The mean SAT score in mathematics is 530. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis $ H_0 $ and the alternative hypothesis $ H_1 $ that they would use.**Hypotheses:**$ H_0: $ [ ]$ H_1: $ [ ]**Explanation:**To test the claim that the SAT preparation course improves scores, we set up the hypotheses as follows:- **Null Hypothesis ($ H_0 $)**: This is the statement we aim to test against. In this case, the null hypothesis would claim that the mean score of graduates is less than or equal to the national mean score of 530. - **Alternative Hypothesis ($ H_1 $)**: This represents the claim the founders are making. Here, the alternative hypothesis would state that the mean score of graduates is greater than the national mean score of 530.**Symbols and Operators Box:**A box is provided for statistics symbols and comparison operators such as:- Mean ($ \mu $)- Sample mean ($ \bar{x} $)- Population proportion ($ p $)- Sample proportion ($ \hat{p} $)- Population standard deviation ($ \sigma $)- Sample standard deviation ($ s $) Comparison operators include:- Less than or equal ($ \leq $)- Greater than or equal ($ \geq $)- Less than (<)- Greater than (>)- Not equal ($ \neq $)

given data ,themean SAT score in mathemeticas =530claim :the founders of a nationwide SAT…

Answered: The mean SAT score in mathematics is…

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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Part 2 and 3
A college professor states that this year's entering students appear to be smarter than entering students from previous years. The college's records indicate that the mean IQ for entering students from earlier years is 110.4. Suppose that we want to sample a small number of this year's entering students and carry out a hypothesis test to see if the professor's statement can be supported. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0= H1=
The mean SAT score in mathematics is 516. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis H, and the alternative hypothesis H, that they would use. H, 0 O
Answer all these questions A, B and C questions.
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Suppose the null hypothesis, H0, is: a weightlifting bar can withstand weights of 800 pounds and less. And the alternative hypothesis, Ha, is: a weightlifting bar can withstand weights of more than 800 pounds.What is the Type I error in this scenario? Select the correct answer below: You say there is insufficient evidence to conclude that the weightlifting bar can withstand weights of more than 800 pounds when, in fact, it can not. You say there is insufficient evidence to conclude that the weightlifting bar can withstand weights of more than 800 pounds when, in fact, it can. You say there is sufficient evidence to conclude that the weightlifting bar can withstand weights of more than 800 pounds when, in fact, it can not. You say there is sufficient evidence to conclude that the weightlifting bar can withstand weights of more than 800 pounds when, in fact, it can.
An experimenter flips a coin 100 times and gets 54 heads. Test the claim that the coin is fair against the two-sided alternative. (Null and Alternate Hypothesis and Test Statistic) A. Ho: p = 0.50; Ha: p < 0.50; z = 0.800 B. Ho: p = 0.50; Ha: p > 0.50; z = 0.800 C. Ho: p = 0.50; Ha: p > 0.50; z = 0.081 D. Ho: p = 0.50; Ha: p ≠ 0.50; z = 0.800 E. Ho: p = 0.50; Ha: p ≠ 0.50; z = 0.081 (p-value and conclusion) A. p = 0.540; FRHo (No sufficient evidence to reject the claim) B. p = 0.424; RHo (Sufficient evidence exists to reject the claim) C. p = 1.576; FRHo (No sufficient evidence to reject the claim) D. p = 0.424; FRHo (No sufficient evidence to reject the claim) E. p = 1.576; RHo (No sufficient evidence to reject the claim)
-Find the correct null hypothesis and for each correct alternative hypothesis 7. Suppose you hear a claim that the average score on a national exam is 78. You think the average is higher than that, and your sample of 100 students produces an average of 75. What are the null and alternative hypotheses?
A study done on a marriage counseling course showed that the proportion of couples for which the communication program can prevent divorce is 79%. Suppose we have strong reason to believe the proportion is less than 79%, and we carry out a hypothesis test. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. 1. Ho: 2. H1:
11% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the inner city have sleep apnea. Of the 340 people from the inner city surveyed, 51 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.01? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer (please enter a decimal) H1: ? v Select an answer (Please enter a decimal) 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 ? a f. Based on this, we should Select an answer | the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly larger than 11% at a = 0.01, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than…
A radio station states that 30% of the songs they play each week are from Canadian artists. A DJ working at the station claims that the actual percentage differs from what the station states. The DJ takes a random sample of 87 songs played during a given week and finds that 28 of them are from Canadian artists. Use this information to answer the questions below. a. Suppose the DJ wishes to perform a hypothesis test of his claim. Select the most appropriate null and alternative hypotheses for this hypothesis test. H0:p^≠0.3Ha:p^=0.3 H0:x―=0.3Ha:x―≠0.3 H0:μ≠0.3Ha:μ=0.3 H0:p=0.3Ha:p≠0.3 H0:μ=0.3Ha:μ≠0.3 H0:p≠0.3Ha:p=0.3 H0:p^=0.3Ha:p^≠0.3 H0:x―≠0.3Ha:x―=0.3 b. To assess his hypothesis, the DJ wants to compute a bootstrap-based confidence interval from his sample. Which of the following uses of the quantile() function would produce the correct interval bounds for a 96% bootstrap-based confidence interval? c(quantile(B$mean, 0.04), quantile(B$mean, 0.96)) c(quantile(B$mean, 0.02),…
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