Under what circumstances does the sampling distribution of the proportion approximately follow the normal distribution?
The sampling distribution of p is approximately normally distributed if N is fairly large and π is not close to 0 or 1. A rule of thumb is that the approximation is good if both N π and N(1 - π) are both greater than 10.
Under what circumstances does the sampling distribution of the proportion approximately follow the normal distribution?
19) The Sampling Distribution of the Sample Proportion is approximately Normal if np(1 – p) is > 10. If p = 0.1, how large must the Sample be in order for the Sampling Distribution of the Sample Proportion to be approximately Normal? (Round UP to the nearest whole number).
The scores on the SAT verbal test in recent years follow approximately the normal distribution distribution. Students get a mean score of 517 with a standard deviation of 111. Use technology to answer these questions. a. What is the proportion of students scoring under 400 (4 decimal positions)? b. What is the proportion of students scoring between 400 and 5507 (4 decimal positions) c. What is the proportion of students scoring over 5507 (4 decimal positions) d. How high must...
The scores on the SAT verbal test in recent years follow approximately the normal distribution distribution. Students get a mean score of 533 with a standard deviation of 109. Use technology to answer these questions. a. What is the proportion of students scoring under 400 (4 decimal positions)? b. What is the proportion of students scoring between 400 and 550? (4 decimal positions) c. What is the proportion of students scoring over 550? (4 decimal positions) d. How high must...
A normal distribution has mean 50 and standard deviation 4. Approximately what proportion of this normal distribution lies above 58?
Under what circumstances will the distribution of sample means be normal? O Only if the population distribution is normal O It is always normal If the population is normal or if the sample size is greater than 3 O Only if the sample size is greater than 30
If I has a normal distribution, then 7 always has a normal distribution. True False Under what condition does the sample mean ī not have a normal distribution? Population is not normal but the sample size n > 30. Population is not normal and sample size n <30. Population is normal. The Central Limit Theorem for a sample mean (@) is very important in Statistics because it states that for large sample sizes, the population distribution is approximately normal. for...
(1 point) The summer monsoon rains in India follow approximately a Normal distribution with mean 852 millimeters (mm) of rainfall and standard deviation 82 mm. Note: Use Table A to nnd the proportion or percentage below (a) In the drought year 1987, 697 mm of rain fell. In what percent of all years will India have 697 mm or less of monsoon rain? (b) "Normal rainfall. means within 20% or the long-term average, or between 683 mm and 1022 mm...
10 The sampling distribution of the population proportion is based on a binomial distribution. What condition must be met to use the normal approximation for the confidence interval? Show work in excel.
Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What percent of students scored below 70 points?
[Normal Distribution] Historically, the one-year returns follow approximately the normal distribution. The one-year return for the S&P 500 was +27% (that is, 0.27) and its standard deviation is 20% (that is, 0.2). What is the probability that a stock in the S&P 500 gained 30% or more last year?