Consider Ho: µ = 72 versus H1:µ > 72. A random sample of 16 observations taken from this population produced a sample mean of 76.0. The population is normally distributed with o = 6. %3D a. Calculate the p-value. Round your answer to four decimal places. p = b. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.01? c. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.025? the absolute tolerance is +/-0.0035

Consider Ho: µ = 72 versus H1:µ > 72. A random sample of 16 observations taken from this population produced a sample mean of 76.0. The population is normally distributed with o = 6. %3D a. Calculate the p-value. Round your answer to four decimal places. p = b. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.01? c. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.025? the absolute tolerance is +/-0.0035

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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A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 0 3 1 2 5 1 8 GPA 3.3 2.9 3.4 3.3 2.5 2.8 0.7 1. The p-value is: _____ (Round to four decimal places) 2. Use a level of significance of α=0.05 to state the conclusion of the hypothesis test in the context of the study (pick one). a. There is statistically significant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the regression line is useful. b. There is statistically significant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. c. There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. d. There is statistically insignificant…
65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
The test statistic, t, is - 22.67. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. A. 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. Fail to reject the null hypothesis. There is not 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. C. 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. D. Reject the null hypothesis. There is not 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.
a. Compute the p-value for the test (use R). Round to the nearest 3rd decimal place, 0.xxx. b. Make and justify a statistical decision at the α= 0.15 significance level and state your conclu-sions in context of the problem.
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The manufacturer claims that your new car gets 24 mpg on the highway. You suspect that the mpg is less for your car. The 44 trips on the highway that you took averaged 22.3 mpg and the standard deviation for these 44 trips was 4.2 mpg. What can be concluded at the αα = 0.05 level of significance? For this study, we should use (t-test for population mean, z-test for population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (?, less than or equal to, more than) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude…
A random sample of size 25 from a normal population has a mean of x-bar = 62.8 and s = 3.55. If you were to test the following hypothesis at the .05 level of significance. The value of the test statistic is Họ: H = 60 %3D Họ: H+60 O-3.94 O 0.79 -0.79 O 3.94 O 2.8
You wish to test the following claim (Ha) at a significance level of α=0.02 Ho:μ=54.6 Ha:μ>54.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=87 with mean M=55.8and a standard deviation of SD=7.7What 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... A-less than (or equal to) αα B-greater than αα This test statistic leads to a decision to... A-reject the null B-accept the null C-fail to reject the null As such, the final conclusion is that... A-There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.6. B-There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.6. C-The sample data support the claim that the population…
Need asap 19. A vendo machine is designed to fill plastic cups with 19 ounces of orange juice. A costumer suspects that the machine is not filling the plastic cups completely. A sample of 35 cups has a mean of 18.7 ounces and a standard deviation 0.9 ounce. Is there enough evidence to support the consumer’s claim at α=0.01? What is the value of the statistical test? A. 2.97B. -2.97C. -1.97D. 1.9720. In t – test, if the population standard deviation is unknown what is used to replace the population standard deviation?A. sample sizeB. population varianceC. sample standard deviationD. hypothesis standard deviation21. Which of the following does not describe a null hypothesis?A. It is denoted by HoB. It has a statement of equalityC. It is the hypothesis to be testedD. It states a specific difference between a parameter and statistics22. A group of researchers wants to test the truth in the company’s claim that the travel time from Manila…
Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µd = 0. x / 734 13 y / 99 8 7 13 Compute the value of the test statistic. (Round your answer to nearest hundredth. Hint: The correct test statistic is positive.)