Null Hypothesis: u<= 200.
Alternative Hypothesis: u>XXX
We assume XXX XXXX Hypothesis XX be XXXX XXX try XX either XXXXXX it or fail XX reject it.
To XXXXXXX XXXX test, XX XXXX the standard deviation XX the sample means XXXXX XX XXXXX XX the XXXXXXX:
(XXXXXX standard XXXXXXXXX)/sqrt(sample size) = 16/XXXX(10) = X.XX
XXXX we calculate XXX t-XXXXX: (XXXXXX XXXX - population XXXX)/(standard deviation XX XXXXXX XXXX) =
(XXX - XXX)/X.XX = X.XXX
XX need to XXXX the probability XX obtaining a t-score of X.XXX or higher, so XX use XXXXXX a table of p-values for a t-distribution or a XXXXXXXXXX's tcdf() function.
For either of these XXXXXXX, XX need XXX degrees of freedom which equals sample XXXX - 1 = XX - 1 = X.
XXXXX a table, XXXX XXXX the p-XXXXX for XXX t-score XXX degrees XX freedom.
XXX a calculator (XXXX XX Ti-84), XXX XXXXXXXX tcdf(1.976, X*10^99,9) = X.XXXX = p-value.
XXXXX XXX p-XXXXX, 0.XXXX, is XXXX than XXX significance level XX 0.XX, XX can XXXXXX XXX XXXX. XXXXX is significant XXXXXXXX XXXX the average XXXX is XXXXXX XXXX $XXX.
Note: we XXXXXX accept a hypothesis, only reject or XXXX XX XXXXXX. Hope this helps :)