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

c

step-by-step explanation: