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0 Question 20 V When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 34% ofthe eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 67 of the dragon eggs to incubate. Consider all the possible samples of 67 dragon eggs. What is the mean number of yellow eggs in samples of 67 eggs? (that 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 : What is the standard deViation in the number ofyellow eggs In samples of Size 67.7 (Give answer correct to at least one decimal place.) standard deviation : What is the variance in the number ofyellow eggs in samples of size 67? (Remember to calculate the answer using at least 5 decimal places, then give answer correct to at least one decimal place.) variance = > Next Question 3 3 pts '01 6) Details 0 Question 27 v The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22. Someone qualifies as having Stage 2 high blood pressure iftheir systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. % b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit ofan issue encoding rounded answers, so try rounding both up and down if there's an issue! people c. Stage 1 high BP is specified as systolic BP between \"I40 and 160. What percentage of adults in the US qualify for stage 1? % d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places. lbs > Next Question 0 Question 31 V Z 2 pts 01 G Details A population has parameters p : 29.1 and a : 31.5. You intend to draw a random sample of size n : 196. What is the mean of the distribution of sample means? #1 What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) 0': i > Next Question 0 Question 19 v 83mg 01 G) Details Assume that a procedure yields a binomial distribution with a trial repeated n : 5 times. Use either the binomial probability formula (or technology) to find the probability of k 7 4 successes given the probabilityp : 0.69 of success on a single trial. (Report answer accurate to 4 decimal places.) P(X > Next Question Question 28 3 pts 9 1 0 Details Suppose that a brand of lightbulb lasts on average 2596 hours with a standard deviation of 281 hours. Assume the life of the lightbulb is normally distributed. Calculate the probability that a particular bulb will last from 2082 to 3461 hours? P(2082 Next Question8hrs33mins X Question 22 4 pts Interpreting z-scores: Complete the following statements using your knowledge about z-scores. a. If the data is weight, the z-score for someone who is overweight would be O negative O positive O zero b. If the data is IQ test scores, an individual with a negative z-score would have a O high IQ O low IQ O average IQ c. If the data is time spent watching TV, an individual with a z-score of zero would O watch the average amount of TV O watch very little TV O watch a lot of TV d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be O positive O zero O negative > Next QuestionQuestion 21 2 pts 1 0 Details When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 22% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 59 of the dragon eggs to incubate. Consider all the possible samples of 59 dragon eggs. What is the usual number of yellow eggs in samples of 59 eggs? (Give answers as SENSIBLE whole numbers.) minimum usual number of yellow eggs = maximum usual number of yellow eggs = > Next Question. Question 24 4 pts 9 1 8 Details The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 42 ounces and a standard deviation of 5 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 95% of the widget weights lie between oz and OZ b) What percentage of the widget weights lie between 27 and 52 ounces? c) What percentage of the widget weights lie above 37 ? > Next Question. Question 32 v Z 2 pts 01 (D Details A population ofvalues has a normal distribution with p : 230.9 and a : 49.2. You intend to draw a random sample of size n : 22. Find the probability that a single randomly selected value is less than 201.5. P(X Next Question. Question 23 v Z 7 pts '01 6 Details The time to complete an exam is approximately Normal with a mean of 52 minutes and a standard deviation of 5 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. DDDDDDD > Next Question 0 Question 30 V 3/ 3 pts '01 (9 Details Adistribution of values Is normal with a mean of 200 and a standard deviation of 25. From this distribution, you are drawing samples of size 19. Find the interval containing the middle-most 76% of sample means: [: Enter your answer using interval notation. In this context, either inclusive or exclusive intervals would be acceptable. Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. > Next Question 0 Question 25 v Z 2 pts 01 (D Details Adult men have heights with a mean of 69.0 inches and a standard deviation of 2,8 inches. Find the height of a man with a zscore of 2.9 (to 2 decimal places) > Next Question 1 pt 1 8 Details Question 17 For families with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? ac P(x 7 0.028 2 0.2001 3 0.3662 4 0.2181 5 0.3502 O no Oyes > Next Question0 Question 29 V Next Question . Question 18 2 pts 9 1 0 Details Probability Scores 0.15 0.15 2 0.2 3 0.25 8 0.25 13 Find the expected value of the above random variable. > Next