**Sample Size and Binomial Experiment:**For a given binomial experiment, the sample size $ n $, probability of success $ p $, and probability of failure $ q $ are given. Determine whether you can use a normal distribution to approximate the distribution of $ x $.**Data Provided:**- $ n = 20 $- $ p = 0.91 $- $ q = 0.09 $**Question: Can a normal distribution be used to approximate the distribution of $ x $?****Options:**- **A.** No, because $ np < 5 $.- **B.** Yes, because $ np \geq 5 $ and $ nq \geq 5 $.- **C.** No, because $ nq < 5 $.- **D.** No, because $ np < 5 $ and $ nq < 5 $.**Explanation:**To use the normal approximation for a binomial distribution, both conditions $ np \geq 5 $ and $ nq \geq 5 $ must be satisfied. Calculate these values to make a proper selection.

Answered: The sample size n, probability of…

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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Explain why a distribution with median M=82, mean=71, and standard deviation σ=11 cannot be a normal distribution. Choose the correct answer below. A. The mean is not equal to the median. B. The mean is not equal to the standard distribution. C. The median is not equal to the standard distribution. D. The median is within one standard distribution of the mean.
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
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Private nonprofit four-year colleges charge, on average, $26,375 per year in tuition and fees. The standard deviation is $6,685. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,855 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
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Use the normal distribution to the right to answer the questions. Standardized Test Composite Scores (a) What percent of the scores are less than 19? (b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21? µ = 20.7 o = 5.4 19 21 Score
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The standard deviation of a variable that has a normal distribution controls? a. The spread of the curve and is interpreted as the typical distance and observation is from the mean b. The spread of the curve and is interpreted as the typical outcome c. The probability is equivalent to the binomial formula calculation, but very rare d. The location of the curve and is interpreted as the mean or average outcome
? Y pre Is the following statement true, or false? Answer using the pull down menu. 1. As a general rule, the normal distribution is used to approximate the sampling distribution of the sample proportion only if the expected successes and failures obey: np > 10 and n(1-p) ≥ 10. previe
Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance α using the given sample statistics. Claim: p≠0.21; α=0.05; Sample statistics: p=0.16, n=175 Can the normal sampling distribution be used? A. Yes, because both np and nq are greater than or equal to 5. Your answer is correct. B. No, because np is less than 5. C. Yes, because pq is greater than α=0.05. D. No, because nq is less than 5. State the null and alternative hypotheses. A. H0: p≥0.21 Ha: p<0.21 B. H0: p=0.21 Ha: p≠0.21 This is the correct answer. C. H0: p≤0.21 Ha: p>0.21 Your answer is not correct. D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical value(s) is/are…
← The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 7.8 cm. a. Find the probability that an individual distance is greater than 218.90 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 203.30 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) F7 View an example Get more help - 7 F8 U F9 * 8 S 4 T DELL F10 -!!!/ ( 9 O F11 ) O F12 P Clear all PrtScr 13 { [ + 11 = Check answer 86°F Mostly sunny Insert Delete Backspace 1 2 S Inco P Ca PgUp Num Lock
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