The empirical rule is used to determine if a categorical variable is approximately normally distributed.
The empirical rule follows three-sigma rule i.e. 68-95-99.7 rule which provides a quick estimate of the spread of data in a normal distribution for the given the mean and standard deviation. According to empirical rule:
68% of the data will fall within one standard deviation of the mean.
95% of the data will fall within two standard deviations of the mean.
99.7% of the data will fall within three standard deviations of the mean.
What rule is used to determine if a categorical variable is approximately normally distributed?
b. What do we need to do in order to determine whether a categorical variable can be treated as a normally distributed variable?
2. ONLY ANSWER QUESTION 3 According to the empirical rule, approximately what percentage of normally distributed data lies within one standard deviation of the mean? 3. WHAT IS THE ALTERNATIVE HYPOTHESIS below? A manufacturer claims that 10% of women using the "pill" suffer from side effects. The Federal Drug Administration (FDA) believes that the manufacturer's claim is too low and decides to test the manufacturer's claim at α = 5 %. A random sample of 900 women who use the manufacturer's...
2. A random variable is normally distributed s normally distributed with a mean of u = 50 and a standard deviation of o = 5. a. Sketch a normal curve for the probability density 50, 55, 60, and 65. of the probability density function. Label the horizontal axis with values of 35, 40, 45, b. What is the probability that the rando Tobability that the random variable will assume a value between 45 and 55? Empirical Rule. c. What is...
1. According to the empirical rule, in a normally distributed set of data, approximately what percent of the scores will be within 1 standard deviation (-1 to +1) away from the mean? 40% 95% 68% 75% 2. f you took an IQ test and your score was 2 standard deviations above average, assuming normal distribution, approximately what percent of all IQ test takers would your score be higher than? 98% 60% 70% 80% 3. if you took an IQ test...
Diameters of Lemon grown on citrus farm are approximately normally distributed with mean 7cm. it is known that approximately 99.7% of lemons have diameters between 5.5cm and 8.5cm. Using empirical rule,calculate approximately what percentage of lemons have diameters between 6cm and 7.5cm
2. ONLY ANSWER QUESTION 3 According to the empirical rule, approximately what percentage of normally distributed data lies within one standard deviation of the mean? 3. An auto manufacturer claims that its new 4-cylinder Hybrid auto with manual shift averages 50 mpg under city driving conditions. A Federal Agency believes this claim is too high and decides to randomly test 25 of the manufacturer's 4-cylinder Hybrid autos with manual shift. The Agency determines the mean average mpg for the sample...
A useful rule of thumb generally used when statistically treating known normally distributed data is the 68-95-99.7 rule. This rule stipulates that about 68% observations fall within __________ standard deviations, about 95% of observations fall within ________ standard deviations, and 99.7% of observations fall within __________ standard deviations.
The amount of dollars an American spends in a month on groceries is normally distributed with a mean of $300 and a standard deviation of $20. Using the standard deviation rule, approximately what percentage of spend between $240 and $360? O A 68% B. 95% 99.7% OD. 50% Question 4 2 points Save Ang Researchers sample a number of students and record their age (in years), year in school (Freshman, Sophomore, Junior, Senior), zip code, and income (as <$5,000 per...
Assuming the variable of interest is normally distributed in the population, the t-distribution is used to compute confidence intervals when:
A random variable X is normally distributed with mean 100 and standard deviation 7. What is the 67th percentile of the distribution of X? (PLEASE Use the empirical rule.) (a) 103.08 (b) 121.56 (c) .44 (d) 13.08 (e) 51.00