**Hypothesis Testing for Sedan Minimum Time to Travel a Quarter Mile****Problem Statement:**A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 20 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At $\alpha = 0.10$, is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.**(a) Identify the claim and state $H_0$ and $H_a$:**\[ H_0: \mu = 14.7 \]\[ H_a: \mu > 14.7 \](Type integers or decimals. Do not round.)The claim is the [ alternative ] hypothesis.**(b) Use technology to find the P-value. Find the standardized test statistic, t:**\[ t = \](Round to two decimal places as needed.)Obtain the P-value.**Graphs/Diagrams:**There are no specific graphs or diagrams included in this image. The problem presented here is focused on hypothesis testing, and solving it involves using statistical methods to compute the test statistic and P-value based on the provided data. Detailed solutions often include:1. **Calculations of the Test Statistic:** \[ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} \] where $\bar{x}$ is the sample mean (15.5), $\mu$ is the population mean under the null hypothesis (14.7), $s$ is the sample standard deviation (2.08), and $n$ is the sample size (20).2. **P-value Computation:** Use the t-distribution to find the P-value corresponding to the computed t-statistic.In this context, steps would involve substituting the given values into the formula, computing $t$, and then using t-tables or statistical software to find the P-value for the hypothesis test. ### Hypothesis Testing: Assessing the Mean Minimum Time for a Quarter Mile Travel**Scenario:** A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 20 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At $\alpha = 0.10$, is there enough evidence to support the consumer group's claim? Assume the population is normally distributed. Follow the steps below to determine the outcome.### Steps to Follow:**(a) Compute the P-value:**\[ \text{P} = \_\_\_\_ \]*(Round to three decimal places as needed.)***(b) Decide whether to reject or fail to reject the null hypothesis:**\[ \text{Reject or Fail to Reject} \]\[ \text{H}_0 \text{ because the P-value is} \_\_\_\_ \text{greater than} \alpha. \]**(c) Interpret the decision in the context of the original claim:**There $\_\_\_\_\_\_\_ $ enough evidence at the $\_\_\_\_\% $ level of significance to $\_\_\_\_\_\_\_ $ the claim that the mean minimum time it takes for a sedan to travel a quarter mile is $\_\_\_\_$ seconds.*(Type integers or decimals. Do not round.)*### Instructions for Completing the Table Entries:1. **Obtain the P-value:** Perform a hypothesis test to determine the P-value, rounding it to three decimal places.2. **Reject or Fail to Reject the Null Hypothesis:** Make a decision using the computed P-value and compare it with the significance level $\alpha$: - If P-value $\le \alpha$, reject the null hypothesis. - If P-value > $\alpha$, fail to reject the null hypothesis.3. **Interpret the Decision:** Provide context for the decision based on the consumer group's claim. State whether there is enough evidence to support the claim using the significance level provided.Remember, these steps will help to assess whether the mean minimum time a sedan takes to travel a quarter mile is statistically greater than 14.7 seconds, based on the provided sample data and significance level.

We have given that Sample size n=20 ,xbar=15.5,s=2.08 and alpa=0.10 Note : - According to…

A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 20 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At a= 0.10 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha- Ho: Ha: (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. (Round to two decimal places as needed.) Obtain the P-value.

A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 20 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At a= 0.10 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha- Ho: Ha: (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. (Round to two decimal places as needed.) Obtain the P-value.

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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