A laboratory claims that the mean sodium level, M, of a healthy adult is 142 mEq per liter of blood. To test this claim, a random sample of 100 adult patients is evaluated. The mean sodium level for the sample is 145 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 11 mEq. Can we conclude, at the 0.05 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory?

Perform a two-tailed test. Then fill in the blanks

Carry your intermediate computations to at least three decimal places, and round your responses as specified in blanks:

A) the null hypothesis:

B) the alternative hypothesis:

C) The Type of test statistic:

D) The value of the test statistic:

E) The two critical values at the 0.05 level of significance:

F) Can we conclude that the population mean adults sodium level differs from the claimed by the laboratory? Y or N