Conduct a t-test at the .01 level.You are interested in the income of American adults. In your sample, there are 361 adults with a high school degree, with a mean $19,500 and a standard deviation $3,800. Test if the mean income of the high school degree holders is $20,000. Find the correct hypotheses. (A) H1: μ=20000 H0: μ≠20000 (B) H1: μ≠20000 H0: μ=20000 (C) H1: μ=19500 H0: μ≠19500 (D) H1: μ≠19500 H0: μ=19500
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Conduct a t-test at the .01 level.You are interested in the income of American adults. In your sample, there are 361 adults with a high school degree, with a
Find the correct hypotheses.
(A) H1: μ=20000 H0: μ≠20000
(B) H1: μ≠20000 H0: μ=20000
(C) H1: μ=19500 H0: μ≠19500
(D) H1: μ≠19500 H0: μ=19500
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- You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately o = 24.3 dollars. You would like to be 99% confident that your estimate is within 10 dollar(s) of average spending on the birthday parties. How many parents do you have to sample? n =??In 2000 the average total charitable contribution in the United States (according to the IRS), as reported on tax returns, was $2,225 per household.Suppose you wanted to determine if the mean charitable contribution per household has changed since then. To test this, you sample 35 household tax returns from 2022 and find the following:The mean, ?̅, charitable contribution per household was $2,675, with a standard deviation, S, of $1,844.At the 0.05 level of significance, is there evidence to suggest the mean charitable contribution per household has changed since 2000? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and why
- please answer D E & FYou want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately o = 61.5 dollars. You would like to be 90% confident that your estimate is within 1.5 dollar(s) of average spending on the birthday parties. How many parents do you have to sample? n =In 1974, the mean height of a woman in the United States was 63.7 inches, with a standard deviation of 2.5 inches. What is the height of a woman who is taller than 88% of the rest of the sample? Enter your answer in inches rounded to one decimal place, e.g. 60.4.
- Are you smarter than a second-grader? A random sample of 59 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is X=56. Assume the standard deviation of test scores is o= 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average. Use the a = 0.05 level of significance and the P-value method with the TI-84 calculator. Answer the following questions.▼ Part 1 of 4 Londell, an accomplished marathon runner, claims that the standard deviation for his time to run a 26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell looks up 17 of his race times (in minutes): 238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7, 240.2, 233.9 Perform a hypothesis test using a 1% level of significance to test Londell's claim. Step 1: State the null and alternative hypotheses. Ho:o 11.1 Ha:oIs the difference between the mean annual salaries of registered nurses in State A and State B equal to $10,500? To decide, you select a random sample of registered nurses from each state. The results of each survey are shown. Assume the population standard deviations are o, = $8337 and o, = $7633. At a = 0.01, what can you conclude? Registered Nurses in State A Registered Nurses in State B 75,695 70,695 %3D %3D X1 X2 n1 30 n2 25 What are the null and alternative hypotheses for this test? A. Ho: H1 - H22 10,500 Ha: H1 - H2 10,500 Ha: H1 - H2s 10,500 O F. Ho: H1 - H2 S 10,500 Hai H1 - H2 > 10,500 Determine the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.)R Do political science classes require more writing than history classes? The 55 randomly selected political science classes assigned an average of 16.9 pages of essay writing for the course. The standard deviation for these 55 classes was 3.8 pages. The 44 randomly selected history classes assigned an average of 14.8 pages of essay writing for the course. The standard deviation for these 44 classes was 4.6 pages. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Select an answer Select an answer Select an answer Select an answer Select an answer Select an answer b. The test statistic ? O (please show your answer to 3 decimal places.) c. The p-value (Please show your answer to 4 decimal places.) %3D d. The p-value is ? a e. Based on this, we should Select an answer O the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a =…Are you smarter than a second-grader? A random sample of 57 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x =46. 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