**Question (a):** Which of the following statements is **TRUE** about p-values in general?- ○ The test statistic in a 2-tailed test is the same as the critical value of a confidence interval.- ○ If the p-value of a test statistic is less than the significance level, we reject the null hypothesis at that significance level.- ○ The p-value of a test statistic is always less than or equal to the significance level in a 1-tailed test.- ○ The p-value of a test statistic is always double the significance level in a 2-tailed test.- ○ If we fail to reject the null hypothesis at a specified significance level, then the p-value of the test statistic was less than that significance level.**Question (b):** If a hypothesis is rejected at the 5% significance level, what can you conclude?- ○ It must not be rejected at the 2.0% significance level.- ○ It must not be rejected at the 10.0% significance level.- ○ It must be rejected at the 2.0% significance level.- ○ It may or may not be rejected at the 2.0% significance level.- ○ It must be rejected at all significance levels.

According to guidelines we solve only first question

Answered: (a) Which of the following statements…

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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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim, You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below, At a = 0.01. can vou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 26 27 30 31 37 23 28 320 29 27 37 32 31 25 31 29 22 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? O C. Ho: H=31 O A. Ho: H> 31 Hai H531 O B. Ho: H231 Ha:H31 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. Reject H because the P-value is less than the…
a. What are the null and alternative hypotheses? b. The test statistic, t, is c. The P-value is d. State the conclusion for the test. e. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
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A study has been conducted of the airspeed of various bird species. You would like to specify the difference in airspeed. The following information is obtained. 1. What multiplier should I use for 95% confidence interval? 2. Can you construct a confidence interval for the difference? 3. Does that interval support the hypothesis that there is a difference in the airspeed of these two species?
In testing hypotheses, which of the following provides strong evidence against the null hypothesis? Using a small level of significance a Using a large level of significance Obtaining data with a small P-value O d Obtaining data with a large P-value
A confidence interval for the population mean ?� tells us which values of ?� are plausible (those inside the interval) and which values are not plausible (those outside the interval) at the chosen level of confidence. You can use this idea to carry out a test of any null hypothesis ?0:?=?0�0:�=�0 starting with a confidence interval: reject ?0�0 if ?0�0 is outside the interval and fail to reject if ?0�0 is inside the interval. The alternative hypothesis is always two‑sided, ??:?≠?0��:�≠�0 because the confidence interval extends in both directions from ?⎯⎯⎯.�¯. A 95% confidence interval leads to a test at the 5% significance level because the interval is wrong 5% of the time. In general, confidence level ?� leads to a test at significance level ?=1−?.l A medical director found the LDL cholesterol ?⎯⎯⎯=124.86�¯= for an SRS of 72 executives. The standard deviation of the LDL of all adults is ?=40.is . Give a 90% confidence interval for the mean LDL ?� of all executives in this…
(c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject H, because the P-value is greater than the significance level. O B. Reject Hn because the P-value is less than the significance level. O C. Fail to reject H, because the P-value is less than the significance level. O D. Reject H, because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. O B. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 students. O C. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean O D. At the 5% level of significance, there is not sufficient evidence to support the claim…
Here are summary statistics for randomly selected weights of newborn girls: n= 181, x = 31.8 hg, s = 7.7 hg. Construct a confidence interval estimate of the mean. Use a 90% confidence level. Are these results very different from the confidence interval 30.9 hg <µ< 33.5 hg with only 20 sample values, x 32.2 hg, and s =3.4 hg? What is the confidence interval for the population mean u? hg
Which one of the following statements is incorrect: A. A type I error consists of rejecting the null hypothesis when it is true B. A type II error consists of accepting the null hypothesis when it is false C. You can control simultaneously both the Type I and Type II error probabilities when the sample size is fixed D. Hypothesis testing and confidence intervals are related concepts
A box model is used to calculate a confidence interval in the following scenario: A institution selects 300 households in a town asking about their annual income. They want to construct a confidence interval for the percentage of people having income more than $100,000 annually. For each of the following quantities in the box model, select the answer if the quantity is random, not fixed. Leave the quantities that are fixed unselected. O the EV and SE of the sample percentage of households having income more than $100. 000 annually O the population percentage of households having income more than $100,000 annually O the sample percentage of households having income more than $100,000 annually O the proportion of 1's in the box model
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