Find the standardized test statistic z for the following situation: Claim: Mu >1

Question

Find the standardized test statistic z for the following situation: Claim: Mu >15; Sample mean of 13.6, s = 3.4, n = 40 z = 2.60 z = -2.60 z = - 0.07 z = 12.90 None Find the critical value(s), t_0, for a two-tailed test, Alpha = 0.05, and n = 8. -t_0 = -1.96 and t_0 = 1.96 -t_0 = -2.306 and t_0 = 2.306 -t_0 = -1.895 and t_0 = 1.895 -t_0 = -2.365 and t_0 = 2.365 None Use technology to find the P-value for the following test: H_0: Mu is less than or equal to 20 H_ a: Mu > 20 sample mean of 21.3, s = 2.1, n = 16 0.0128 0.0257 0.9872 0.0066 None Find the standardized test statistic z for the following situation: Claim: p is not equal to 0.23; x = 52, n = 200 z = 0.97 z = 1.01 z = 0.51 z = -1.01 None Find the standardized test statistic,X^2 for the following situation: Claim: Sigma

Explanation / Answer

19.

Formulating the null and alternative hypotheses,              
              
Ho:   u   >=   15  
Ha:    u   <   15  
              
As we can see, this is a    left   tailed test.      
Getting the test statistic, as              
              
X = sample mean =    13.6          
uo = hypothesized mean =    15          
n = sample size =    40          
s = standard deviation =    3.4          
              
Thus, z = (X - uo) * sqrt(n) / s =    -2.604228661   [ANSWER, B, Z = -2.60]

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20.

For a two tailed test, 0.05 level, n = 8, then

df = n - 1 = 7

therefore, using table/technology, the critical t values are

t0 = -2.365, 2.365 [ANSWER, D]

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