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Q1. The sales volumes for the top real estate brokerage firms in the United States for a recent year were analysed using descriptive statistics. The mean annual dollar volume for these firms was $5.51 billion, the median was $3.19, and the standard deviation was $9.59 billion. Compute the value of the Pearsonian coefficient of skewness and discuss the meaning of it. Is the distribution skewed? If so, to what extent? If third moment about origin is $2327.53, determine first three moments about mean.
A doctor wants to compare the average price between two different brands of sanitizer during the COVID-19 outbreaks. For this reason, he has recorded the selling price of Brand A and B based on six and five random selected stores, respectively. The recorded prices are recorded in Table 2. Based on the sample data, at 0.01 level of significance, can we claim that the average price of Brand A is higher than Brand B? Make your conclusion using the p- value approach, with the aid of Mic. Office EXCEL.
Brand A RM10.50 RM11.00 RM11.50 RM11.20 RM12.00 RM11.80
Brand B RM11.00 RM12.00 RM10.70 RM12.20 RM10.40 RM10.50 RM12.20
Cannon shell impact position, as measured along the line of fire from the target point, can be described by a normal random variable X. It is found that 15.15% of shells fall 11.2 m or farther from the target in a direction toward the cannon, while 5.05% fall farther than 95.6 m beyond the target. what are the mean and standard deviation of distribution of X?
800 students have a mean weight of 75 kg and standard deviation of 5kg. How many students weigh more than 80 kg
Suppose that one box contains 201 long bolts and 323 short bolts ,and that the other box contains 505 long bolts and 412 short bolts. Suppose also that one box is selected at random and a bolt is then selected at random from that box. Find the probability that this bolt is long.
The probabilities of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005, respectively. Find the mean of the probability distribution.
Two types of rice varieties are being considered for yield and a comparison is needed. 28 hectares were planted with rice varieties exposed to fairly uniform growing conditions. The results are tabulated below:
Variety A Variety B
Average yield 68 sacks/ha 52 sacks/ha
Sample Variance 7.2 10.4
Is there a significant difference between variety A and variety B @ 5% significant level.
The mathematical scored of 6 groups of 4 students each are shown below. Test whether the
differences in scores may be attributed to chance at 0.01 level of significance.
Student 1 2 3 4 5 6
1 87 93 75 90 80 90
2 88 95 73 96 78 85
3 70 93 85 90 75 80
4 78 79 86 80 88 87
The following table shows the Final grade of ten students in Algebra and Statistics. Find out what
will be the student grade in Algebra if his grade in statistics is 100. Is there a significant
relationship between the grade in statistics and algebra? Interpret your result.
Algebra (x) 75 80 93 65 87 71 98 68 84 77
Statistics (y) 82 78 86 72 91 80 95 72 89 74
a district in the ashanti region town has 102 towns and villages. if you interviewed everyone living in one village, would you be interviewing a population or a sample from the village?
