### 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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A psychologist uses two tests to assess clients on the same psychological construct. Both tests have been used extensively and the scores for each are normally distributed. The population mean for Test 1 is 30 with a standard deviation (o) of 8. The population mean for Test 2 is 50 with a standard deviation (o) of 12. Q12: The score for a client on Test 1 is 40. What is the equivalent score on Test 2? Hint: Designate the raw score of 40 as X1 and the unknown raw score on Test 2 as X2. Find the z score for X1 and use it in a second z score equation to solve for X2.
Q3. In 1977, men who were under 50 years old had a mean weight of 175 pounds, with a standard deviation of 18 pounds. You are required to test whether the mean body weight in the population then and now differ. Which statistical test would you conduct? State both the null and the alternative hypotheses.
I. A study reports that teenagers spend 27 hours a week online (www.telegraph.co.uk). A researcher wanted to check if this claim is true. A random sample of 200 teenagers taken showed that they spend an average of 25.7 hours per week online with a standard deviation of 8.2 hours. Perform a hypothesis test with the alternate hypothesis that teenagers spend less than 27 hours per week online. Use c = 0.05. Perform all of the steps outline in your notes and write a complete conclusion in words. Assume the distribution of hours spent online is normally distributed.
Do men take more time than women to get out of bed in the morning? The 46 men observed averaged 6.5 minutes to get out of bed after the alarm rang. Their standard deviation was 1.1. The 45 women observed averaged 6 minutes and their standard deviation was 2.9 minutes. What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: u1 or p1, <,>,=, u2, p2 (please enter a decimal) H1:H1: u1 or p1, <,>,=, u2, p2 (Please enter a decimal) The test statistic z or t is 1.083. Enter it here (please show your answer to 3 decimal places.) The p-value is 0.1417. Enter it here (Please show your answer to 4 decimal places.) The p-value is <,> αα Based on this, we should fail to reject, accept,or reject the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.01, so there is…
The average American consumes 86 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 11 randomly selected college students and found that they averaged 95.8 liters of alcohol consumed per year with a standard deviation of 20 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: Ho ? Select an answer H₁: ? Select an answer c. The test statistic ? C d. The p-value = e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest the population mean is not significantly more than 86 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to…
People spend an average of $11 on entertainment. You believe that for people who live in Arizona, this number is significantly lower. To test, you randomly sampled n=100 Arizona residents and asked them how much they spend on entertainment. The sample average of these respondents was $10.74 with a sample standard deviation of $1.2. If you want to test the null hypothesis that H0: u=11 vs Ha: u<11, what is the value of the test statistic?
A sample of 35 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ ≤ 28 H1: μ > 28 a. What is the decision rule? b. What is your decision regarding H0? c. What is the p-value?
A large international company with over 1.5 million employees wants to estimate how many of their employees have a cholesterol level that is higher than the recommended level. The company collects data from a random sample of employees and creates a 95% confidence interval for the population mean cholesterol level for all company employees. The upper bound of a 95% confidence interval for the population mean cholesterol level was 261.48, and the width of the same 95% confidence interval was 10.44. In this confidence interval, what is the sample mean (x bar) cholesterol level? Provide your answer as a number rounded to two decimal places
A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief. Which of the following is the correct test statistic for the hypothesis test? A t = 63-64.2 2.9 63-64.2 2.9 t 3= 63-64.2 29 40 64.2-63 t 3= 2.9 64.2-63 t = 2.9 US 1 DELL 么 & %24 %23 || E.
Which of the following is closest to the correct test statistic for this hypothesis test?
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
Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. The correct hypothesis statement for this hypothesis test would be A) H0: μ = 33.9; H1: μ ≠ 33.9. B) H0: μ = 36; H1: μ ≠ 36. C) H0: μ ≤ 36; H1: μ > 36. D) H0: μ ≥ 36; H1: μ < 36.

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