# Factors that Influence a Hypothesis Test with the T StatisticWhen conducting a hypothesis test about a population mean with an unknown standard deviation, the t statistic is used to decide whether to reject the null hypothesis. Assume the t statistic is a positive value and that you will reject the null hypothesis when t is very large.For each potential change to the components of your study design or the results listed below, determine the change to the t statistic and select "Increases," "Decreases," or "Stays the same" from the dropdown menu in the right-hand column.### Change in Study Design or Results1. **An increase in the obtained difference (M - μ)**2. **A switch from using a one-tailed test to a two-tailed test**3. **A decrease in the significance level (such as using α = .01 instead of α = .05)**4. **An increase in the sample size (n)**Each of these changes can impact the t statistic and, consequently, the outcome of the hypothesis test.

We have to answer the question based on t statistics.

Answered: 7. Factors that influence a hypothesis…

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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how do you get those answers ? Such as 0.112 and 0.167
Sony wants to test the hypothesis that the standard deviation of the ages of Playstation users is greater than the standard deviation of Xbox users. Sample statistics for the two populations are given in the table below. At the α = 0.05 significance level, it is about whether the standard deviation of the ages of the Playstation users is more than the standard deviation of the Xbox users; Sample; PlaystationStandard deviation: 4.3 yearsVolume: 26 XboxStandard deviation: 3.9 yearsVolume: 28 a) Construct the h0 and h1 hypotheses.b) Show the rejection region by scanning on the distribution curve and expressing the critical value.c) Calculate the test statistics.d) Write down and interpret your decision as a result of the hypothesis test.
Find test statistic, critical values & conclusion
find the critical value for the test of significance in each of the given information. 1. one-tailed test, variance is known, the level of significance is 0.05, and n=34 2. One-tailed test, variance is unknown, the level of significance is 0.05, and n=14 3. What is the critical value when the test is one-tailed, the level of significance is 0.05, the variance is known, and n=34? 4. What is the critical value when the test is one-tailed, the level of significance is 0.05, the variance is unknown, and n=14?
1.4 Using the production data from the table, determine the standard deviation of Milky Way's weekly production of cheese products. 1.5 Using the production data from the table , determine the mid-50% range of Milky Way's weekly production of cheese products.
Only test statistic and p value... thank you
Can you help me solve this question. I include the data chart along with it
Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 2.15 kg with a standard deviation of 0.48 kg. After years of marked oxygen depletion from pollutants in the creek, you want to perform a hypothesis test to see if the standard deviation, ơ, of weights has changed. To do so, you measure the weights of 15 randomly chosen mature rainbow trout from the creek and find that the sample standard deviation is 0.32 kg. Under the assumption that current weights of mature rainbow trout in the creek follow a normal distribution, you will perform a chi-square test. Find x, the value of the test statistic for your chi-square test. Round your answer to three or more decimal places.
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (u, ): n=24, x= 0.54, s = 0.96 Reduction in Pain Level After Sham Treatment (H2): n= 24, x= 0.45, s = 1.39 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? VA. Ho: H1 = H2 H1: H1 > H2 O B. Ho: H1 # µ2 H1: H1
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 21 21 x 0.78629lb 0.81612lb s 0.00442lb 0.00748lb =< The test statistic, t, is __ (round to two decimal places) The P-value is __ (round to three decimal places) State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean…
Are medical students more motivated than law students? A randomly selected group of each were administered a survey of attitudes toward Life, which measures motivation for upward mobility. The scores are summarized below. Medical Law Students Students Sample Size Mean Score 120 80 75.3 65.8 Sample Standard Deviation 13 10.6 a) Test the hypothesis at 5% significance level and interpret your results assuming population standard deviations are unknown and assumed to be equal. b) Test the equality of population variances at 5% significance level and interpret your results.
Compute test statistic (Independent t-score) Pooled variance S2p: Estimated standard error S(M1-M2) : Computed Independent t statistic: 2. Make a decision about the null hypothesis and state a conclusion. Decision: Are you going to reject the null or fail to reject the null Conclusion: ex. The independent variable did or did not have a significant effect Remember: if you reject, there was significance When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., 2000). The following data demonstrate this phenomenon. The participants learned a visual discrimination task on one day. Half of the participants were allowed to have at least 6 hours of sleep and the other half were kept awake all night. 6 hours sleep No sleep…

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