Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.(a) Suppose n =30 and p = 0.25. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.)np = 7.5ng =Yesbe approximated by a normal random variable because both np and nq exceed vcanWhat are the values of , and o? (Use 3 decimal places.)(b) Suppose n = 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not?No,p cannotbe approximated by a normal random variable because np does not exceed(c) Suppose n = 51 and p = 0.24. Can we approximate p by a normal distribution? Why? (Use 2 decimal places.)np =nq =Yesbe approximated by a normal random variable because both np and nq exceedcanWhat are the values of u, and o,? (Use 3 decimal places.)LO

a)Givenn=30p=0.25q=1-p=1-0.25=0.75

Answered: Suppose we have a binomial experiment…

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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Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 15 17 17 20 15 12 13 16 15 12 State the null and alternate hypotheses. H0: ? = 14; H1: ? < 14 H0: ? > 14; H1: ? = 14 H0: ? < 14; H1: ? = 14 H0: ? = 14; H1: ? ≠ 14 H0: ? = 14; H1: ? > 14 What is the value of the sample test statistic? (Round your answer to three decimal places.)
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Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. Refer to screenshot. (a) Suppose n = 27 and p = 0.23. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.) for the second part the options are: (Yes, no) p̂ (can, cannot) be approximated by a normal random variable because (np exceeds, np and nq do not exceed, nq exceeds, nq does not exceed, both np and nq exceed, np does not exceed) ___________ (fill in blank). What are the values of ?p̂ and ?p̂? (Use 3 decimal places.)
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Samples of size n- 9 are selected from a normal population withp -80with o- 18. What is the standard error for the distribution of sample means? OM-5 OM- 18 O M- 6 0 0
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