(c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the researcher.- Since the *p*-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than **15.4 minutes**.- Since the *p*-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is **not** enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than **15.4 minutes**.- Since the *p*-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than **15.4 minutes**.- Since the *p*-value is greater than the level of significance, the null hypothesis is not rejected. So, there is **not** enough evidence to support the claim that the mean time the updated superchargers take to charge a standard EV battery is more than **15.4 minutes**. **Educational Website Content: Hypothesis Testing on Battery Superchargers****Understanding the Scenario:**A certain type of battery supercharger was initially documented to take an average time of **15.4 minutes** to charge a standard electric vehicle (EV) battery. Recently, a firmware update was introduced to this type of supercharger, although users have reported negatively about it. A researcher believes that the time it takes for the updated superchargers to charge a standard EV battery is longer than the existing mean time of **15.4 minutes**.To evaluate this hypothesis, the researcher randomly selects a sample of **15 updated superchargers**. The results show that these superchargers take a sample mean of **16.1 minutes** to charge the battery. The sample data exhibits a standard deviation of **1.8 minutes**. It's assumed that the charging times for the updated superchargers follow a **normal distribution**.**Objective:**The goal is to perform a **hypothesis test** at the **0.05 level of significance** to determine whether there is sufficient evidence to support the claim that the mean charging time (\(\mu\)) for the updated superchargers is greater than **15.4 minutes**.**Hypothesis Formulation:**1. **Null Hypothesis (\(H_0\)):** \[ H_0 : \mu = 15.4 \] This implies that there is no increase in the mean time for charging the EV battery with the updated superchargers.2. **Alternative Hypothesis (\(H_1\)):** \[ H_1 : \mu > 15.4 \] This suggests that the mean time to charge the EV battery using the updated superchargers is greater than **15.4 minutes**.A diagram in the content illustrates the symbols used in hypothesis testing, indicating how to insert the mean (\(\mu\)) and the sample mean (\(\bar{x}\)) with the respective inequality for the alternative hypothesis.Through this hypothesis test, the researcher will determine if the observed data provides strong enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

It is been asked to test whether the mean time taken by the updated superchargers to charge standard…

Answered: A certain type of battery supercharger…

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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It takes an average of 8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will increase if the patient is immediately told the truth about the injury. The EMT randomly selected 62 injured patients to immediately tell the truth about the injury and noticed that they averaged 8.5 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.1 minutes. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: Hv Select an answer v Н: Select an answer v c. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is >v f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly greater than 8 at a =…
Recent results suggest that children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this relationship, a researcher obtains a random sample of n = 36 children, 8 to 12 years old, who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time each day is spent watching TV. The average daily time for the sample is X-bar = 4.9 hours. It is known that the average time for the general population of 8 to 12-year-old children is μ = 4.1 hours with σ = 1.8. a) Are the data sufficient to conclude that children with ADHD watch significantly more TV than children without ADHD? Use a two-tailed test with α = .05. b) If the researcher had used a sample of n = 9 children and obtained the same sample mean, would the results be sufficient to reject H0?
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A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He believes that the mean systolic blood pressure, u, of CEOS of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOS of major corporations and finds the mean of the sample to be 138 mm Hg and the standard deviation of the sample to be 18 mm Hg. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H u is ? H:u is ? In the context of this test, what is a Type I error? A Type I error is ? the hypothesis that u is ? - when, in fact, u is ? Suppose that the researcher decides to reject the null hypothesis. What sort of error might he be making? ? Submit A Continue
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