Statistics and Probability Answers

Whats the answer of 5¯⁴(58)?

The table below shows the average body weight 'W' and food consumption 'F'

W- 5.1 4.6 5.1. 4.8 4.4 5.9 4.7 5.1

F- 87.1|93.1|89.8|91.4|95.5|92.1|95.5|99.3

W- 5.2 4.9

F- 93.4|94.4

1. Plot the scatter diagram for the data

2. Fit the least squares regression equation of W on F.

3. Using the fitted regression equation, estimate the average body weights 'W' given that food 'F' is 6.0

4. Compute the Spearman Rank Correlation Coefficient and comment on your results.

What is correlation

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

Factors are qualitative data that are associated with categorization or the description of an attribute. Factors are often (but not always) represented with words, like colors or names of things. On the other hand, numeric data are generated by numeric measurements. R can store values as factors or numbers, but sometimes you have a choice of how to represent values.

1) I have two apples, one banana, one cherry.  Does it make sense to calculate the "average" of these things? Would you code that as a factor or a numeric value in R?

2) I have four quiz scores: 94, 93, 85, and 0.  What is the mean (average) of my quiz scores? Would you code this as a factor or a numeric value in R?

3) In another class, I received these grades on my quizzes: two As, one B, and one F. What is the mean (average) of my grades? Would you code that as a factor or a numeric value in R?

4) How would you explain the difference in mean values obtained in #2 and #3 above?

There is no requirement to use sources from the Internet, but if you use an idea or a quotation from any source, it should be cited (such as putting the author and year at the end of the sentence and then adding a reference at the end to describe the source).

An investor was considering stock purchase in two companies. He determined

the following payoff table contingent upon whether company A or B wins a competition for

share of the market.

State a1 (Investment in A) a2(Investment in B)

A wins 30 0

B wins 40 80

What is the Maximax and Maximin strategy? At what probability of A’s winning is the two value Strategies?  

biologists gather data on a sample of fishes in a large lake. they capture, measure the length of, and release 1,000 fishes. they find that the standard deviation is 5 centimeters, and the mean is 25 centimeters. they also notice that the shape of the distribution (according to a histogram) is normal. approximately what percentage of fish in the lake is likely to have a length within three standard deviations of the mean?

The price of all houses in Bukit Katil has a mean of RM109,000 and a standard

deviation of RM5,700. Find the probability that the mean price of a random sample of

75 selected houses would be

i. within RM2,200 of the population mean.

ii. more than the population mean by RM1,000 or more.

iii. between RM107,800 and RM110,100.

An investor is considering six different money market funds. The average number of

days to maturity for each of these funds is as follows:

41 39 35 35 33 38

i. Construct a sampling distribution of sample mean with samples of size

five, which can be selected without replacement from this population.

ii. Find the sampling error for each sample.

iii. If Sally selected a sample of 5 numbers: 41, 39, 35, 33, 38 from this

population, and he recorded 28 instead of 38 for this sample, what is the

non-sampling error?

a simple random sample of size 5 is drawn without replacement from a finite population consisting of 41 units. if the population standard deviation is 6.25 . what is the standard error of sample mean?