To disprove a previous study that claims that college graduates make an averagesalary of $46,000, a researcher records the salaries of 50 graduates and find that thesample mean is $43,000 with a standard deviation of $4,500. What is the z-value,and can she reject the null hypothesis?O The z-value is -0.67. There is not enough evidence to reject the claim.The z-value is -0.67. There is enough evidence to reject the claim.The z-value is 0.67. There is enough evidence to reject the claim.The z-value is 0.67. There is not enough evidence to reject the claim.

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Answered: To disprove a previous study that…

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 recent report claims that Americans spend an average of $11 per day on lunch. You believe that people who live in Philadelphia, PA spend significantly less on lunch per day than that. In order to test this, you randomly sampled n=100 Philadelphia residents and asked them how much they spend on lunch everyday. The sample average of these respondents was $10.92 with a sample standard deviation of $1.07. If you want to test the null hypothesis that H0: mean=11 vs Ha: mean <11.what is the value of the test statistic?
The world’s smallest mammal is the bumblebee bat. Such bats are roughly the same size of a large bumblebee. Listed below are the weights (in grams) from a sample of these bats. Assuming that all such bats have a standard deviation of .3 grams, use a significance level of .05 to test the claim that these bats are from the same population with a known mean of 1.8 grams. Do the bats appear to be from the same population? You may assume the sample data comes from a population that follows a normal distribution. 2.13 1.31 1.91 1.92 1.77 1.64 2.29 1.99 2.33 2.49 2.22 State the null hypothesis H0: _____________ State the alternative hypothesis H1: _____________ What is the test statistic used for the test (z or t) and its value (round to 2 places) State the significance or alpha (α) level Determine the p-value. (round to 4 places) Do you or do you not reject the null hypothesis? Why? Write a clear conclusion using a complete sentence.
A company advertises that their starting salary for new workers is $50,000. It is known that the population standard deviation is $8500. A sample of 36 new workers have a mean salary of $52,000. Test the hypothesis at an alpha of .05
An auditor, pressed for time and on a low budget, is concerned with account errors on customer credit. She takes a sample of 25 accounts, and finds the account error, on average, is $-23, with a standard deviation of $16. Is the claim of the manager that errors average only $-10 supported? In this case, the null hypothesis is what?
A developmental psychologist studies moral awareness in adolescents. Casual observation suggests that girls develop earlier than boys although most past research contains male participants. One test of moral awareness, standardized on male teens, has a mean of 72 and standard deviation of 18. The test is administered to 58 13-year-old girls, whose mean score is 76. Test the hypothesis that females test differently from males. binomial test Kruskal-Wallace H O one-sample t one-sample z
An educational researcher claims that the average GPA of graduate students at FIU is less than 3.5 . To test his claim he collected data on 81 graduate students . The sample mean GPA was 3.25 with a standard deviation of 0.3 . What is the conclusion ? Group of answer choices A. Reject the null hypothesis B. Type I error C. Fail to reject the null hypothesis D. Reject the alternative hypothesis
The mean annual tuition and fees for a sample of 14 private colleges in California was $37,900 witrh a standard deviation of $7,200. A dotplot shows that it is reasonable to assume that the population is approxiamately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000? a. State the null and alternate hypothesis. b. Compute the value of the t statistic. How many degrees of fredom are there?
Does the average Presbyterian donate a different amount of money compared to the average Catholic in church on Sundays? The 55 randomly observed members of the Presbyterian church donated an average of $23 with a standard deviation of $6. The 41 randomly observed members of the Catholic church donated an average of $25 with a standard deviation of $10. What can be concluded at the a = 0.01 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 v Select an answer v Selec r v (please enter a decimal) an answe Hị: Select an answer vSelect an answer v Select an answer v (Please enter a decimal) c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? -a 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.) O The results are statistically significant at a…
A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 53 nonprofit organizations, the mean one-time gift donation in the past year was $80,with a standard deviation of $13. . If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $75? a. State the null and alternative hypotheses. Choose the correct answer below. b. Find the test statistic. c. Find the p-value for this hypothesis test.

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