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It is estimated that senior high school students in a certain school spend an average amount of P400 monthly for sending text messages and making calls. A group of grade 11 students believe that the average monthly expenses in cellular phone load is less than P400. To verify their claim, the group randomly selected 20 students from grade 11 and 12 and obtained necessary information. The group found out that the sample mean is P356 with a standard deviation of P100. At 0.01 level of significance, is there enough evidence to support the claim of the group of grade 11 students?


A researcher is conducting a study about the effectiveness of a new

product to the households in a certain Barangay. His population

consists of the numbers 8, 4, 2, 1, 13, and 10. Perform the following

tasks:

1. Determine the number of sets of all possible random samples using the

combination formula

2. List all the possible samples and compute the mean of each sample

3. Construct the sampling distribution.

4. Construct the histogram


The value of 2-2*3/5 is


Suppose that a coin is tossed twice. Let X be a random variable (RV) which represents the number that occur find tha values of the random variable x


Mean of the sampling distribution of the sample mean


The probability density function of a random variable X is f(x) = C|x|. Find C, and the value of x° such that Fx(x°) = 3/4, where F is the CDF.


What is mode of the data


what is mean


State the null hypothesis and the alternative hypothesis in (a) words and in 

(b) symbols for each of the following.

a. A random sample of 200 students got a mean score of 62 with a standard deviation score of 5

in a knowledge test in mathematics. In the standardization, = 50 with = 10.



An X-bar control chart monitors the mean of a process by checking that the average stays between control.pngand control2.png. When the process is under control,
(a) What is the probability that five consecutive sample means of n cases stay within these limits?

(b) What is the probability that all of the means for 100 days falls within the control limits?

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