On the basis of her newly developed technique, a student believes she can reduce the amount of time schizophrenics spend in an institution. As director of training at a nearby institution, you agree to let her try her method on 20 schizophrenics, randomly sampled from your institution. The mean duration that schizophrenics stay at your institution is 90 weeks, with a standard deviation of 10 weeks. The scores are normally distributed. The results of the experiment show that patients treated by the student stay at the institution a mean duration of 84 weeks. What do you conclude about the student’s technique? Use α = .05. What are the 7 steps?

Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.

What are the seven steps involved in the above exercise are:

Two-Tailed (non-directional test)
Alpha (α) = 0.05
μ = 90
σ = 10
N = 20
X = 84
s = 10

Using ∝ = 0.05₂ tail, the conclusion is given as follows:

Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]

= - 6/10/‭3.1622777

= -6/‭3.1622777

= -1.8973666

Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960

Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960

Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] | Z[tex]_{crit}[/tex] = -1.960 |

It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.

Learn more about Significance Testing at:
https://brainly.com/question/15980493