Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference theappropriate table: z table or t table)X₁ -2.48₁²-7.9#1n₁ - 28--17.98₂² = 8.6112a. Construct the 90% confidence interval for the difference between the population means. Assume the population variances areunknown but equal. (Round all Intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)Confidence interval isb. Specify the competing hypotheses in order to determine whether or not the population means differ.Hot M41 442 01 HA¹1-12-0О N01 41- 42 ≥ 01 HAt A1 - 42 < 0O No¹ M1 M2 = 0; BA: M1-M20 c. Using the confidence interval from part a, can you reject the null hypothesis?O Yes, since the confidence interval includes the hypothesized value of 0.O No, since the confidence interval includes the hypothesized value of 0.O Yes, since the confidence interval does not include the hypothesized value of 0.O No, since the confidence interval does not include the hypothesized value of 0.d. Interpret the results at a = 0.1.O We conclude that population mean 1 is greater than population mean 2.We cannot conclude that population mean 1 is greater than population mean 2.We conclude that the population means differ.We cannot conclude that the population means differ.

Given that Sample size n1=28 , n2=11 NOTE:- According to bartleby guidelines expert can solve…

Answered: Consider the following data drawn…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Develop a 95% confidence interval for the population slope if the followingregression information are given: b1= 41.7, p-value = 0.02, and n = 35.
Given the following summary statistics of the data: Ex= 100, Ex=621, n=20, ESS = 9.65 %3D calculate the estimated variance of the error, s and hence the variance of slope coefficient b. e 1 (Round to three decimal places as needed.)
A researcher has obtained the following scatter plot depicting the relationship between Y and X. On the graph, you can see three possible regression lines, which have a common y-intercept of bo = 35.48. Lines A, B and C cross the y-axis at coordinates (52, 106.78), (52, 66.52) and (52, 36.67), respectively. Given the confidence interval is (0.333, 1.122), choose the correct answer(s). rise Hint: Calculate slope of each line using known formula slope = run 35.48 0 Line A Line B Line C O O O 60 X 8 00 52 106.78 66.52 36.67 Select one or more: ✔a. The slope of Line A is within the confidence interval. ✓b. The slope of Line B is within the confidence interval. ✓ C. The slope of Line C is within the confidence interval.
The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence level with a redshift of 0.0126. Redshift Distance 0.0238 0.31 a. Find the explained variation. 0.0543 0.74 (Round to six decimal places as needed.) b. Find the unexplained variation. (Round to six decimal places as needed.) c. Find the indicated prediction interval. 0.0722 1.02 billion light-years
The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. They would like the estimate to have a maximum error of 0.14 kWh. A previous study found that for an average family the variance is 4.84 kWh and the mean is 19.1 kWh per day. If they are using a 80% level of confidence, how large of a sample is required to estimate the mean usage of electricity? Question 8 options: 45 households 1959 households 949 housholds 405 households
Also included in question find estimated variance of errors, estimated variance of slope, and 90% and 95% confidence intervals for slope. Thank you so much
Step 1 of 3. State the null and alternative hypotheses for the test. Step 2 of 3. Compute the value of the test statistic. Round your answer to three decimal places Step 3 of 3. Draw a conclusion and interpret the decision.
E. Non-parametric statistics does not use the values of μμ or σσ . True False F. When data points are widely spaced around the regression line, the coefficient of correlation is close to 1. True False G. If the value of the y intercept of the regression line is positive, then the coefficient of correlation could be negative. True False H. ANOVA can tell which mean is different. True False I. If a confidence interval for the difference of 2 proportions is found and the interval contains 0, it suggests the proportions are the same. True False
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places.
A sample of n = 7 scores is selected from a population with an unknown mean ( µ). The sample has a mean of M = 40 and a variance of s 2 = 63. Which of the following is the correct 95% confidence interval for µ?
For a given set of x and y data values, assume that the regression model assumptions are valid and that a 90% confidence interval for ₁ is given by (-2.2, -0.1). Which of the following statements are true? i) At a = 0.10, there is a significant linear relationship between x and y. ii) In the scatterplot of x and y, the values of y tend to decrease as the values of x increase. iii) Based on this confidence interval, we would reject the null hypothesis of no linear relationship at any significance level a ≤ 0.1. Select one: a. i) O b. i) and ii) O c. ii) d. i), ii), and iii)

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