When dragons on planet Pern lay eggs, the eggs are either green or yellow. Biologists have observed over the years that 30% of the eggs are yellow, and the rest are green. Next spring, the lead scientist has permission to randomly select 46 of the dragon eggs to incubate. Consider all the possible samples of 46 dragon eggs.1. **What is the mean number of yellow eggs in samples of 46 eggs?** (This is the same as asking for the expected value of the number of yellow eggs) *(Give answer correct to at least one decimal place.)* - **Mean =** [Text box]2. **What is the standard deviation in the number of yellow eggs in samples of size 46?** *(Give answer correct to at least one decimal place.)* - **Standard deviation =** [Text box]3. **What is the variance in the number of yellow eggs in samples of size 46?** *(Remember to calculate the answer using at least 5 decimal places, then give the answer correct to at least one decimal place.)* - **Variance =** [Text box]

Given that p=30%=0.30 , q=1-p=1-0.30=0.70 n=46 X~Binomial(n=46, p=0.30)

Answered: When dragons on planet Pern lay eggs,…

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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Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
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