Question

A laboratory daims that the mean sodium level, p, of a healthy adult is 138 mEq per liter of blood. To test this claim, a random sample of 150 adult patients is evaluated. The mean sodium level for the sample is 137 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 14 meg. 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 table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. 0 P The null hypothesis: X s D The alternative hypothesis: cº DO DISO The type of test statistics (Choose one

Answer 1

given data are:-

$\bar{x}=137,\sigma=14,n=150$

the null hypothesis:-

$H_{0}:\mu=138$

the alternative hypothesis:-

$H_{1}:\mu\neq138$

the type of test statistic = z statistic

the value of the test statistic is :-

Z T- o/vn 137 – 138 14/V150 -0.875

the two critical values are -1.96 and 1.96

[ z critical values for 95% confidence level, both tailed test = 1.96 ]

NO, we can not conclude that the population mean adult sodium level differs from that claimed by the laboratory.

[ z calculated = -0.875 > -1.96 , we fail to reject the null hypothesis.]

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