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Compute the skewness and determine the kind of distribution of the data sets given
the following characteristics.
1.) Mean = 45, Median = 44, Standard Deviation = 6
2.) Mean = 68, Median = 70, Standard Deviation = 15
3.) Mean =23.75, Median =23.75, Standard deviation = 2.5
To ensure a growing season of sufficient length, Mang Popoy has at most 16 days left to
plant corn and soybean . he can plant com at a rate of 10 hectares per day and soybean at
15 hectares per day. If he has at most 200 hectares available, how many hectares of each
type of crop can he plant?
solve the recurrence relation using generating functions An+1-An=3n )n>0 with AQ=1
suppose that the average outstanding credit card balance for young professionals is Php 11,200 with standard deviation of Php 2,600. In simple random sample of 150 young professionals, what is the probability that the mean outstanding credit card balance does not exceeds Php 12, 300?
Q.You have been hired as a researcher for a prominent research-based organization and you have been allocated a new project for helping out a client.
You know that the time taken to complete similar projects is normally distributed with a mean of 50 days and a standard deviation of 4 days.
a. What is the probability of finishing this project within 45 – 55 days? (5 Marks)
b. When do we use Poisson Distribution? Give two example scenarios. (5 Marks)
Consider the following sample. It contains the weights of 25 participants:
55, 57, 58, 43, 62, 67, 71, 69, 66, 51, 72, 62.5, 58.5, 61, 72.5, 75, 44, 48, 49, 49.5, 49, 62, 66, 71, 58.
Calculate and plot the following using MS-Excel.
Write the formula and show the steps.
a. Variance
b. Standard deviation
c. Histogram
d. Ogive
Note: For histogram and ogive use bins numbers as 40, 45, 50, 55, 60, 65, 70
A health scientist has created three different diet plans for a weight loss program. He conducted an experiment with 24 volunteers to see the impact on weight loss. He measured the weights of the volunteers before the start of the diet plan. Then they were assigned to one specific diet plan for a month. After one month their weights were measured again. The differences in weights are given in the table below for each of the diet plans. Read data table and answer the questions.
Table (3Rows/8 columns)
DietPlan1|DietPlan2|DietPlan3
2 -2.1 7
8.5 2 5.6
1.9 1.7 3.4
3.1 4.3 6.8
1.5 7 7.8
3 0.6 5.4
0.9 2.7 6.8
2.8 2 5
a. Conduct ANOVA on the above table. Do you find a significant difference in weight loss due to the three diet plans?
Explain and interpret using both the p-value and F-critical value from the output. Use MS-Excel for the analysis.
b. Why do you think ANOVA is required to answer this question?
A 2 lbs of weight is attached to a lower end of the suspended spring in a medium with negligible resisting force. The spring has a spring constant of 18 lb/ft. The weight comes to rest in its equilibrium position. At t = 0 an external force of f(t) = 6 tan(3t) is applied to the system. Determine the resulting motion of the system.
A system vibrates according to the equation x ''(t)+9x(t)=6sin3t , where x is the displacement and t is the time. Determine a general solution for x(t) by using the method of undetermined coefficients .
Using double integral fund the area of region enclosed by √x+√y=√a and x+y=a
#339914 on Dec 2023