# Null Hypothesis

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A laboratory claims that the mean sodium level... see attached

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##### Solution Summary

A laboratory claims that the mean sodium level, , of a healthy adult is mEq per liter of blood. To test this claim, a random sample of adult patients is evaluated. The mean sodium level for the sample is mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is mEq. Can we conclude, at the 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: H : ____

0

The alternative hypothesis: H : _____

1

The type of statistic: a. Z

b. t

c. Chi square

d. F

The value of the test statistic: ______

(Round your answer to at least

three decimal places.)

The p-value: _____

(Round your answer to at least

three decimal places.)

Can we conclude that the population mean adult sodium level differs from that claimed by the laboratory? Yes or No?

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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