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

Four sentences:
 1) What you must do is divide the x axis into equal parts.
 2) n = 212/5 = 42.4.
 3) Each unit of the x axis is worth 42.4. Therefore, you can graph the coordinate -212 at x = -5
 4) The y-axis can maintain its magnitut and graph the -4 coordinate in y = -4