Question

a group of third grade students is taught using a new curriculum. a control group of third grade students is taught using the old curriculum. the reading test scores for the two groups are shown in the back - to - back stem - and - leaf plot. at α = 0.10, is there enough evidence to support the claim that the new method of teaching reading produces higher reading test scores than the old method does? assume the population variances are equal. complete parts (a) through (e) below. assume the samples are random and independent, and the populations are normally distributed. old curriculum new curriculum 7|3| 4 0|4|8 9 9 7 6 6 3 3 0|5|1 2 9 8 6 4 2 1 0 0|6|0 0 1 2 2 3 5 5 8 8 8 9 |7|0 0 1 5 6 6 8 9 |8|3 8 key: 4|7|0 = 74 old and 70 new d. \the new method of teaching reading produces equal reading test scores as the old method.\ what are h₀ and hₐ? assume that μ₁ represents the mean of the test scores of those taught with the μ₂ represents the mean from the new curriculum. identify the claim. the null hypothesis, h₀, is μ₁ ≥ μ₂. the alternative hypothesis, hₐ, is μ₁ < μ₂. which hypothesis is the claim? the null hypothesis, h₀ the alternative hypothesis, hₐ

Explanation:

The claim is that the new method produces higher scores, i.e., \(\mu_2 > \mu_1\) (since \(\mu_1\) is old, \(\mu_2\) is new). The alternative hypothesis \(H_a: \mu_1 < \mu_2\) matches this claim (as it states the new mean is higher than the old). The null hypothesis \(H_0: \mu_1 \geq \mu_2\) is a statement of no difference or the opposite of the claim. So the claim corresponds to \(H_a\).

Answer:

The alternative hypothesis, \(H_a\)