Student t Hypothesis Test 02a A simple random sample of 12 adults is obtained fr
ID: 3369382 • Letter: S
Question
Student t Hypothesis Test 02a A simple random sample of 12 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.10 and the sample standard deviation is 0.56. Use a 0.05 significance level and the given TI-83/84 calculator display to test the claim that the sample is from a population with a mean less than 5.4 (which is a value often used for the upper limit of the range of normal values) T-Test K5.4 t--1.855768722 P,0452279769 X-5.1 Sx-.56 n-12 Please select all TRUE statements from those given below. Answer For this hypothesis test; 1. Ho: H 5.4 Ha: ? #5.4 2. O The Student-t "test statistic" is-1.86 3. The P-value is.045 4. We decide to reject the Ho null hypothesis 5. We decide to "support" (fail to reject) the sample is from a population with a mean less than 5.4Explanation / Answer
Sol:
From Given output
H0:mean=5.4
H1:mean<5.4
STATEMENT 1 IS NOT TRUE
STATEMENT 2 IS TRUE as t=-1.855=-1.86(rounding to nearest ineger)
STATEMENT 3 IS TRUE p=0.045
STATEMENT 4 IS TRUE reject HOas p<0.05
STATEMENT 5 is TRUE support the sample is from a population with a mean less than 5.4