### Statistical Analysis Process**c. Compute the Value of the Test Statistic**- **Instruction:** Calculate the value of the test statistic. Round your answer to two decimal places. - **Input Field:** [Value of the test statistic]**d. Decision Regarding $ H_0 $**- **Question:** What is your decision regarding the null hypothesis $ H_0 $? - **Options:** - [ ] Reject $ H_0 $ - [ ] Do not reject $ H_0 $**e. Determine the $ p $-value**- **Instruction:** Calculate the $ p $-value. Round your answer to four decimal places. - **Input Field:** [p-value] A sample of 42 observations is selected from one population with a population standard deviation of 4.5. The sample mean is 100.5. A sample of 56 observations is selected from a second population with a population standard deviation of 3.8. The sample mean is 98.5. Conduct the following test of hypothesis using the 0.10 significance level.\[ H_0: \mu_1 = \mu_2 \]\[ H_1: \mu_1 \neq \mu_2 \]a. Is this a one-tailed or a two-tailed test?- One-tailed test (option selected)- Two-tailed testb. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)The decision rule is to reject $ H_0 $ if $ z $ is in the interval ( __________ , __________ )

The question is about hypothesis testing.Given :Randomly selected no. of observations from…

Answered: A sample of 42 observations is selected…

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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please answer a, b, c
I’m stuck on how to do this problem for stats.
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 20 night students, and the sample mean GPA is 2.85 with a standard deviation of 0.86. You sample 30 day students, and the sample mean GPA is 3.02 with a standard deviation of 0.4. Test the claim using a 5% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses?H0: = H1: Based on the hypotheses, find the following:Test Statistic = p− value = The correct decision is to The correct summary would be: that the mean GPA of night students is different from the mean GPA of day students.
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
The mean number of eggs per person eaten in the United States is 223. Do college students eat a different number of eggs than the average American? The 51 college students surveyed averaged 237 eggs per person and their standard deviation was 39.3. What can be concluded at the a = 0.01 level of significance? %3D a. For this study, we should use Select an answer b. The null and altemative hypotheses would be: H 2 Select an answer v H 2vSelect an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is | ? v a f. Based on this, we should Select an answer V the null hypothesis. g. Thus, the final conclusion is that... O The data suggest that the populaton mean is significantly different from 223 at a = 0.01, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 223. Toctor O The data…
The average American consumes 89 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 15 randomly selected college students and found that they averaged 87.3 liters of alcohol consumed per year with a standard deviation of 15 liters. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? Select an answer V Н: ? v Select an answer V c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest the population mean is not significantly less than 89 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students…
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…
Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -
The mean number of eggs per person eaten in the United States is 255. Do college students eat less eggs than the average American? The 68 college students surveyed averaged 246 eggs per person and their standard deviation was 30.5. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answer v Select an answer Y c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v f. Based on this, we should Select an answer v the null hypothesis.
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 60 night students, and the sample mean GPA is 2.83 with a standard deviation of 0.52. You sample 50 day students, and the sample mean GPA is 3.21 with a standard deviation of 0.65. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal and that GPAS are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses? Ho: (H, H, H1: [H, Based on the hypotheses, find the following: Test Statistic = -3.3161 Critical Values = +2.576 X (Just enter the positive CV.)
The manufacturer claims that your new car gets 23 mpg on the highway. You suspect that the mpg is less for your car. The 50 trips on the highway that you took averaged 19.8 mpg and the standard deviation for these 50 trips was 7.4 mpg. What can be concluded at the � = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: �0: �1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is � Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the populaton mean is significantly less than 23 at � = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 23. The data suggest that the population mean is not significantly less than 23 at � = 0.10, so there is…

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