9.9 Independent random samples from normal populationsNW produced the following results:DL09009Sample 11.23.11.72.83.0Sample 24.22.73.63.9a. Calculate the pooled estimate of o².b. Do the data provide sufficient evidence to indicate thatH2>μ₁? Test, using a = .10.c. Find a 90% confidence interval for (μ₁ - M₂).d. Which of the two inferential procedures, the test ofhypothesis in part b or the confidence interval in part c,provides more information about (μ- M₂)?

Step 1: Objective and ConceptObjective:-To determine the pooled variance, and confidence interval…

Answered: 9.9 Independent random samples from…

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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Q.2 A manufacture of cell phone batteries wants to estimate the useful life of it's battery (in thousand of hours.) The estimate is the be within 0.10 (100) hours. Assume 1 95 percent level of confidence and that the standard deviation of the useful life of the battery is 0.90 (900 hours). Determine the required sample size.
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n1 = 50 n 2 = 30 X 1 = 13.9 x2 = 11.2 0 1 = 2.4 0 2 = 3.5 a. What is the point estimate of the difference between the two population means? (to 1 decimal) b. Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). Use z-table. c. Provide a 95% confidence interval for the difference between the two population means (to 2 decimals). Use z-table. If your answer is negative, enter minus (-) sign.
Independent random samples were selected from population 1 and population 2. The following information was obtained from these samples: Population 1 Population 2 Sample Size 38 38 Sample Mean 24.3 22.9 Sample Std. Deviation 3.8 3.3 a) Find the 95% confidence interval for estimating the difference in the population means (µ1 - µ2).
The yield per tract in a certain region of farmland is known to have a populationstandard deviation of 13 bushels. Using the old seed variety, the population mean yield μwas 39 bushels. A farmer tests a new seed variety on a random sample of 36 tracts, andfinds a sample mean yield of 45.2 bushels. Is the population mean yield using the newseed variety different from 39? Use α= 0.10.a. State the null hypothesis . __________________State the alternative hypothesis.____________________b. Find the test statistic. _____ c. Find the P-value for the test. _____________
Let the observed value of the mean of a random sample of size n=20 from a normal distribution with mean and variance = 80 be 81.2. find a 95% confidence interval for u.
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n 1 = 50 n 2 = 30 X 1 = 13.9 X 2 = 11.2 O 1 = 2,4 O 2 = 3.5 a. What is the point estimate of the difference between the two population means? (to 1 decimal) b. Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). Use z-table. c. Provide a 95% confidence interval for the difference between the two population means (to 2 decimals). Use z-table. If your answer is negative, enter minus (-) sign.
In 1990, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephone company wants to perform a significance test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. The hypotheses are: H0: μ = 9.4 minutes HA: μ ≠ 9.4 minutesSuppose that the results of the sample lead to non-rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. Choose the best asnwer below: A. Neither B. Type I error C. Type II error D.No error
9.2 Q3
A paired difference experiment produced the following data information: na = 16, = 28.9, 2 = 25.7, sa 8.76. %3D %3D %3D Assuming that the population of differences is approximately normal distributed. Find a 90% confidence interval for mean difference 41 - 42. 3.2 +0.9598 3.2+ 3.8391 3.2 1.1667 3.2 + 4.6669
In a random sample of twelvetwelve people, the mean driving distance to work was 24.624.6 miles and the standard deviation was 4.54.5 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 9999% confidence interval for the population mean muμ. Interpret the results.
A random Sample of 55 students has a text score with x̄ =78.5 Assume the population standard deviation is 9.8. Construct a 90% confidence interval for the population mean, µ
6.11 The following n = 16 measurements were recorded for the drying times in hours for a brand of latex paint: 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 4.5 Assuming normality of the measurements, obtain a 95% confidence interval for the mean drying time in hours.

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