Consider the following hypothesis test. The null hypothesis is "The mean body temperature for humans is 98.6 degrees Farenheit." and the alternative hypothesis is "The mean body temperature for humans differs from 98.6 deFarenheit." Answer the following questions.a. "The mean body temperature for humans in fact differs from 98.6 degrees Farenheit but the result of the sampling fail to lead that conclusion" is aOA. correct decisionОВ. Туре Г errorOC. Type Il errorb. "The mean body temperature for humans in fact is 98.6 degrees Farenheit but the result of the sampling lead to the conclusion that the mean body temprature for humans differ from 98.6 degrees Farenheit" is aОА. Туре II errorО В. Туре I errorOC. correct decisionc. "The mean body temperature for humans in fact differs from 98.6 degrees Farenheit and the result of the sampling lead to that conclusion" is aOA. correct decisionов. Туре Г errorос. Туре II errord. "The mean body temperature for humans in fact is 98.6 degrees Farenheit and the result of the sampling do not lead to the rejection of the fact that the mean body temprature is 98.6 degrees Farenheit" is aDА. Туре II errorОВ. Туре Г errorOC. correct decision

The type I error is defined as rejecting the null hypothesis when it is true. The type II error is…

Answered: Consider the following hypothesis test.…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A sales manager believes that the mean number of days per year her company's sales representatives spend traveling is less than 50. A test is made of ?0 ? = 7 ?????? ?1 ? < 50. The null hypothesis is not rejected. State an appropriate conclusion.
Suppose a pitcher claims that his pitch speed is more than 55 miles per hour, on average. Several of his teammates do not believe him, so the pitcher decides to do a hypothesis test, at a 5% significance level, to persuade them. He throws 81 pitches. The mean speed of the sample pitches is 63 miles per hour. The pitcher knows from experience that the standard deviation for his pitch speed is 9 miles per hour. H0: μ=55; Ha: μ>55 α=0.05 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test?
A Physics test has a mean of 150 and a standard deviation of 12. A Geography test has a mean of 46 and a standard deviation of 3.5. If both exams are unimodal and symmetric, which is more unusual: A Physics test of 183 or a Geography test of 36?
Identify the two samples as either independent or dependent. 1. Two samples comparing pre and post semester scores for students in a class 2. A sample of air quality measurements taken in the spring and a sample of air quality measurements taken in the fall. 3. A survey comparing couples political beliefs 4. Sample exam means comparing two different classes 5. Before and after comparison of 500 meter run times, when comparing two different exercise programs Write the null and alternative hypothesis for each claim. Remember to use the difference notation D. 1. A statistics instructor claims his teaching can improve your exam scores 2. Using before and after rounds of golf, a coach claims that she can improve your golf game Listed below are heights in inches of fathers and their first sons. 72 73 Father Son Difference 1. Complete the table and find the differences 2. Use a 5% level of significance to test the claim there is no difference in heights between fathers and first sons. Before…
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
The mean number of eggs per person eaten in the United States is 244. Do college students eat a different number of eggs than the average American? The 60 college students surveyed averaged 255 eggs per person and their standard deviation was 64.4. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: 244 H1: PV A 244 c. The test statistic 1.323 (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 ? Va 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 244 at a = 0.10, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 244. O The data suggest that the…
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.
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The mean number of eggs per person eaten in the United States is 266. Do college students eat a different number of eggs than the average American? The 61 college students surveyed averaged 285 eggs per person and their standard deviation was 72.6. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: v Select an answer H.: vSelect an answer c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) a O The data suggest that the sample mean is not significantly different from 266 at a = 0.10, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is different from 285. O The data suggest that the…
C. To assess the actual mean weight of apples, a farm manager selected a random sample of 75 apples. He found that the sample mean weight was 126.2 grams with standard deviation 8.7 grams. With what degree of confidence can we say that the confidence limits are (126.2±2.57) grams?
Two species of fish have similar phenotvpes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes?

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