The empirical rule relates the standard deviation of a population to the probability of where a data point will fall on a normal curve. O True O False
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- The sum of deviation scores in any distribution (population or sample) is always equal to 0. true or falseThe number of dogs per household in a neighborhood is given in the probability distribution. Find the mean and the standard deviation. Round to 1 decimal. # of Dogs 1 4 P(x) 0.64 0.25 0.06 0.03 .02 a) What is the mean rounded to 2 decimal place? b) What is the standard deviation rounded to 2 decimal place? 3. 2.The WAIS is an IQ test. Scores on the WAIS for the 20-34 age group are normally distributed with a mean 110 and a standard deviation of 25. Scores for the 60-64 age group are normally distributed with a mean of 90 and a standard deviation of 25. For the age group 60-64, find the probability that a person in this age range scores less than 110. a. 0.7881 b. z= 0.8 or 80% c. 0.2119 or 21.19% d. 16%
- Which of the following statements are true? It is okay to use the median to estimate the mean since both are a measure of the center of a distribution. It is okay to use the standard deviation to estimate the IQR since both are measures of variability. Point estimates based on a sample are sometimes far from a parameter's value. i only ii only iii only i and ii i and iii i, ii, and iiiHelp me pleaseThe charts display the data of a price index of consumer goods. Has the index fluctuated around its mean according to a Normal model? Is a Normal model appropriate for these data? 200 150 - Index 100 50 750 Index 150.0 2250 recoes Choose the correct answer below. O A. The Normal model is appropriate because the histogram is unimodal, and the Normal probability plot is bent. O B. The Normal model is not appropriate because the histogram has a long, trailing high tail, and the Normal probability plot is bent. O C. The Normal model is not appropriate because the histogram is unimodal and symmetric, and the Normal probability plot is straight. O D. The Normal model is appropriate because the histogram is unimodal and symmetric, and the Normal probability plot is straight.
- Which statement about the normal distribution is false? Approximately 68 % of the data lie within 1 standard deviation of the mean. Approximately 99.7% of the data lie within 3 standard deviation of the mean. None of these is true. Approximately 95% of the data lie within 2 standard deviation of the mean. SAMSUNG C Oll % & ★A fair coin is flipped sixty times and the number of tails that occur is noted. A random variable X is defined as the number of tails. Find the expected value and the standard deviation. Expected value = nothing Variance = nothing Standard Deviation = nothingHow do I find the standard deviations?
- Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the x-values for 1, 2, and 3 standard deviations from the mean, and write in the probabilities between eachThe standard deviation is the _____. a. variance squared b. square root of the sum of the deviations from the mean c. positive square root of the variance d. same as the expected valueKarl Pearson developed a measure that describes the skewness of a distribution, called the coefficient of skewness. The formula is Skewness = 3 (mean-median)/standard deviation. The value of this measure generally lies between -3 and +3. The closer the value lies to -3, the more the distribution is skewed left. The closer the value lies to +3, the more the distribution is skewed right. A value close to 0 indicates a symmetric distribution. Find the coefficient of skewness of the following distributions and comment on the skewness. Compute the coefficient of skewness for the data in Problem 25 Problem 25 data: The following data (see photo) represent the weights (in grams) of random sample of 50 M&M plain candies.