In October 2024
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In the claims department of an insurance office various quantities are computed at the end of each day’s business. On Monday, 10 claims are received for a particular class of policy. The mean claim amount is calculated to be £426 and the standard deviation to be £112. On Tuesday it is found that one of Monday’s claims for £545, was classified wrongly and it is removed from the set of 10 claims. Calculate the resulting mean and standard deviation of the reduced set of 9 claims.
APPLICATION:
an experimental study was conducted by a researcher to
determine if a new time slot has an effect on the performance
of pupils in mathematics. Fifteen randomly selected learners
participated in the study. Toward the end of the investigation, a
standardized assessment was conducted. The sample mean x̄= 75 and s=5. In standardization of the test, the mean was
65 and standard deviation was 8. Based on the evidence at
hand, is the new time slot effective? Use α = 0.05.
In a certain food stall, 278 out of 500 randomly selected consumers to indicate their preference for a new kind of food combination. Use a 99% confidence interval to estimate the true proportion ρ who like the new food combination.
The recent storm, Maring, caused a lot of people to get infected with a disease. Doctors estimate that a person who got infected with the disease can recover with a probability of 40%. If 15 people from a certain barangay in QC are known to have been infected with the disease, what is the probability that from 3 to 8 survive?
Test the hypotheses, given p=0.42, p is not equal to 0.42, sample size=150, sample proportion=0.45, alpha =0.05
Let X and Y be two independent random variables having joint probability density function f(x, y) = 1/ 2πσ2 e − (x−µ) 2 σ2 e − (y−µ) 2 σ2 − ∞ < x, y < ∞
Find the moment generating function of Z = X+Y /2 and hence the mean and variance of Z
If a random sample of 38 public elementary schools is selected, what is the probability that the number of students enrolled is 452
an agronomist believes that a newly developed fertilizer will increase the mean harvest of eggplants by more than 2.5 kg. twenty six plants are treated with fertilizer and have a mean of 10.5 kg with standard deviation of 1.2. it is known that the population mean was 7.5 kg. test the claim at 0.01 level of significance
Answer in (Permutation and Combination)
- A college freshman must take a science course, a humanities course, and a mathematics course. If she may select any of 4 science courses, any of 3 humanities courses, and any of 2 mathematics courses, how many ways can she arrange her program?
- A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large, x-large) and in three colors (yellow, blue, and white). How many different types of sweatshirts will the store have to stock?
- For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2 skirts, and 3 pairs of shoes for her birthday. How many new outfits can she make?
1. A college freshman must take a science course, a humanities course, and a mathematics course. If she may select any of 4 science courses, any of 3 humanities courses, and any of 2 mathematics courses, how many ways can she arrange her program?
2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large, x-large) and in three colors (yellow, blue, and white). How many different types of sweatshirts will the store have to stock?
3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2 skirts, and 3 pairs of shoes for her birthday. How many new outfits can she make?
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