Let X1, X2, .,X, be a random sample of size n from normally distributed population with mean u variance o?. Assuming that of is a real number determined in advance, which one of the following statistics can be used to test the nul hypothesis of Ho:o² = of against Ha: o² > o3?

Let X1, X2, .,X, be a random sample of size n from normally distributed population with mean u variance o?. Assuming that of is a real number determined in advance, which one of the following statistics can be used to test the nul hypothesis of Ho:o² = of against Ha: o² > o3?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: If a variable of two populations has only two possible values, the chi-square homogeneity test is…

Q: 4. Researchers working for a sports drink company would like to know if a new blend if its popular…

A: now will use T-DISTRIBUTION table to calculate following t-values corresponding given p-value and…

Q: Suppose the random variable x is drawn from a population with mean 50 and standard deviation 3.is…

A: Solution : Given : μ = 50 σ = 3 n = 30

Q: A population has a standard deviation of 34. We take a random sample of size 30 from this…

A: Given: Population standard deviation σ = 34 Sample size n = 30

Q: A population has a variance of 867. We take a random sample of size 47 from this population. Let…

Q: Suppose X denotes the normal random variable with mean 5 and variance 4. Compute the following (a) P…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 5 and…

Q: Suppose that a poll of 18 voters is taken in a large city. The random variable x denotes the number…

A: Solution-: Given: n=18,p=0.43 (Or 43%) What is the mean and standard deviation of X?

Q: Suppose X is a noram random variable with mean 45 and standard deviation 18 Calculate P( X < 16)

A: answer: From the given data, mean (μ) = 45 Standard deviation(σ) = 18

Q: Suppose data X1, ..., Xn are sampled from the population, sample mean is a random variable

A: It is given that Sample : x1, x2,......,xn

Q: A chi-square homogeneity test is to be conducted to decide whether a difference exists among the…

A: A chi-square homogeneity test is to be conducted to decide whether a difference exists among the…

Q: 4. Researchers working for a sports drink company would like to if its popular sports drink can help…

A: Given: n= 20.0 ,x̄= 270.0 ,s= 20.0 µ= 300.0 ,significance level(∝)= 0.05 ,degree of freedom= 19.0…

Q: The weight of a male bald eagle has approximately a normal distribution with mean = 7.4 pounds and a…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A chi-square homogeneity test is to be conducted to decide whether four populations are…

A: The test for homogeneity determines if two or more populations (or subgroups of a population) have…

Q: (c) Using the information you obtained in part (b), check whether it is reasonable to assume that…

Q: A chi-square homogeneity test is to be conducted to decide whether a difference exists among the…

A: Here,we have 6 populations,each having 5 possible values,i.e., 5 categories.When we have r…

Q: Given two normally distributed populations with equal means and variances of 100 and 80, what is the…

Q: There are 3 students that make up the total population of Summer Calculus students at ACM. Their…

A: The population data is X = 80 , 55 , 57 n=3 a) What is the mean of this population X= ∑xn X=…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Let X1,X2, .., X, be a random sample of size n from normally distributed population with
mean u variance o?. Assuming that f is a real number determined in advance, which one of
the following statistics can be used to test the nul hypothesis of Ho:o? = o3 against Ha:o? >
of?
O a. (n-1)Så
o2
O b. (n-1)S
O c. (n-1)SÅ
O d. (n-1)5
O e. vn(Xn-4)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

9. Carboxy- hemoglobin is formed when hemoglobin is exposed to carbon monoxide. Heavy smokers tend to have a high percentage of carboxyhemoglobin in their blood (Reference: A Manual of Laboratory and Diagnostic Tests by F. Fischbach). Let x be a random variable rep- resenting percentage of carboxyhemoglobin in the blood. For a person who is a regular heavy smoker, x has a distribution that is approximately normal. A random sample of n-12 blood tests given to a heavy smoker gave the following results (percentage of carboxyhemoglobin in the blood): 9.1 9.5 10.2 9.8 11.3 12.2 11.6 10.3 8.9 9.7 13.4 9.9 Where = 10.49 and s = 1.36. A long-term population mean u -10% is considered a health risk. However, a long- term population mean above 10% is considered a clinical alert that the person may be asymptomatic. We will investigate the claim: the data indicate that the population mean percentage is higher than 10% for this patient? Use a = 0.05. a. Find the test statistic. b. Find the critical…
only need d,e,f
Please note the question is: What is the distribution of the t-test statistic if m, n -----> ∞ ?
The weights of beagles (dogs) have approximately a normal distribution with u = 17.1 pounds and a standard deviation of o = 1.8 pounds. Suppose that we randomly select n = 64 beagles and measure their weights in pounds. Let X be the random variable representing the mean weight of the selected beagles. Let Xtot be the random variable representing the total weight of the selected beagles. a) About what proportion of beagles have weights between 17 and 18 pounds? b) About what proportion of beagles have weights greater 20 pounds? c) About how many of the 64 sampled beagles have weights less than 16.5 pounds? (nearest integer) d) About how many of the sampled beagles have weights between 17 and 18 pounds? (nearest integer) e) What is the standard deviation of the distribution of X? f) What is the standard deviation of the distribution of Xtot? g) What is the probability that 17 1100? f) Copy your R script for the above into the text box here.
Number 16
200 poodles 61 are left-paued left -pawed. a random sample of In a random sample ef 220 labradores 38 are Can we conclude that the difference in The tuo sample proportions of left pawed dogs is statistically significont for x= 0.05 ?
The weight of a male bald eagle has approximately a normal distribution with mean ?= 7.4 pounds and a standard deviation of ?= 1.6 pounds. Suppose we take a random sample of n=64 male bald eagles. Let X̄ be the random variable representing the mean weight in pounds of the 64 sampled male bald eagles. Let Xtot be the random variable representing sum of the weights of the 84 sampled bald eagles. a) About what proportion of male bald eagles have weights between 7.0 and 7.8 pounds? b) About what proportion of male bald eagles have weights greater than 7.8 pounds? c) About how many of the 64 sampled male bald eagles would you expect to have weight greater than 7.8 pounds? (nearest integer)? d) About how many of the 64 sampled male bald eagles would you expect to have weight between 7.0 and 7.8 pounds? (nearest integer)? e) What is the standard deviation of the distribution of X̄ (in pounds)? f) What is the standard deviation of the distribution of Xtot (in pounds)? g) What is the…