Statistics and Probability Answers

A researcher reports that the average salary of College Deans is more than Php 63,000. A sample of 35 College Deans has a mean salary of Php 65,700. At a = 0.01, test the claim that the CollegeDeans earn more than Php 63, 000 a month. The standard deviation of the population is Php 5,250.

a researcher reports that the average salary of college deans is more than Php 63,000 a sample of 35 college deans has mean salary of php 65,700

In a certain school, grade 11 students spend an average 14 hours, with a standard duration of 4 hours, in browsing their favorite social networking sites. The average time spent in a week by grade 11 students browsing their favorite social networking sites is 14 hours with a standard deviation of 4 hours. If a random sample of 35 students is selected, find the mean, variance and standard error of the distribution of all sample means that can be derived from the sample.

Determine the cumulative distribution function for following:(2 Marks) F(x) 0 x < 0 0.2 x 0 <= x < 4 0.04 x + 0.64 4 <= x < 9 1 9 <= x

Suppose f(x) = 1. 5 𝑥 for -1 < x <1. Determine the mean and variance of X

suppose that iq scores within a population are normally distributed with a mean 100 and a sd 10 area enclosed under normAL CURVE FOR IQ SCORES ABOVE 130 IS

a certain machine makes electrical resistors having a mean resistance of 40 ohms and standard deviation of 2 ohms what is the probability that random sample of 36 have combined resistance more than 1458

1. the recommended daily calorie intake for teenage girls is 2,200 calories/day. a nutritionist at a state university believes the average daily caloric intake of girls in that state to be lower. test that hypothesis, at the 5% level of significance, against the null hypothesis that the population average is 2,200 calories/day using the following sample data: n=36,x¯=2,150,s=203.

 The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of a bottle of their product is 250mL and standard deviation of 3 ml. A random sample of 50 bottles of fruit juice have a mean volume of 245 ml. At a level of significance of 5%, is there a sufficient evidence to the support the claim of the owner?

For the population of 18 74 year old females in the United States height is normally distributed with mean 63.9 inches and standard deviation 2.6. If we randomly select a woman from the population what’s the probability that she’s less than 60 inches