Acompany that produces garden hoses claims their product has a lifespan of at least 20 years. thus, they came up with the following hypothesis test.

h0 : μ ≥ 20
ha : μ < 20

a sample of 50 garden hoses provided a mean lifespan of 19.4 years, with a (population) standard
deviation of 2.

(a) compute the z-value test statistic

b) what is the p-value?

c) using α = 0.05, do you reject h0 or fail to reject h0?

(a) z-value = -2.12

(b) p-value = 0.0170

(c) Reject H0

Step-by-step explanation:

(a)

(b)

with

z-value = -2.12

significance level = 0.05

one-tail hypothesis (H0: μ ≥ 20)

We can see on the normal distribution table (Z-Score table) that

p-value = 0.0170

(c)

Since p value (0.0170) is less than α=0.05 we reject H0

Hope this helps!

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

step-by-step explanation:

a and d