Question

Given the following hypotheses: H0: μ = 600 H1: μ ≠ 600 A random sample of 16 observations is selected from a normal population. The sample mean was 609 and the sample standard deviation 6. Using the 0.10 significance level:

State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

	Reject H0 when the test statistic is outside the interval ( , ).

?

Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Answer 1

Solution :

= 600

=609

s =6

n = 16

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :    = 600

H_a :     600

Test statistic = t

= ( - ) / s / n

= (609 -600) / 6 / 16

= 6

Test statistic = t =  6.000

P-value = 0

= 0.10

P-value <

0 < 0.10

Reject the null hypothesis .

There is sufficient evidence to suggest that   

The interval is 606.37 < <; 611.63