Question

A laboratory claims that the mean sodium level, H, of a healthy adult is 139 mEq per liter of blood. To test this claim, a random sample of 9 adult patients is evaluated. The mean sodium level for the sample is 141 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 15 mEq. Assume that the population is normally distributed. 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. g р The null hypothesis: IX s ce The alternative hypothesis: 1,0 DO DS 020 The type of test statistie: (Choose one) The value of the test statistics (Round to at least three decimal places.) 0 ? The p-value Save For Later Submit Assia Check 2020 Mew All Rights Reserved. Terms of Use A

Answer 1

null hypothesis:Ho μ		=	139
Alternate Hypothesis:Ha μ		≠	139

type of test statistic : z

population mean μ=		139
sample mean 'x̄=		141.000
sample size    n=		9
std deviation σ=		15.00
std error ='σx=σ/√n=15/√9=		5.000
value of z statistic= ='(x̄-μ)/σx=(141-139)/5=		0.400

p value        =

0.6892

(from excel:2*normsdist(-0.4)

No (since p value >0.05)