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A sampling distribution of means of all possible samples so size 100 is formed. The parent population has a mean is 5 and the standard deviation is 1.4. Find the value of sample mean.
(b) Population consists of four numbers. 16, 18, 18, 20. Take all possible samples of size three. Calculate mean and variance of sample means and compare them with population mean and variance.
(a) The height of trees a normally distributed with mean 160 cm and standard deviation is 8 cm.
Find the probability data randomly selected tree has a height greeter than 170 cm
Find the probability that tree has a height greeter than 180 cm.
Give intuitive reason why your answers are relative.
(b) Find median and mode.
A car rental agency has three rental locations, denoted by 1, 2, and 3. A customer may rent a car from any of the three locations and return the car to any of the three locations. The manager finds that customers return the cars to the various locations according to the following probabilities [{0.8, 0.3, 0.2}, {0.1, 0.2, 0.6}, {0.1, 0.5, 0.2}] If a car is rented initially from location 2, then the initial state vector is x = {0, 1, 0}. Calculate x (1) , x (2) , and x (3) to three decimal places

If X is distributed normally with mean 12 and standard deviation 4. Find i) P(X>20) , ii) P(X<20), iii)

p(0<X<12)


a In how many different ways can it select a group of 4 members?




b In how many different ways can it elect a president, vice-president, secretary and treasurer? One member CANNOT hold more than one job. (optional)
Problem 3

Table 3 shows the selling price of a specific brand of sanitizer at six stores before and after the COVID-19 pandemic. At 0.05 level of confidence level, can we make a conclusion that on average, the price has not changed? Make your conclusion using the p-value approach, with the aid of Mic. Office EXCEL.

Table 3

Before RM10.50 RM11.00 RM10.50 RM11.20 RM10.70 RM10.80
After RM10.80 RM12.00 RM10.50 RM11.20 RM10.80 RM10.80

(10 marks)
This is assignment of statistics
Questionnaire title/assignment title:
Challenges and obstacles of online learning faced by higher education students in Bangladesh
Methods of questionnaire: structured unstructured or mix
Assignment format doc type

Please I need urgent asnwer this within 20 hours
This is assignment of statistics
Questionnaire title/assignment title:
Challenges and obstacles of online learning faced by higher education students in Bangladesh
Methods of questionnaire: structured unstructured or mix
Assignment format doc type
To develop programs for business travelers staying at conventional hotels, a major hotel chain
commissioned a study of executives who play golf. The study revealed that 55% of the
executives admitted they have cheated at golf. Also, 20% of the executives admitted that they
had cheated at golf and had lied in business. Given an executive who had cheated at golf, what
is the probability the executive also had lied in business?
The investigation of consumer product complaints by the Federal Trade Commission (FTC) has
generated much interest by manufactures in the quality of their products. A manufacturer of an
electromechanical kitchen utensil conducted an analysis of a large number of consumer
complaints and found that they fell into the six categories shown in Table 3.6. If a consumer
complaint is received, what is the probability that the cause of the complaint was product
appearance given that the complaint originated during the guarantee period?
Distribution of product complaints
Reason for Complaint
Complaint Origin Electrical Mechanical Appearance Totals
During guarantee period 18% 13% 32% 63%
After guarantee period 12% 22% 3% 37%
Totals 30% 35% 35% 100%
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