If, in a sample of n= 25 selected from a normal population, X = 60 and S= 20, what is your statistical decision if the level of significance, a, is 0.10, the nullhypothesis, Ho, is µ= 50, and the alternative hypothesis, H,, is µ# 50?Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t.%3D.....Determine the critical value(s).The critical value(s) is(are) - 1.7109,1.7109 .(Round to four decimal places as needed. Use a comma to separate answers as needed.)Determine the test statistic, tsTAT:tSTAT =(Round to four decimal places as needed.)

Given: Sample size, n = 25 Sample mean, X¯ = 60 Sample standard deviation, S = 20 Significance…

Answered: If, in a sample of n= 25 selected from…

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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Historically it is known thatp = 36.3% of the population have a specified characteristic. A random sample of size n=500 is taken, and x=167 number of the population has the specified characteristic. Determine the value of the test statistic for the hypothesis test of one proportion with null hypothesis Ho: p = 36.3%. Enter your answer to two decimal places.
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed and that the population standard deviations are known. You obtain a sample of size n1=42 with a mean of ¯x1=69.5 and a population standard deviation of σ1=16.2 from the first population. You obtain a sample of size n2=55 with a mean of ¯x2=75.4 and a population standard deviation of σ2=17.9 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population…
Which of the following is the best decision and conclusion based on the result below? H.: p = 0.10 Ha:p + 0.10 Critical Value: +1.645 Computed Test Statistics: z = 5.61 O a. Since the computed test statistics is less than the critical value, do not reject Ho. Therefore, we conclude that at 0.10 level of significance, there is enough evidence that the population proportion is different from 10%. O b. Since the computed test statistics is less than the critical value, do not reject Ho. Therefore, we conclude that at 0.10evel of significance, there is enough evidence that the population proportion is different from 10%. O c. Since the computed test statistics is greater than the critical value, reject Ho. Therefore, we conclude that at 0.10 level of significance, there is enough evidence that the population proportion is different from 10%. O d. Since the computed test statistics is less than the critical value, reject Ho. Therefore, we conclude that at 0.10 level of significance, there…
A. What are the critical values? B. Determine the test statistic
Assume the critical value on the right side of a Z distribution was 1.96. A researcher received a sample mean that he translated into a z score of 2.5. What decision should the researcher make regarding the null hypothesis?
A marketing researcher would like to compare the mean amounts that men and women spend on Christmas gifts. Independent random samples were taken from each group. He would like to conduct a test to determine if women spend more on average. If the null hypothesis is Ho : µM - µf = 0, what is the alternative hypothesis? ge 2: ge 3: OH1 : µM – HF 0 4 OH1 : µM – HF # 0 Page 5: Next Page Dege 10of15
Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 398 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0:  ? μ p  Select an answer > < ≠ =   (please enter a decimal) H1:H1:  ? μ p  Select an answer < = ≠ >   (Please enter a decimal) The test statistic ? z t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 3 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer fail to reject accept reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 15% at αα = 0.05, so there is statistically insignificant evidence to conclude that the…
You wish to test the following claim (H1H1) at a significance level of α=0.005.      Ho:μ1=μ2      H1:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1=17n1=17 with a mean of M1=52.8M1=52.8 and a standard deviation of SD1=9.4SD1=9.4 from the first population. You obtain a sample of size n2=14n2=14 with a mean of M2=47.4M2=47.4 and a standard deviation of SD2=10.5SD2=10.5 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final…
You wish to test the following claim (Ha) at a significance level of α=0.10.       Ho:μ1=μ2       Ha:μ1<μ2 You obtain a sample of size n1=21 with a mean of M1=72.5 and a standard deviation of SD1=18.7 from the first population. You obtain a sample of size n2=22 with a mean of M2=76.2 and a standard deviation of SD2=15.8 from the second population. Use the Theory-based inference applet to conduct the test of significance. (a) What is the t-score for this sample?       t-score = (Round to 2 decimal places.) (b) What is the p-value for this sample?      p-value = (Round to 4 decimal places.) (c) The p-value is... less than (or equal to) α greater than α (d) This p-value leads to a decision to... strong evidence to support the alternative accept the null null is plausible (e) As such, the final conclusion is that... We conclude that μ1<μ2 . We conclude that μ1=μ2 . We have statistically significant evidence to support the claim that μ1<μ2 ..…
Suppose you want to test the claim that μ > 25.6. Given a sample size of n = 47 and a level of significance of, a=0.01 when should you reject H0?
If, in a sample of n=20 selected from a normal population, X = 54 and S = 12, what is your statistical decision if the level of significance, a is 0.01, the null hypothesis, Ho. is i = 50, and the alternative hypothesis, H, is #502 Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values oft. Determine the critical value(s). The critical value(s) is(are)| (Round to four decimal places as needed. Use a comma to separate answers as needed.)
You wish to test the following claim (H1H1) at a significance level of α=0.10α=0.10. H0:μ=51.8 H1:μ<51.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=19n=19 with mean ¯x=42.4x¯=42.4 and a standard deviation of s=13.2s=13.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = ____________What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = __________The p-value is... less than (or equal to) αα or greater than αα This test statistic leads to a decision to... reject the null or accept the null or fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 51.8. or There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 51.8. or The sample…

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