1. (Witmer book – Page 116, Q: 3.6.12) Childhood lead poisoning is a public health concern in the UnitedStates. In a certain population, 1 child in 8 has a high blood lead level (defined as 30 µg/dl or more). In arandomly chosen group of 16 children from the population, what is the probability thata. None has high blood lead?b. 1 has high blood lead?c. 2 have high blood lead?d. 3 or more have high blood lead? Hint: Use parts a – c to help you answer.

Answered: 1. (Witmer book – Page 116, Q: 3.6.12)…

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.) The probability that the sample mean weight of this sample of 20 is greater than 9.75 is _____? b.) The probability that the sample mean weight of this sample of 20 is between 9.75 and 9.89 is ____? c.) There is only a 5% chance that the average weight of a sample of these 20 cheese wedges will be below _____ (answer the blanks)
4. For a population with a µ = 72 and o = 20. What is the probability of obtaining a sample mean greater than 75 a. for a random sample of N = 100 scores? b. for a random sample of N = 225 scores?
10. What is the probability of observing less than 3 heads in 4 tosses of a fair coin? A. 0.3125 B. 0.9375 C. 0.2500 D. 0.6875
Researchers wants to see if men have same blood pressure as women do. In the language of statistics, the most appropriate alternative hypothesis (H1) is that there is : O A. no difference between the population means. O B. a difference between the population means. O C. no difference between the sample means. D. None of these O E. a difference between the sample means.
A Japanese firm which maks electronic goods have fond that the 0.1% of products are defective. The probability that randomly selected product is defective is a/an … Select one: a. subjective probability b. apriori probability c. empirical probability
22)
21)
Find the P-value for a left-tailed hypothesis test with a test statistic of Z=−1.65. Decide whether to reject H0 if the level of significance is α=0.05 P-value= (Round to four decimal places as needed.)
3. Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is expressed as a number between 1 and 0. i. If a fair 6-sided die is rolled once. If A is the event of "rolling an odd number," write out A and A° а. b. If A = {1,2,3,4} and B = {4,5,6}, write out A°, B°, AB, and AUB. i. When two fair die are thrown together: a. What is the probability that the dice total is 4?
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 73 71 38 Male 61 90 76 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will be able to fly?
25)
1. Bill Alther is a zoologist who studies Anna’s hummingbird (Calypte anna). A random sample of nine of these birds was caught, weighed, and released in a remote part of the Grand Canyon. The weights observed (in grams) were : 3.7 2.9 3.8 4.2 4.8 3.1 3.5 4.3 3.0 Let x be a random variable representing weights of Anna’s hummingbirds in this part of the Grand Canyon. Assuming x has a normal distribution with sample standard deviation 0.648. The population mean is 4.55 grams. (a) Calculate the Sample Mean of the above mentioned data values.(b) Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.55 grams? Establish the Null and Alternate Hypothesis.(c) Compute the Test statistics of the sample data using Student’s t-distribution table. Take α= 0.05(d) Find the P-value or range of P-values.(e) Conclude the test and interpret the result. Note: Solve the first three parts only.

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