Can I estimate a binomial (success vs failure) as a normal distribution with a sample size of 25 (lower than 30 depended by CLT)?
We can use normal approximation to binomial distribution for following conditions.
i) n * p >= 5
ii) n (1- p) >= 5
Where n = sample size and p is probability of success.
We have to consider both n and p here.
If both conditions are satisfied, use normal approximation,
Can I estimate a binomial (success vs failure) as a normal distribution with a sample size...
If a sample size is greater than 30, which of the following characteristics of the distribution of sample means is true? a.) Nothing can be assumed about the distribution of sample means. b.) The sample size needs to be increased by 10% so we can apply the Central Limit Theorem. c.) The distribution of sample means has a binomial distribution. d.) The distribution of sample means is approximately normal.
If a binomial distribution applies with a sample size of n=20, find the values below. a. The probability of 5 successes if the probability of a success is 0.30 b. The probability of at least 7 successes if the probability of a success is 0.25 c. The expected value, n = 20, p = 0.65 a. The probability of 5 successes if the probability of a success is 0.30 is _______ (Round to four decimal places as needed.) .
Decide whether you can use the normal distribution to approximate the binomial distribution. If you can use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot explain why and use the binomial distribution to find the indicated probabilities A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 600 adults and ask them to name their favorite sport. Complete parts (a) through (d). Determine whether a normal...
If a binomial distribution applies with a sample size of n=20, find the values below. a. The probability of 55 successes if the probability of a success is 0.50 b. The probability of at least 77 successes if the probability of a success is 0.25 c. The expected value, n=20, p=0.30 d. The standard deviation, n=20, p=0.30
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. In one county the conviction rate for speeding is 85%. Estimate the probability that of the next 100 speeding summons issued, there will be at least 90 convictions.
(22) The 99% confidence interval for the TRUE PROPORTION of success for a population is (0.318, 0.462). The random sample size is 300. (i) Please determine the SAMPLE proportion of success. (ii) Please determine the MARGIN FOR ERROR. (ii) Please determine the NUMBER OF SUCCESSFUL OUTCOMES. (23) The 90% confidence interval for the ACTUAL MEAN of a given population is (84, 90 ), via a "z" analysis. The random sample size is 81. (i) Please determine the (A) SAMPLE AVERAGE...
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. Estimate P(6) for n = 18 and p = 0.4 Group of answer choices a) 0.8513 b) 0.1608 c) 0.1015 d) 0.1958
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18) Random variable Xhas a binomial distribution with sample size (n) - 2 and probability of success (p)-0.4. PIX A)0.6 is given by, C) 0.9 B) 0.4 D 0.48
Page < 6 > of 12 Lesson 6.2.4: Binomial Distribution and Sample Proportions NEXT STEPS We have formulas for the mean (center) and standard deviation (spread) of a distribution of sample proportions. Don't forget the shape! Your graph was bell shaped-symmetric, high in the middle and low at the ends. It is similar to a normal distribution, not smooth, but still bell shaped. Your instructor will now use a computer applet to demonstrate the way that binomial distributions and distributions...
The normal distribution can be used to approximate the binomial distribution. In order to use the normal approximation, np and nq must be greater than or equal to 5. A correction for continuing must also be used true or false