that the population standard deviations are equal.**Objective**: Determine if there is a change in the mean time interval between eruptions. Additionally, consider if the conclusion changes based on significance levels of 0.10 or 0.01.**Data**:- **Recent**: 79, 91, 90, 80, 57, 100, 63, 86, 69, 88, 83, 82, 56, 82, 74, 101, 60- **Past**: 88, 87, 93, 94, 64, 86, 84, 92, 88, 91, 88, 91---**Hypothesis Testing**Let $ \mu_1 $ represent the recent eruption times and $ \mu_2 $ represent the past eruption times. Identify the null and alternative hypotheses:- **A**. - $ H_0: \mu_1 = \mu_2 $ - $ H_1: \mu_1 > \mu_2 $- **B**. - $ H_0: \mu_1 < \mu_2 $ - $ H_1: \mu_1 = \mu_2 $- **C**. - $ H_0: \mu_1 \neq \mu_2 $ - $ H_1: \mu_1 = \mu_2 $- **D**. - $ H_0: \mu_1 = \mu_2 $ - $ H_1: \mu_1 \neq \mu_2 $Evaluate these hypotheses based on your statistical analysis to determine if there is a significant difference in the mean time intervals.

Answered: calculate the test statistic b. find…

calculate the test statistic b. find the P value c. make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Use a signifigance level of 0.10.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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