A worldwide organization of academics claims that the mean IQ score of its members is 112, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 114.2. If the organization's claim is correct, what is the probability of having a sample mean of 114.2 or less for a random sample of this size? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

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Answered: A worldwide organization of academics…

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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A professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 12.4. In his class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?
A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? Round your answer to four decimal places.
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The mean GPA of all 45,038 students at Uneeda College is 3.21. A random sample of 50 GPAs from the school has a mean of 3.16. Is the value 3.21 a parameter or a statistic?
Part 1 of 4 Victoria, an accomplished marathon runner, claims that the standard deviation for her time to run a 26.2 mile marathon is less than 17.5 minutes. To test her claim, Victoria looks up 11 of her race times (in minutes): 227.2, 233.3, 259.7, 265.8, 252.1, 228.8, 222.6, 202.9, 214.5, 237.2, 267.7 Perform a hypothesis test using a 9% level of significance to test Victoria's claim. Step 1: State the null and alternative hypotheses. 17.5 Ha:0
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A hypertension trial is mounted, and 12 participants are randomly assigned to receive either a new medication or a placebo. Each participant takes the assigned medication, and the participants’ SBP is recorded after 6 months on the assigned medication. The data are shown in Table 7–9. Is there a difference in mean SBP between treatments? Run the appropriate test at a = 0.05. Placebo New Medication 134 114 143 117 148 121 142 124 150 122 160 128
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Please also explain why you determined whether or not the results are statistically significant. In another memory experiment, the mean scores for participants in Condition A and Condition B came out exactly the same!
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