Use technology to find the​ P-value for the hypothesis test described below.   The claim is that for a smartphone​ carrier's data speeds at​ airports, the mean is μ=18.00 Mbps. The sample size is n=12 and the test statistic is t=2.605.   ​P-value=_______

Test the indicated claim about the means  of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.01 significance level, test the claim that blue enhances performance on a creative task. Red Background Blue Background n1 = 41 n2 = 44 xˉx̄1 = 19.2 xˉx̄2 = 18.7 s1 = 0.88 s2 = 0.35 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer μ(blue) s₁² μ₂ p₂ p̂₁ σ₁² p μ₁ x̄₂ μ x̄₁ p₁  ? < ≥ ≠ ≤ = >  Select an answer p₁ μ s₁² σ₁² μ₂ p₂ x̄₁ p̂₁ μ(red) μ₁ p x̄₂ H1: Select an answer x̄₁ x̄₂ p₁ μ₁ μ μ(blue) p p₂ σ₂² s₂² p̂₂ μ₂  ? ≤ < = ≥ ≠ >  Select an answer σ₁² x̄₂ p₁ x̄₁ μ₁ p p₂ μ μ₂ p̂₁ s₁² μ(red)     Original Claim = Select an answer H₁ H₀ df =  Based on…

Use the random sample data to test the claim that the mean travel distance to work in California is less than 35 miles. Use 1% level of significance. Sample data:   x¯=32.4 mis=8.3 min=35   Identify the tail of the test. Find the P-value        Will the null hypothesis be rejected?        Is the initial claim supported?

Consider the data below. Three random samples in different cities were selected. Water use per household per day were measured. Test the claim that the samples come from populations with the same mean. Assume all requirements have been met. Use a 5% level of significance. 1. Identify the tail of the test. [ Select ] 2. Find the P-value. [ Select ] 3. Will the null hypothesis be rejected? [ Select ] 4. Do the populations appear to have the same mean? [ Select ] Sample Data City 1 City 2 City 3 70 66 66 70 64 66 55 45 54 60 41 61 65 58 65 45 44 65 55 46