Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.PopulationSample SizeSample MeanSample Variance14910.39.642588.515.42A 90% confidence interval for ₁-₂ is 0.68 to 2.92 and a 99% confidence interval for ₁-₂ is 0.05 to 3.55. Use these confidence intervals to answer the questions.Can you conclude with 99% confidence that there is a difference in the means for the two populations?Ⓒ Yes. The value #₁ - ₂2=0 is not in the interval which suggests that there is likely a difference between ₁ and 1₂.₂ = 0 is not in the interval which does not suggest that there is a difference between andH1 #₂.O No. The value μ₁ -O No. The value μ₁ -₂ = 0 is in the interval which does not suggest that there is a difference between andM₂ 1₂"andH₂ H₂²Yes. The valueandH₂ H₂"= 0 is in the interval which suggests that there is likely a difference betweenM₁ - H₂Can you conclude with 99% confidence that there is a difference in the means for the two populations?O Yes. The value #₁ - #₂ = 0 is not in the interval which suggests that there is likely a difference betweenNo. The value #₁ - ₂ = 0 is not in the interval which does not suggest that there is a difference betweenNo. The value μ₁ −μ₂ = 0 is in the interval which does not suggest that there is a difference betweenO Yes. The value μ₁ - ₂ = 0 is in the interval which suggests that there is likely a difference between H₂ and 42-M1M₂ and #₂"and ₂

We have given information, An Independent random sample was selected from two quantitative…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
If other factors are held constant, which of the following sets of data would produce the largest value for an independent-measures t statistic? Question 3 options: The two samples both have n = 15, with sample variances of 20 and 25. The two samples both have n = 15, with variances of 120 and 125. The two samples both have n = 30, with sample variances of 20 and 25. The two samples both have n = 30, with variances of 120 and 125.
do B AND C
Given two independent random samples with the following results: n₁ = 16 n₂ = 8 x₁ = 94 X2: $₁ = 16 = 124 $2 = 28 Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Copy Data Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
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 9 and an IRS from B of size 4. The POOLED variance is 18.72. What is the MARGIN OF ERROR for the 99 percent confidence interval for the difference of population means if we assume both populations have the same population variance? Group of answer choices
Girls ?̅ = 30.4 hg ? = 7.1 hg ? = 205 Boys ?̅ = 30.4 hg ? = 7.1 hg ? = 205 In a study on birth weights, the following summary statistics are found:Use a 95% confidence level to construct the confidence interval estimates of the mean for each set of summary statistics.Which score (? or ?) should be used as the critical value? __________________The confidence interval for the birth weight of girls is __________________ < ? < _________________.The confidence interval for the birth weight of boys is _________________ < ? < _________________.Does it appear that boys and girls have very different birth weights? Support your answer.
You wish to test the following claim (��) at a significance level of �=0.002. ��:�1=�2 ��:�1≠�2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 50.2 77.2 87.1 65 64.2 58.4 78 60.5 72.6 53.1 51.2 75.6 64.2 93.6 68.6 63.8 71.9 74.9 74.5 54.6 59.2 61.8 90.1 73.6 55.4 62.6 68.6 71.6 67.9 87.3 51.9 85.2 81.3 76.3 54 59.6 59.6 88.6 50.8 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value =
4. QUESTION A precision instrument is guaranteed to be accurate within 2 units. A sample of four instrument readings on the same object yielded the measurements 353 351 351 355. 4.1 Construct a 95% confidence interval for the variance of the instrument's precision readings 4.2 It is believed that the variation in the instrument's precision readings is equal to 0.5. From your confidence interval, is there sufficient evidence to conclude that the variance differs from 0.5? Explain your answer
The mean ACT score for 43 male high school students is 21.1 and the standard deviation is 5.0. The mean ACT score for 56 female high school students is 20.9 and the standard deviation is 4.7. At the 1% significance level, can you reject the claim that male and female high school students have equal ACT score averages? Be sure to use the p-value to make your conclusion.
Given two dependent random samples with the following results: Population 1 35 34 45 30 49 25 34 Population 2 44 24 40 42 38 31 43 Use this data to find the 90% confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Step 2 of 4 : Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places. please highlight the answer
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.

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