Lucy is using a one-sample t‑test based on a simple random sample of size n=27 to test the null hypothesis h0: μ=8.000 cm against the alternative h1: μ< 8.000 cm. the sample has mean x⎯⎯=8.137 cm and standard deviation is s=0.822 cm. determine the value of the t‑statistic for this test. give your answer to three decimal places.

t= 0.866

Step-by-step explanation:

Formula to find t-test statistic :

where, n= sample size

= sample mean

= Population mean

=sample standard deviation

Given : Null hypothesis : H0:μ=8.000 cm

Alternative hypothesis : H1:μ<8.000 cm , since alternative hypothesis is one-tailed , so the test is one-tailed test.

Then , the t‑statistic for this test will be :-

Hence, the value of the t‑statistic for this test : t= 0.866

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

62.5 paisa

step-by-step explanation:

4000*70 = 280000

280000-(2000*90) = 100000

4000-2400 = 1600

100000/1600 = 62.5

( give brainliest)