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Geometric Mean :
If there are X1, X2,...., Xn are n observations then the geometric mean is given by,
Geometric mean = (X1×X2×... ×Xi)1/n
Where,
n = number of observations.
Step by step
Solved in 2 steps
- 3. The amount of time (in minutes) it took each individual in a sample of athletes to run a mile was recorded. In this particular sample, most of the athletes were able to run the mile quickly, but there were a small number of athletes who were not fast runners and needed more time to complete the mile. Two measures of center were computed for this sample: 12.9 minutes and 9.5 minutes. One of these measures is the mean and one is the median. Which measure must be the mean? A. The mean is 9.5 minutes because the distribution of running times would be skewed to the left. B. The mean is 9.5 minutes because the distribution of running times would be skewed to the right. c. The mean is 12.9 minutes because the distribution of running times would be skewed to the left. D. The mean is 12.9 minutes because the distribution running times would be skewed to the right.Question 2. Crescent Oil has developed three new blends of gasoline and must decide which blend or blends to produce and distribute. A study of the miles per gallon ratings of the three blends is being conducted to determine if the mean ratings are the same for the three blends. Five automobiles have been tested using each of the three gasoline blends and the miles per gallon ratings; Automobile (Block) 12345 2 4 5 Type of Gasoline (Treatment) Blend X Blend Y Blend Z 31 30 29 33 26 30 29 29 31 25 29.8 30 29 28 Treatment Means a. Compute the analysis of variance for the randomized block design 28.8 29 26 28.4 Block Means 30.333 29.333 28.667 31.000 25.667Which of the following z-score values represents the location farthest from the mean? Question 21 options: z = +0.50 z = +1.00 Z=-1.00 z = -2.00
- A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 75 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample I for Men vs Women Mean 112.8 118.1 StDev SE Mean Men Women 95% Cl for mu Men - mu Women (-9.81, - 0.79) T-Test mu Men = mu Women (vs <) T= - 2,34 P = 0.0104 DF = 126 54 11.2 14.5 1.5 75 1.7 P-value = 0.0104 State the researcher's conclusion. Which of the following is correct? O A. Fail to reject Ho, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women O B. Reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women O C. Fail to reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men…QI. Define the Statistics.Hellen has just started a new years competition for her local climbing gym. There are two categories for this competition: singles and group (18 people). The rules are simple, put in the most hours in one months time and you get a guided tour to climb Ten Sleep canyon. She knows from running this competition over the years that the number of hours climbers at her gym spend training during this competiton is approximately normal and their mean competition hours per month in the gym are 24 hrs with a standard devaition of 6 hrs. Singles Distribution: X~N( , ) Group Distribution: x̄~N( , ) The winning single participant last year was in the 97 th percentile.... how many hours did the winner accumulate over the month? One of Hellan's friends Dave put in 27.12 hours on the wall. What is the probablity that another individual will beat his time? If someone puts in between 25.5-32.1 hours on the wall they get a Mountain Goat shirt. What percent of the singles competitors is expected to…
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- Exhibit 13-31 To test whether or not there is a difference between treatments A, B, C and D, a sample of 12 observations has been randomly assigned to the four treatments. You are given the results below. Treatment A B 2 C D 1.872 46.33 15.44 Observation 36 30 26 30 26 25 33 Refer to Exhibit 13-31. The mean square between treatments (MSTR) equals 20 28 28 22 34 28South Dakota prices vary $350,000: $400,000:$400,000:$425,000:$429,000: $440,000: $560,000: $585,000,: $585,000: $785,000 : $1,300,000. We found the following Mean = 569000 SD = 272703.1353 T score = .7113 P Value = .4932 CI: 385795.5409,752204.4591 If you had a margin of error of $13,000 how large of sample would you need with a 90% confidence interval using the given tscore.Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students. The scores are given. Complete parts (a) through (c) below. 32 54 11 15 35 21 OA. 158 34 15 55 51 11 35 2 1457 3 1234567 4123445566 511245666 34 33 46 OB. 11155 (a) Find the mean and median of the data. The mean is . (Round to three decimal places as needed.) 44 26 27 The median is .(Type an integer or a decimal.) (b) Draw a stem-and-leaf plot for the data using one row per stem. Which stem-and-leaf plot below shows the data? 2 112677 3 233445556 4 244666 5 1456 ... 21 42 38 OA. The distribution is symmetric. B. The distribution is skewed right (positively skewed). OC. The distribution is skewed left (negatively skewed). O D. The distribution is uniform. (c) Describe the shape of the distribution. Which description below best describes the shape of the distribution? 56 46 OC. 1112455668 2 14556 3 15 4 13457 5 223446667 46 27 33 35 22 44 36 0…
