A laboratory claims that the mean sodium level, J, of a healthy adult is 142 mEq per liter of blood. To test this claim, a random sample of 46 adult patients is evaluated. The mean sodium level for the sample is 147 mBq per liter of blood. It is known that the population standard deviation of adult sodium levels is 13 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 complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) DO (a) State the null hypothesis Ho and the alternative hypothesis H. O P X S P H :0 D (b) Determine the type of test statistic to use. (Choose one) V 0=0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values. (Round to three or more decimal places.) X [ and (e) Can we conclude that the population mean adult sodium level differs from that claimed by the laboratory? O Yes O No