Question

Suppose a university advertises that its average class size is 35 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 43 classes was​ selected, and the average class size was found to be 36.1 students. Assume that the standard deviation for class size at the college is 7

students. Using α=0.10​, complete parts a - e below.

a) Determine the null and alternative hypotheses.

b) The​ z-test statistic is

c) The critical​ z-score(s) is(are)

d) Because the test statistic _____, ___ the null hypothesis.

e) Determine the​ p-value for this test.

Answer 1

Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

Let arg Close size Le. als Henee our test in Ho u < 35 to: a > 35 n = 4 3 x = sangle Mean 361 s sod b) Henee. text statix te Z= rnc Yeo) S = 743 (36.1 – 35) 7 1.03045 =16.0305 Cadecimal Rounded) es @ritzcal a score Za = o. i =11.2816 (from 2 table) oll Because the text statistie is dess than eritical z seore Do Not Reject the Null by pothesis el P valve = 8 [27 1.03045] 0.15139947 0.1514 (A decimal pounded) = (From z tobe e) 12