Question

for the type of test statistic, is it z, t, chi square or F. please help with this entire question

Tee Roaring 105.02 A laboratory claims that the mean sodium level, H. of a healthy adult is 140 mq 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 144 mq per liter of blood. It is known that the population standard deviation of adult sodium levels is 11 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.01 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 The null hypothesis: р o P The alternative hypothesis: X s ca Og The type of test statistic: (Choose one) DO OSO 020 Owa << > The value of the test statistie: (Round to at least three decimal places.) х 6 ? The two critical values at the 0.01 level of significance: (Round to at least three decimal places.) and I Can we conclude that the population mean adult sodium level differs from that claimed by the laboratory? Yes No

Answer 1

Step 1:

Ho: $\mu$ = 140 (Claim)

Ha: $\mu$ $\neq$ 140

Step 2: Test statisics

n = 9

sample mean = 144

population sd = 11

Assuming that the data is normally distrbuted, we will use z stat.

T- o/vn = 144 - 140 11/9

z = 1.091

Step 3:

$\alpha =$ 0.01

The z-critical values for a two-tailed test, for a significance level of α=0.01

zc ​ = − 2.58 and zc ​ = 2.58

As the z stat does not fall in the rejection area, we fail to reject the Null hypothesis

NO - Hence we do not have sufficient evidence to believe that population mean adult sodium level differs from that claimed by the laboratory.