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In: Statistics and Probability

Test the claim about the population mean mu at the level of significance alpha. Assume the...

Test the claim about the population mean mu at the level of significance alpha. Assume the population is normally distributed. ​Claim: mu greater than 11​; alpha equals​0.05; sigmaequals1.2 Sample​ statistics: x overbar equals11.3​, n equals50

Solutions

Expert Solution

Solution :

= 11

= 11.3

= 1.2

n = 50

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   = 11

Ha : > 11

Test statistic = z

= ( - ) / / n

= (11.3 - 11) /1.2 / 50

= 1.768

p(Z >1.768) = 1-P (Z <1.768 ) =0.0385

P-value = 0.0385

= 0.05  

p= 0.0385 < 0.05, it is concluded that the null hypothesis is rejected.

There is enough evidence to claim that the population mean μ is greater than 11, at the 0.05 significance level.

orchestra answered 2 years ago
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