9.4 A confidence interval for (µ₁ − µ₂) is (−10, 4). Which ofthe following inferences is correct?а. м1 > м2M₂b. μ1 < негC. μ1 = μ₂d. no significant difference between means-9.5 A confidence interval for (μ₁ −μ₂) is (-10, –4). Whichof the following inferences is correct?a. μ₁ > μ₂b. μ₁ <μ2C. μ₁ = μ₂d. no significant difference between means

The confidence intervals for the difference of means are given. We have to write correct choice by…

Answered: 9.4 A confidence interval for (μ₁ −μ₂)…

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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A random sample of size 32 is selected from population X, and a random sample of size 43 is selected from population Y. A 90 percent confidence interval to estimate the difference in means is given as (−1.25,0.87). Consider a change in the sample sizes such that a random sample of size 52 is selected from population X and a random sample of size 63 is selected from population Y. When all other things remain the same, what effect would such a change have on the interval?
assume that you have a sample of n1=9, with the sample mean x1=50, and a sample standard deviation of S1=5, and you have an independent sample of n2=15 from another population with a sample mean of X2=31, and the sample deviation S2=7. Construct a 99% confidence interval estimate of the population mean difference between u1 and u2. Assume that the two population variances are equal.
A researcher is concerned that his new antihypertensive medication may be causing insomnia in some of his patients. Suppose he gathers an SRS of 65 patients treated with the study drug with a sample average of 6.6 hours of sleep and a σ=1.1. Assuming that insomnia can be quantified as an average of 4.5 hours of sleep, can we determine with 95% confidence that his drug avoids diagnosis of insomnia as a side-effect?
The test statistic z=1.42 is obtained when testing the claim that p>4 a) find the p value B) using a significance level that alpha =0.01, should we reject the null hypothesis or fail to reject the null hypothesis
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Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 191 cm and weights of 37 to 150kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.79cm, y=81.51kg, r=0.293, P-value=0.003, and y=−106+1.17x. Find the best-predicted value of y (weight) given an adult male who is 147cm tall. Use a 0.10 significance level.
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses. H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…
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An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 7070 type K batteries and a sample of 8585 type Q batteries. The type K batteries have a mean voltage of 8.848.84, and the population standard deviation is known to be 0.3030.303. The type Q batteries have a mean voltage of 9.059.05, and the population standard deviation is known to be 0.3670.367. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let μ1μ1 be the true mean voltage for type K batteries and μ2μ2 be the true mean voltage for type Q batteries. Use a 0.010.01 level of significance. Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to three decimal places.
To evaluate the effect of a treatment, one sample of n=8 is obtained from a population with population mean: u=40 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M=35. 1. If the sample variance is s^2=32, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with alpha=.05? (show work please, and state both experimental and statistical hypotheses, and state your decision regarding the H0. (all 4 steps of hypothesis test) 2a. If the sample variance is s^2=72, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with alpha=.05? (please show your work and state your decision regarding the H0.) 2b. Calculate Effect size by using r^2 (percentage of variance explained) and state the meaning of effect size.

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