help with math hw

Question

o test

Upper H0​:

muμequals=100

versus

Upper H1​:

muμnot equals≠​100,

a simple random sample size of

equals=24

is obtained from a population that is known to be normally distributed. Answer parts​ (a)-(d).

Click here to view the​ t-Distribution Area in Right Tail.

​(a) If 104.1

and s=9​,

compute the test statistic.

t=___

Round to three decimal places as​ needed.

Answer 1

The t-statistic = (sample mean - population mean) / sample standard deviation/sqrt(sample size).

The sample mean is 104.1, the population mean = 100, the sample standard deviation is 9 and the sample size is 24, so simply plug in those numbers to get the t-statistic.

The resultant p-value can be acquired from the t-distribution table or via a hand-held or on-line calculator.

Since this is a two-sided test, the p-value will be double that of a one-sided test since testing at both tails.