. (a) Determine the proportion of the Market Cap data that lies within 1, 2, and 3 standard deviations of the mean. Determine, using the empirical rule, if the Market Cap data is approximately normally distributed. (b) Determine the proportion of the Revenue Growth data that lies within 1, 2, and 3 standard deviations of the mean. Determine, using the empirical rule, if the Revenue Growth data is approximately normally distributed. (Do not need to show detailed computations for standard deviations here- but do not to show computations used to find intervals and then for percent within your intervals)
Revenue Growth/Loss |
(% in last year) |
4.03 |
2.23 |
-2.58 |
6.98 |
9.05 |
9.8 |
-9.05 |
4.43 |
-8.23 |
0 |
-3.65 |
-3.05 |
-3.69 |
7.27 |
4.74 |
-12.39 |
4.33 |
4.38 |
-15.62 |
9.05 |
-6.27 |
0.1 |
1.25 |
-3.39 |
-3.12 |
-7.84 |
1.27 |
-7 |
-2.94 |
16.44 |
-0.55 |
-2.59 |
0.3 |
-13.83 |
-10.04 |
-6.04 |
5.3 |
-1.52 |
-1.3 |
-6.72 |
-1.91 |
-2.45 |
13.62 |
. (a) Determine the proportion of the Market Cap data that lies within 1, 2, and...
For normally (Gaussian) distributed data, what percentage of the data lies within 2 standard deviation(s) of the mean?
Sample Size: non-proportion and proportion data You would like to determine the average diameter of a cylindrical pin that is manufactured by your company. How many samples would we need to collect if we wish to be 97% confident that the sample mean will be within 0.0005 inch of the true mean given that the population has a standard deviation of 0.0015 inch and is approximately normally distributed.
1 1. I DONT NEED THIS QUESTION ANSWERED ONLY NEED NUMBER 2 According to the empirical rule, approximately what percentage of normally distributed data lies within one standard deviation of the mean? 2. 25 college male students indicates that the mean pulse rate, while at rest, is 67.5 beats per minute with a sample standard deviation is 6.9 beats per minute. The margin of error for the 90% CI is:
4 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. The following random sample of 28 female basketball player heights, in inches, is: 63 71 69 65 73 84 70 69 67 74 75 68 65 63 67 69 68 72 73 75 72 75 73 68 69 74 65 65 What is the shape of the this box plot?
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. 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...
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...
1)In a standard normal distribution, what proportion of the data set is within 1.75 standard deviations away from the mean? Write your answer in percent and with 2 decimal places. (Answer: 91.99 (with margin: 0.01) please show your work.) 2)A 100-point test was administered to a statistics class. Jack's score was in the 80th percentile. Suppose the statistics class has 120 students and all of them took the test, how many students scored lower than or equal to Jack's score?(Answer:96.0...
1. Determine the area under the standard normal curve that lies to the right of z = -.22 z = .29 c = 1.05 and d = -.97 2. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275. Round your answer to four decimal places. 3. The...
Thickness measurements of ancient prehistoric Native American
pot shards discovered in a Hopi village are approximately normally
distributed, with a mean of 4.6 millimeters (mm) and a standard
deviation of 1.0 mm. For a randomly found shard, find the following
probabilities. (Round your answers to four decimal places.)
(a) the thickness is less than 3.0 mm
(b) the thickness is more than 7.0 mm
(c) the thickness is between 3.0 mm and 7.0 mm
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