(a) State the null hypothesis H, and the alternative hypothesis H .HoH :0(b) Determine the type of test statistic to use.(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the p-value. (Round to three or more decimal places.)(e) Can we conclude that the population variance for group 1 is greater than thepopulation variance for group 2?O Yes ONo Random samples that are drawn independently from two normally distributed populations yielded the following statistics.Group 1Group 2"1 = 16n2 = 14= 220.3X2245.512s = 1421.29 s,= 640.09(The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.)Can we conclude, at the 0.05 significance level, that the population variance, ofor group 1 is greater than the population variance,forgroup 2?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a listof formulas.)

Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 " = 16 "2 = 14 x, = 220.3 X 2 = 245.5 s= 1421.29 s,= 640.09 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.05 significance level, that the population variance, , for group 1 is greater than the population variance, o5, for group 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a I of formulas.)

Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 " = 16 "2 = 14 x, = 220.3 X 2 = 245.5 s= 1421.29 s,= 640.09 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.05 significance level, that the population variance, , for group 1 is greater than the population variance, o5, for group 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a I of formulas.)

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: A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly…

A: Denote μ as the true mean amount to which the machine fills the bags at the 430 gram setting.

Q: Sample 1 (n = 6) from population 1 has a mean of 42.00 and a variance of 29.00. Sample 2 (n = 8)…

A: The given summary statistics are as follows:

Q: Suppose that you draw a random sample from a population where you know the population mean is 36 and…

Q: Two separate samples, each with n = 14 individuals, receive different treatments. After treatment,…

Q: You have a fair 12 sided die numbered 1, 2, ..., 12 and you are interested in rolling a 7. Find Ha,…

A: List of formulae : Mean of sampling distribution of sample proportion ( p^ ) : μp^ = p Standard…

Q: Suppose you are interested in studying regional differences in crime rates. You take a random…

A: Given that Sample sizes n1=100 , n2=100 Sample mean x1 =55 , x2=50 Sample variance s12=5.78 ,…

Q: Suppose Y is distributed with mean=80 and variance=100. You obtain a large number of samples each of…

Q: Find a number L such that P|L 95. %3D Hint: A useful fact when using tables to find F-values is that…

Q: Suppose that we have disjoint normal populations A and B and we want to find the standard error…

A: Denote μ1, μ2 as the true averages of populations A and B, respectively.

Q: Q10. Here is a calculation in a spreadsheet of the 5 numbers in a population of x = {1,2,3,4,5}.…

Q: df df What assumptions are you making about the original distribution? O The populations follow…

Q: The sum of the squared deviation scores is SS = 20 for a sample of n = 6 scores. What is the…

A: The variance of the sample can be calculated as:

Q: In an independent samples design, two samples have the same sample size. The first sample has n = 6…

A: Obtain the value of the pooled variance for the two samples. The value of the pooled variance for…

Q: These are the numbers I am working with and I need to know the pooled variance. I keep working the…

A: Formula to find Pooled variance : sp2 = (n1 -1)s12 +(n2 -1)s22 n1+n2-2 Where , n1 is sample size of…

Q: For a standardized psychology examination, the scores have a mean of 500 and a variance of 9475. It…

A: From the given information we conduct chi square test for variance.

Q: 4. Find a 95% confidence interval for the difference of two means when you have independent samples,…

A: Sample statistics for two independent samples are given below:, , , , Confidence interval:

Q: Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0:…

A: Given that Sample Variance 1 (s_1^2)(s12) = 10.710.7 Sample Size 1 (n_1)(n1) = 1515 Sample…

Q: A therapist would like to evaluate an intervention for treating depression. A sample of n = 20…

A: From the provided information, Sample size (n) = 20 Level of significance (α) = 0.05 Mean difference…

Q: One sample has SS = 60 and a second sample has %3D SS = 48. %3D a. If n = 7 for both samples, find…

A: SS for one sample =60 SS for second sample =48

Q: When creating a two sided Cl for the difference of two means, assuming that the variance of the two…

A: When creating a two sided CI for the difference of two means, assuming that that the variance of the…

Q: Suppose we wish to compare the variation in diameters of parts produced by company A with the…

Q: 6. One sample of fifteen observations has x₁ = 82 and s₁ = 5. A second sample of ten observations…

Q: One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance…

A: Given information: The two sample statistics is given as, Sample 1 n1=7SS1 = 35 Sample 2 n2 = 17SS2…

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

(a) State the null hypothesis H, and the alternative hypothesis H .
Ho
H :0
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that the population variance for group 1 is greater than the
population variance for group 2?
O Yes ONo

Random samples that are drawn independently from two normally distributed populations yielded the following statistics.
Group 1
Group 2
"1 = 16
n2 = 14
= 220.3
X2
245.5
1
2
s = 1421.29 s,= 640.09
(The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.)
Can we conclude, at the 0.05 significance level, that the population variance, o
for group 1 is greater than the population variance,
for
group 2?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a list
of formulas.)

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 with 2 images

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

Two samples. each with n = 5 scores, have a pooled variance of 40. What is the estimated standard error for the sample mean uniference? how do i solve?
I need help solving part a and b of the following question attached.
Two separate samples, each with n = 14 individuals, receive different treatments. After treatment, the first sample has SS = 1316 and the second has SS = 1620. Find the pooled Variance for two independent samples. (hundredths place) Type only the pooled variance.
Two samples, each with n = 5 scores, have a pooled variance of s 2 p = 40. What is the estimated standard error for the sample mean difference? a. s(M1 - M2) = 10 b. s(M1 - M2) = 20 c. s(M1 - M2) = 4 d. s(M1 - M2) = 8
The following information is available for two samples selected from independent normally distributed populations. Population A: n1=30 S2/1=25 Population B: n2=30 S2/2=36 a. Which sample variance do you place in the numerator of FSTAT? b. What is the value of FSTAT?
There are two samples. Sample 1 has n=10 and a sample variance of 4. Sample 2 has n=8 and a sample variance of 9. Calculate the standard error of the difference between the two sample means (to 2 decimal points). Assume that the variances in the two populations that produced the samples are equal.
Suppose we have two normal populations denoted A and B, and we want to compare their population variances by estimating the ratio: variance of population B divided by variance of population A. We have an independent random sample of size 15 from population A and an independent random sample of size 9 from population B. The sample variance for population B turns out to be 30 percent larger than that for population A. What is the 99 percent confidence interval for the ratio: population variance of population B divided by population variance of population A? Use stattrek.org for finding the needed critical values.
suppose that we have disjoint normal populations A and B and we want to find the standard error estimate for estimating the difference in their means. We have an IRS from A of size 8 with variance 25 and an IRS from B of size 9 with variance 16. What is the resulting standard error estimate if we assume both populations have the same population variance?
1. The tables below show the results of an independent samples t-test in SPSS conducted using the SPSS data we have been using this semester. Two groups ("Yes" and "No") are compared on their "final". Yes and no refer to whether they attended the review sessions or not. Review the results carefully and answer the questions below. (12 points) final final Attended review sessions? No Yes Equal variances assumed Equal variances not assumed Levene's Test for Equality of Variances F Group Statistics 219 Sig. N .641 35 70 t -2.693 d. What are the df for the t-test we use? 103 Mean Independent Samples Test -2.719 59.83 64.14 Std. Deviation 7.591 7.810 df Sig. (2-tailed) 103 .008 69.872 .008 e. Are the groups significantly different from each other? f. Which group scored higher? Yes Group No Group The two groups are not significantly different_ t-test for Equality of Means Mean Difference -4.314 Std. Error Mean -4.314 1.283 .933 Std. Error Difference 1.602 1.587 95% Confidence Interval of the…