TOPIC: Hypotheses Tests on the Difference in Means, VariancesUnknown & Equal or Unknown & Not Assumed EqualPlease provide answers specially for test statistics and the critical value. Thank you Consider the hypothesis test H, : µ1 = P2 againstH : H1 < µ2. Suppose that sample sizes n1 = 15 and n2 = 15,that = 6.2 and x = 7.8, and that si = 4 and s3 = 6.25.Assume that oi = oz and that the data are drawn from normaldistributions. Use a =0.05.

Given : n1=15 , n2=15 , X1-bar=6.2 , X2-bar=7.8 , s12=4 , s22=6.25 ,α=0.05 Since , the population…

Consider the hypothesis test Ho : µ1 = P2 against H : H1 < H2. Suppose that sample sizes n = 15 and n2 = 15, that = 6.2 and = 7.8, and that si = 4 and s = 6.25. Assume that o ož and that the data are drawn from normal distributions. Use a = 0.05.

Consider the hypothesis test Ho : µ1 = P2 against H : H1 < H2. Suppose that sample sizes n = 15 and n2 = 15, that = 6.2 and = 7.8, and that si = 4 and s = 6.25. Assume that o ož and that the data are drawn from normal distributions. Use a = 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

See similar textbooks

Related questions

Q: In what way might an average be missed used? Alternatively, how might an average be misinterpreted?…

A: Average is defined as a single representative of the data . It is always used to describing certain…

Q: What does sample variance measures in F test?

A: F-test is used to test whether the observations in two groups have same variability. Let X1, X2, …,…

Q: Inferential statistics is the branch of statistics that draws conclusions about (answer) based on…

A: There are two branches in statistics: Descriptive statistics Inferential statistics

Q: Explain Multiple Observation Summary of Z-test?

A: A Z-test is a statistical test, used to determine whether two population means are different when…

Q: What value does the Correlation Coefficient provide for data analysis, and, can we assu

A: Correlation Coefficient: The correlation coefficient is used for measuring the strength of the…

Q: What is the difference between testing hypothesis on a population and testing hypothesis when…

A: Statistical hypotheses testing: Hypotheses testing is used to make inferences about the population…

Q: Why do we use absolute value in both the expected value of perfect information and the expected…

A: Based on the concept of Decision theory, the expected value of perfect information is the amount…

Q: What are 6 real world applications of the two sample t test (equal variance)?

A: Two-Sample T-Test(equal variance) It is a hypothesis testing of the means of the two samples. It is…

Q: Give an statistical principle example for a surgeon

A: One statistical principle that a surgeon may use is the concept of "confounding variables" when…

Q: What do you mean by Omitted Variable Bias? explain when omitted variable bias occurs?

A: Omitted variable bias is the bias that arise when the regressor, X, is associatedwith an omitted…

Q: what is the benefit of using a trimmed mean versus using a mean found using all data entries?

A: Concept: Mean is defined as the average of all data values which is obtained by dividing the sum of…

Question

TOPIC: Hypotheses Tests on the Difference in Means, Variances
Unknown & Equal or Unknown & Not Assumed Equal

Please provide answers specially for test statistics and the critical value. Thank you

Consider the hypothesis test H, : µ1 = P2 against
H : H1 < µ2. Suppose that sample sizes n1 = 15 and n2 = 15,
that = 6.2 and x = 7.8, and that si = 4 and s3 = 6.25.
Assume that oi = oz and that the data are drawn from normal
distributions. Use a =
0.05.

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

Similar questions

Thank you 1 hour left!
Q. 23 Given the nine sample values 4.5, 6.5, 3.8, 4.2, 7.7, 8.5, 9.4, 5.3, 3.9 from a normal distribution with mean u and variance 4. Find the best critical region for testing Ho: µ = 4 vs. H,: µ = 5 of size 0.05. Also calculate the power of the test. %3D
Using a long rod that has length m, you are goingto lay out a square plot in which the length of eachside is m. Thus the area of the plot will be m2.However, you do not know the value of m, soyou decide to make n independent measurementsX1, X2,... Xn of the length. Assume that each Xihas mean m (unbiased measurements) and variance s2.a. Show that X2 is not an unbiased estimatorfor m2. [Hint: For any rv Y, E(Y2) ¼V(Y) + [E(Y)]2. Apply this with Y ¼ X.]b. For what value of k is the estimator X2 - kS2unbiased for m2? [Hint: Compute E(X2 - kS2).]
The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use ? = 0.01 and assume normality. n = 36, Σd = 227, Σd2 = 6244(a) Find t. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer correct to four decimal places.)(b) State the appropriate conclusion. Reject the null hypothesis, there is significant evidence that the coating is beneficial.Reject the null hypothesis, there is not significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is significant evidence that the coating is beneficial.Fail to reject the null hypothesis, there is not significant evidence that the coating is beneficial.
The claim is that for a smartphone carrier's data speeds at airports, the mean is μ=13.00 Mbps. The sample size is n=29 and the test statistic is t=1.067. P-value=? (Round to three decimal places as needed.)
I need the p value, please.
WILL THUMBS UP IF CORRECT.
When creating a 99% CI based on data from one sample the size of n=31, which t value should be used?
I need help finding the test statistic t (rounded to 2 decimal places) and the P-value (rounded to 3 decimal places). Thank you
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
Use the table of critical values of the Pearson correlation coefficient to determine whether the correlation coefficient is statistically significant at the specified level of significance for the given sample size. Write the critical value to the nearest thousandth. r=0.998r=0.998, α=0.01α=0.01, n=4 Is the correlation coefficient statistically significant?