Question 1.3A good practice example which highlights the difference between ordinary distribution of X andsampling distribution of X with separate word problems follows:Intelligence Quotient (IQ) is normally distributed with mean 110 and standard deviation of 10. Amoron is a person with IQ less than 80.a) Find the probability that a randomly chosen person is a moron.b)Let a dumb idiot be defined as one with an IQ less than 90. Find the probability that arandomly chosen person is a dumb idiot.c) If a sample of 25 students is available,i.ii.what is the probability that the average IQ exceeds 105?What is the probability that the average IQ exceeds 115.

Probability of the standard normal variate is calculated when they follow normal distribution. The…

Answered: Question 1.3 A good practice example…

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 b please
If the average low temperature of a winter month in Rochester, NY is 18∘18∘ and the standard deviation is 3.4∘3.4∘, then according to Chebyshev's theorem, the percentage of average low temperatures in Rochester, NY between 12.56∘12.56∘ and 23.44∘23.44∘ is at least %.
In a 25-unit sample of a variable with a population average of 50, the Mean was 53 and the variance was 100. Which of the following is the test statistic for hypothesis testing? Please select one: a. 2.5 b. 1 c. 0.75 d. 3 e. 1.5
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
. What are the values of SS and variance s? for the following sample of n=3 scores? Sample: 1, 4, 7
3. Class problems for Chapter 2: 1) Suppose students' grades in statistics class have a symmetrical and bell-shaped distribution with a mean equal to 77 and a standard deviation of 6. Answer the following questions: a. What is the percentage of grades that are less than 83? b. What is the percentage of grades that are greater than 65 and 89? c. What is the z-score for grade = 70? d. What percentage of grades have a z-score of greater than 1?
Suppose height of men in the US is normally distributed with mean 70 inches and standard deviation 3 inches (this is like problems from homework 7 a) Find the probability that a randomly selected male has blood is taller than 6’2”. b) Find an interval that contains the middle 95% of men’s height. c) Find the probability that the sample mean height of 10 randomly selected men exceeds 6’2” feet.
The normal distribution plays an important role in statistics. Write a briefdescription on each of the following aspects: i) the key features of a normaldistribution; ii) two variables which occur naturally as a normal distribution; iii) a variable where you would prefer to use the median as the measure of centraltendency.
It is not essential to know the value of the population variances to test for the equality of two variances from independent samples. O a. True O b. False
2) A psychology teacher decided to fail 12% of her class of 40 students. The exam results of the class were roughly normally distributed with a mean of 74 and a standard deviation of 7. A. What score must a student get in order to pass? B. How many students would get a score between 77 and 85?
2. Ms. Palac, a sociologist, made a study on the age in years of a woman at the time of her first marriage. She randomly selected a sample of 24 and 21 married women from Village A and Village B, respectively. The following data are the mean and standard deviation for each group: Village A: x = 18.63 and s = 5.54 Village B: x = 24.90 and s = 5.54 Test the hypothesis that the women in Village A get married younger than women in Village B. Use 0.10 significance level. Step 1: Null and Alternative Hypothesis Ho: Ha: Step 2: Level of Significance and appropriate test statistic Step 3: Determine the Critical Region Degrees of Freedom (df): Critical Region: Step 4: Compute the z or t value Computations: Step 5: Decide whether to accept or reject Ho Step 6: Conclusion
Suppose that the time it takes a student to complete an assignment is normally distributed with mean 60 and variance 100 then the 65th percentile of the average time it takes a random sample of 36 students to complete the assignment is closest to O a. 61. O b. 59. O c. 66. O d. 64. O e. 56.

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