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Ten cartoons are taken at random from an automatic filling machine. The mean net weight of the 10 cartoons is 11.8 kg and standard deviation is 0.15 kg. Does the sample mean differ significantly from the intend weight of 12 kg. Use 5% level of significance.
PROBLEM B: In the national achievement test, a school had a total mean of 59 with a standard deviation of 7. If 40 students who took the test are selected at random, what is the probability that the mean of their scores fall between 59 and 60?
The Grade 11 students of Capiz National High School took a 100 item Statistics exam. The scores fit the normal distribution with a mean of 75 and a standard deviation of 10. What is the percentage of students that got a score of 80 to 85?
Consider the Farmer-Wolf-Goat-Cabbage Problem described below:
Farmer-Wolf-Goat-Cabbage Problem
There is a farmer with a wolf, a goat and a cabbage. The farmer has to cross a river with all three things. A small boat is available to cross the river, but farmer can carry only one thing with him at a time on the boat. In the absence of farmer, the goat will eat the cabbage and wolf will eat the goat. How can the farmer cross the river with all 3 things?
Initial state: (L, L, L, L)
Operators:
1. Move farmer and wolf to the opposite side of river if goat and cabbage are not left alone.
2. Move farmer and goat to the opposite side of river.
3. Move farmer and cabbage to the opposite side of river if wolf and goat are not left alone.
4. Move farmer alone to the opposite side of river if wolf and goat or goat and cabbage are not left alone.
Goal state: (R, R, R, R)
Write a Python program that uses breadth-first search algorithm to solve the above problem.
What type of distribution will the sampling distribution of the mean for MBA graduates starting salaries follow
When travelling from Bangladesh to Vietnam, travellers need to first land at Kuala Lumpur, and
then get on a connecting flight to Vietnam. The total time in transit Y in hours can be shown to
have the following PDF
a random sample of size n 16 is drawn from a normally distributed population. the sample mean is 98 with known standard deviation of 5. Construct a 98% confidence interval for the population mean.
What is the probability that the businessman will contribute a sack of rice between 105 sacks to 145 sacks
A population consists of the five measurements 2, 6, 8, 0, and 1.
1. What is the mean and the standard deviation of the population?
what is the illustration of greater than 1.1150
