Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores? Red Background Blue Background X S n 35 15.08 5.96 37 12.81 5.48 What are the null and alternative hypotheses? O A. Ho: 0²1 0²2 H₁:0² = 0²/ OC. Ho: o² = 0²/2 H₁:0² 20² Identify the test statistic. F= (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? OB. Ho: 0²=0²2 H₁:0² <0²/ OD. Ho: o² = 0²/2 H₁: 0²1 0²2 O A. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. D. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. Does the background color appear to have an effect on the variation of word recall scores? A. No, the variation of word recall scores appears to be the same when the color is changed. OB. Yes, the variation of word recall scores appears to be the same when the color is changed. OC. No, the variation of word recall scores appears to be different when the color is changed. O D. Yes, the variation of word recall scores appears to be different when the color is changed.

Listed in the accompanying table are heights​ (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample​ data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters.   ...   Question content area top right Part 1 Mother 62.0 65.0 64.7 65.5 65.0 67.0 66.0 66.5 63.0 58.5   Daughter 68.0 69.0 66.5 63.0 68.0 62.0 66.5 66.7 63.5 66.5       Question content area bottom Part 1 In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the​ daughter's height minus the​ mother's height. What are the null and alternative hypotheses for the hypothesis​ test?   H0​:…

Do cars really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of cars both in the city and on the highway. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.1 significance level, test the claim that the mpg on the highway is better than in the city. MPG on the Highway 35.6 34.3 32.2 33.9 31.1 27.1 33.3 33.4 29.3 33.5 31.4 33.2 33.5 30.8 33.8     MPG in the City 26.4 25.3 18.6 25.6 24.7 24.6 25.1 22.4 29.3 23.7 23.4 22 24 23.6 25.5     What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer p x̄₁ p₁ σ₁² μ₁ μ₂ μ μ(Highway) x̄₂ p̂₁ s₁² p₂  ? ≤ ≠ < ≥ = >  Select an answer p₁ p₂ p̂₁ μ(City) μ μ₁ μ₂ x̄₁ x̄₂ s₁² σ₁² p H1: Select an answer p₂ μ(Highway) p̂₂ σ₂² x̄₁ x̄₂ s₂² μ₁ μ₂ μ p₁ p  ? < ≠ = ≥ ≤ >  Select an answer p₂ p₁ μ₁ σ₁²…

Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What can be concluded? 143 140 141 136 133 Right arm Left arm 180 174 192 140 144 In this example, . is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: Ha = 0 O B. Ho: Hd #0 0 = Prt :H O D. Ho: Hd =0 H O C. Ho: Ha 0 Identify the test statistic. t%3D (Round to two decimal places as needed.) Identify the P-value. P-value (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test?…