Let X1 X2 X121 be a random sample from an unknown distribut

Let X_1, X_2 ,..., X_121 be a random sample from an unknown distribution. After observing this sample, the sample mean and the sample variance are calculated to be

X_bar = 29.25, S^2 = 20.7

Design a test to decide between:

H_0: ? = 30
H_1: ? < 30

and calculate the P-value for the observed data.

Hence we accept the null hypothesis.

Hypothesis Test: Mean vs. Hypothesized Value

	0.0000	hypothesized value
	29.2500	mean sample
	4.5497	std. dev.
	0.4136	std. error
	121	n


	70.72	z
	1.0000	p-value (one-tailed, lower)

Let X_1, X_2 ,..., X_121 be a random sample from an unknown distribution. After observing this sample, the sample mean and the sample variance are calculated to

Let X1 X2 X121 be a random sample from an unknown distribut

Solution

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