sample size, n = 140
standard deviation, s = 11.45
standard error of the mean, SE = s / n^1/2 = 11.45 / 140^1.2 = 0.9677
95% confidence interval => mean +- 1.96SE
95% CI = 86.5 - 1.96*0.9677; 86.5 + 1.96*0.9677
= 84.6; 88.4
at first, it was held randomly; but since the world war II, the chess olympiad has been held at a time interval of every 2 years.
That is the correct spelling of the word "randomly" (by chance).
To find the probability of a randomly selected woman having a height within a specific range, we can use the normal distribution with the given mean (μ = 63.6 inches) and standard deviation (σ = 2.1 inches). For instance, if we want to find the probability that a randomly selected woman is shorter than 65 inches, we would calculate the z-score using the formula ( z = \frac{(X - \mu)}{\sigma} ), where ( X ) is the height in question. After calculating the z-score, we would consult the standard normal distribution table or use a calculator to find the corresponding probability. If you have a specific height range in mind, please specify for a more detailed calculation.
To find the probability of a randomly selected applicant receiving a credit rating above a certain value, you would first need to determine that value. For example, if you want to find the probability of an applicant having a rating above 250, you would calculate the z-score using the formula ( z = \frac{(X - \mu)}{\sigma} ), where ( X ) is the rating, ( \mu ) is the mean (200), and ( \sigma ) is the standard deviation (50). After calculating the z-score, you can use the standard normal distribution table or a calculator to find the corresponding probability.
If dealt from a randomly shuffled pack it is 0.0399, approx.If dealt from a randomly shuffled pack it is 0.0399, approx.If dealt from a randomly shuffled pack it is 0.0399, approx.If dealt from a randomly shuffled pack it is 0.0399, approx.
The confidence interval for this problem can be calculated using the following formula: Confidence Interval = p ± z*√(p*(1-p)/n) Where: p = observed proportion (54%) n = sample size (80) z = z-score (1.96) Confidence Interval = 0.54 ± 1.96*√(0.54*(1-0.54)/80) Confidence Interval = 0.54 ± 0.07 Therefore, the confidence interval is 0.47 - 0.61, meaning that we can be 95% confident that the percentage of voters who prefer the referred candidate is between 47% and 61%.
Both are measures of the spread of the data around a mean or average. In fact the standard deviation == sqrt(variance). The standard deviation (SD) is defined to be the square root of the sample variance (V). EX: Some value X = M +/- 1 SD indicates that there is roughly a 2/3 probability that the value will fall randomly within the interval from minus one SD up to plus one SD around the mean M.
Approx 0.0027
To analyze the variation of vitamin supplement tablets, calculate the mean and standard deviation of the weights of the 14 tablets. With a 90% confidence level, determine the margin of error using the t-distribution. This margin of error will help define the range within which the true mean weight of the tablets is likely to lie.
.820=82.0%
Either he likes you and just worked up the confidence to talk to you, in which case talk back, or his confidence will shatter, or he was dared by his friends and he doesn't really know you.
0.9699
at first, it was held randomly; but since the world war II, the chess olympiad has been held at a time interval of every 2 years.
The probability can be calculated by finding the proportion of the interval where the diameter is greater than 7.4 mm. In this case, the proportion of the interval greater than 7.4 mm is (8.5 - 7.4) / (8.5 - 6.8) = 0.55, so the probability is 55%.
84% To solve this problem, you must first realize that 66 inches is one standard deviation below the mean. The empirical rule states that 34% will be between the mean and 1 standard deviation below the mean. We are looking for the prob. of the height being greater than 66 inches, which is then 50% (for the entire right side of the distribution) + 34%
Randomly
randomly