A random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample sta
ndard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 9.5. (a) Is it appropriate to use a Student's t distribution? Explain. How many degrees of freedom do we use?
(b) What are the hypotheses?
(c) Compute the sample test statistic t.
(d) Estimate the P-value for the test.
(e) Do we reject or fail to reject H_0?
(f) Interpret the results.
Given that random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2.
95 % CI for mean 9.1744 to 10.8256
Since p >0.05 accept null hypothesis.
a) Yes because std dev sigma not known. df = 24
b)
H0: x bar = 9.5
Ha: x bar not equals 9.5
c) t-statistic 1.250
d) P = 0.2234
e) We fail to reject null hypothesis
f) There is no statistical evidence at 5% level to fail to reject H0.
let's recall that a circle has a total of 360°, so a circular clock has 60 minutes, and if we divide those 360° into 60 even intervals, that'd be 360/60 or 6° per minute.
so since 1 minute is 6°, then 23 minutes is just 23 * 6 degrees.