Question

To obtain format on o the comes on esistance proper es of a certain type of sted con t, 45 speamens are buried in soil or a 2-yaar penod. The ma mum penetration in m s or each specmen s then measured y na a sample average pen tration o x = 52.9 and a sample standard de ation at s 4 i The conduits were manifac red viltn the snec cation that true averaQA penetratiถn e at most sn mi Thev will be used unless it can he d mnn rated noncludvelv that the q ecification as not been met what would yol ronduda? Ilse 0.05 State the appropriate null and alternative hypctheses, i -50 si >50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P.value to four dedimal places.) pvelue State the candusion in tha problem content. Do not reject the null hypotheis. There is not sufficient evidence to conclude that the true average penetration is mare than 50 mils O Do not reject the null hypothesis. There is sufficient evidence to conclude that the truc average penetration is more than mils. O Rajact the null hypathesis. Thara is not suffident eidenca to conclude that tha true average penstration is mare than 50 mils Feject the null hypathesis. There is sutticient evidence to conclude that the true average penetration is more than 50 mils

Answer 1

xbar = 52.9
s = 4.1
n = 45

Test statistic
z = (xbar - mu)/(s/sqrt(n))
z = (52.9 - 50)/(4.1/sqrt(45))
z = 4.74

p-value = 0.0000