Given below the information on the heights (in cm) for two groups of females. Younger Older Sample size, n 80 90 Sample Mean, 164.8 160.3 Sample SD, s 2.65 3.36 (a) Do the data provide sufficient evidence to conclude a difference in the heights between the younger and older females? Perform a hypothesis test at the 1% significance level. (b) Discuss the issue of statistical versus practical significance here.

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A null hypothesis states that p=.7, the observed sample proportion is p=.653 with a sample size of n=90. Determine the z-score. -0.97 O 0.92 -1.48 O 1.35

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…