Big fish: A sample of 200 flounder of a certain species have sample mean weight 42.5 grams. Scientists want to perform a hypothesis test to determine howstrong the evidence is that the mean weight is greater than 41 grams. State the appropriate null and alternate hypotneses.The null hypothesis is H: (Choose one)The alternate hypothesis is 1, (Choose one)A V 4

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Answered: Big fish: A sample of 200 flounder of a…

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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53
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.050 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? 652 671 1049 548 526 574
z and p value
52
Suppose we want to test the null hypothesis Ho: p = 0.28 against the alternative hypothesis H1 :p + 0.28. Suppose also that we observed 100 successes in a random sample of 400 subjects and the level of significance is 0.05. What is the observed test statistic for this test? Select one: а. -1.521 O b. 1.336 С. -1.336 d. 1.521
Suppose in a sample of 400 apples 79 are damaged You want to test the claim the proportion that are damaged is less than 20%. Hint There is strong evidence against H0 if the p-value is less than 0.05, alternatively there is strong evidence against H0 if the test stat is less than -1.645. Which option is the correct hypothesis test. Select one: a. H0: p= 0.8, H1 p> 0.8, standard error =10, test stat =0.5, p-value = 0.3084, reject H0 because there is strong evidence the proprotion is above 80% b. H0: p= 0.2, H1 p < 0.2, standard error =0.02 test stat =-0.125, p-value = 0.4503, do not reject H0 because there is not strong evidence the proprotion is less than 20% c. H0: p> 0.8 H1 p =0.8, test stat =-20 , p-value = 0.3084, do not reject H0 because there is strong evidence the proprotion is above 80% d. H0: =0.2, H1: < 0.2 , test stat =2.3, p-value = 0.01, do not reject H0 because there is not strong evidence the proprotion is above 80%
A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 119 responded that they did. Determine if more than half of all drivers drive a car made in this country at the a = 0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Ho: 0.5 H4: 0.5 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.)
Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: µ= 50; a = 0.04; o = 3.91. Sample statistics: x= 49.2, n = 77 %3D Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. H : μ 50 В. Но: н#50 %3D Ha: H> 50 Ha: H= 50 C. H : μ 50 HaiH 50 Ha: µ= 5 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.)
The hypothesis test ?0:?=23.6 H1:μ≠23.6 is to be carried out. A random sample is selected, and yields ?¯=25.6 and ?=13.7. If the value of the test statistic is ?=0.583941605839416, what is the sample size? Sample Size =
Perform the following tests of hypothesis. (a) Ho: 1=285, H1: u< 285, x(mean)=267.80, s=42.90,n=55,a =0.05 (b) Ho: = 10.70,Н1 : u /= 10.70,x(mean)=12.025,s=4.90 n=47 a= 0.01
The CEO of a popular company claims that the mean response time for customer service calls is 9 minutes. A group of recent customers believes that the mean response time is actually slower than that, meaning it takes more than 9 minutes. The customers wish to conduct a hypothesis test at the a = 0.05 level of significance to determine if their claim that it is slower is correct. Which would be correct hypotheses for such a test? Ho:u = 9, Hị: µ > 9 Ho:4 + 9, Hị: µ = 9 %3D OHo:H < 9, Hị :H = 9 ΘΗ :μ = 9, Η :μ <9 ΘΗ:μ = 9, Η :μέ9 What does the P-value measure? O The power of mind of the statistician who performed the statistical experiment O The probability that the alternate hypothesis is true The probability that the results of a statistical experiment are due only to chance O The probability that the results of an statistical experiment are due to something more significant than chance If the resulting P-value is 0.065, which would be the appropriate conclusion? There is significant…
After running a regression you conduct a hypothesis test of Ho: ß = 2.5 versus Hạ: B + 2.5 is performed using a = 0.10. The value of the test statistic z = -1.80 (the critical value is -1.645). If the true value of B is 2.5, does the conclusion you reach result in Type I, Type II error, or the correct decision? O Type II Error O Type I Error O correct decision not enough information

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