Search & Filtering
The random variable X is best described by a normal distribution with mean of 30 and standard deviation of 6. Find the z-score that corresponds to th following X values. a. X = 21 b. X = 26 c. X = 35 d. X = 42 e. X = 50
Read and analyze the following situations and supply the values of the following variables (if
there is any). On the third column, write known on the space provided if the situation gives
or can compute the value of the variance, otherwise write unknown. Identify also the formula
to be used to estimate the standard error of the mean by writing the symbols or when the
population variance is known and sx when the population variance is unknown.
Situation:
Given the population mean of 12, and a sample
standard deviation of 3 in a sample size of 125
Given:
n=
m=
s=
Answer:
Standard Error Formula:
Problem 1:
Soft drinks are put into bottles that hold a nominal 200 ml, but the filling machine introduces a standard deviation of 10 ml. These bottles are packed into cartons of 25 and exported to a market which insists that the mean weight of a carton is at least the quantity specified by the manufacturer. To make sure this happens, the bottler sets the machine to fill bottles to 205 ml. What is the probability that a carton chosen at random fails the quantity test?
Problem 2:
A machine produces parts that have a standard deviation in length of 1.4 cm. A random sample of 100 parts has a mean length of 80 cm. What is the 95% confidence interval for the mean length of all parts?
Problem 3:
MLP Mail-order collects a random sample of 40 customer orders, as shown in the table. What is the 95% confidence interval for the population mean?
Write whether the following data are discrete or continuous give reason on support of your answer
(1) waiting time of metro when a person reaches metro station
(2)Number of pages in each of the 50 books having some mistakes
(3) Height of students of IGNOU who enrolled in 2021
(4) Number of children in a family in a colony of 100 families
a researcher investigated the relationship between monthly income and years of service in a company. using the data from 20 workers, the computed correlation coefficient was found to be 0.25. is the computed r significant at 0.05 level of significance?
A researcher investigated the relationship between monthly income and years of service in a company.
Using the data from 20 workers, the computed correlation coefficient was found to be 0.25. Is the
computed r significant at 0.05 level of significance?
Read and analyze the following situations and supply the values of the following variables (if
there is any). On the third column, write known on the space provided if the situation gives
or can compute the value of the variance, otherwise write unknown. Identify also the formula
to be used to estimate the standard error of the mean by writing the symbols of, when the
population variance is known and sawhen the population variance is unknown,
Situation:
Consider a population consisting of 1, 2, 3, 4, 5, 8,
9, and 11. Samples of size 3 are drawn from this
population.
•Given: N=
n=
•Answer:
•Standard Error Formula:
In the numbers {1,3,5,7,9} construct the following:
• List of possible sample size of 3 that can be taken from this sets of numbers.
• Sampling distribution of the sample means fornthe size of 3 and the standard error.
Consider the set of even single-digit number {0,2,4,6,8}. Construct the sampling distribution of the sample means for the size of 3 and the standard error.
Two of the five (5) foreign automobiles from an overseas shipment have slight paint blemishes. If an agency receives three (3) of these automobiles at random, list the elements of the sample space 𝑆 using the letters B and N for “blemished” and “non-blemished”, respectively. For each sample point, assign a value 𝑥 of the random variable 𝑋 representing the number of automobiles purchased by the agency with paint blemishes. Hint: There are eight (8) elements in the sample space.
#339914 on Dec 2023