The mean SAT score in mathematics is 523. 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.**Null Hypothesis (\( H_0 \)):** \(\mu = 523\)**Alternative Hypothesis (\( H_1 \)):** \(\mu > 523\)The image includes a box for inputting mathematical symbols, allowing for the selection of variables, Greek letters, and inequality signs to build hypotheses.

Given that : Population mean = 523 By using hypothesis testing concept; Ho : H1 :

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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Choose the correct NULL hypothesis for the given scenario. The school board is wondering about pedestrian safety in the school zone. They conduct a study to determine whether or not traffic moves at the posted limit of 25 miles per hour during the school day. A. ?≠25μ≠25?≠25μ≠25 B. ?=25μ=25?=25μ=25 C. ?⎯⎯⎯=25x¯=25?⎯⎯⎯=25x¯=25 D. ?⎯⎯⎯≠25
Which set of numbers would correspond to a hypothesis test with the greatest power? Cohen's d = 0.6 & n = 500 O Cohen's d = 0.6 & n = 50 O Cohen's d = 0.5 & n = 50 O Cohen's d = 0.5 & n = 500
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According to a recent census, 14.3% of all housing units in a certain country are vacant. A county supervisor wonders if her county is different from this. She randomly selects 893 housing units in her county and finds that 162 of the housing units are vacant. Complete parts a through d below. a) State the hypotheses. Let the proportion of housing units in the county that are vacant be denoted by p. Choose the correct answer below. OA. Ho: p<0.143 HA: P = 0.143 O C. Ho: p=0.143 HA: P<0.143 OB. Ho: p=0.143 HA: P = 0.143 O D. Ho: p20.143 HA: P<0.143 b) Name the model and check appropriate conditions for a hypothesis test. What kind of test is this? Choose the correct answer below. Two-proportion t-test Difference in proportions test Proportional t-test O One-proportion z-test Check the appropriate conditions for a hypothesis test. Select the correct choice below and fill in the answer boxes within your choice. (Round to one decimal place as needed.) successes and nqo = than 10. OA. The…
A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill? a. Determine the null and alternative hypotheses. b. What is the conclusion for this hypothesis test?
The mean SAT Score in mathematics is 506. 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.
In Bloomington, they randomly sampled 260 female voters, and 190 male voters. They collected data on the respondent's opinion on an environmental bond issue. We want to know whether there is good evidence that one's gender influences whether a person is for or against the bond issue. Use α = 0.05. For Bond Issue Against Bond Issue Total 52 260 17 190 69 450 Men Women Total a) What is the correct null hypothesis? O Ho: P₁ P2 P3 P4 O Ho: P₁ P2 = P3 P4 O Ho: Gender and Bond Issue Attitudes are Independent. O Ho: Gender and Bond Issue Attitudes are dependent. b) Fill in the expected values, round answers to 1 decimal place. For Bond Issue Against Bond Issue Expected Values Men Women c) Chi Square Test Statistic = 208 173 381 Degree's of Freedom = d) The p-value = 1 decimal place 3 decimal places e) What is the correct conclusion? O Because the p-value is greater than alpha, we reject the Ho. There is statistical evidence that attitudes on the bond issue are dependent on gender. O Because…
7.54 [Data Set: TRAPS] LOBSTER TRAP PLACEMENT. Refer to the Bulletin of Marine Science (April 2010) observational study of lobster trap placement by teams fishing for the red spiny lobster in Baja California Sur, Mexico, Exercise 6.1270. Trap-spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are reproduced in the accompanying table. Let u represent the average of the trap-spacing measurements for the population of red spiny lobster fishermen fishing in Baja California Sur, Mexico. In Exercise 6.29O you computed the mean and standard deviation of the sample measurements to be = 89.9 meters and s = 11.6 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. 93 99 105 94 82 70 86 Source: Based on G. G. Shester, "Explaining Catch Variation Among Baja California Lobster Fishers Through Spatial Analysis of Trap-Placement Decisions," Bulletin of Marine Science, Vol. 86, No. 2, April 2010 (Table 1), pp.…
The average wait time to get seated at a popular restaurant in the city on a Friday night is 13 minutes. Is the mean wait time less for men who wear a tie? Wait times for 16 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 11, 14, 14, 14, 13, 13, 10, 11, 10, 10, 12, 10, 12, 14, 13, 11 What can be concluded at the the a = 0.05 level of significance level of significance?

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