# Consider the following hypothesis test:Ho: μ> 45Ha: μ < 45A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α-.01 and four decimals for p-value questionsa. with X = 44 and s = 5.2, the p-value is-select your answer-Can it be concluded that the population mean is less than 45?Selectb. with X = 43 and S-4.6, the p-value is | -select your answerCan it be concluded that the population mean is less than 45?Selectc. with X = 46 and s-5.0, the p-value is l -select your answerCan it be concluded that the population mean is less than 45?Select

Question help_outlineImage TranscriptioncloseConsider the following hypothesis test: Ho: μ> 45 Ha: μ < 45 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α-.01 and four decimals for p-value questions a. with X = 44 and s = 5.2, the p-value is-select your answer- Can it be concluded that the population mean is less than 45? Select b. with X = 43 and S-4.6, the p-value is | -select your answer Can it be concluded that the population mean is less than 45? Select c. with X = 46 and s-5.0, the p-value is l -select your answer Can it be concluded that the population mean is less than 45? Select fullscreen
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Step 1

Solution:

Part (a): Finding the p-value for the hypothesis test for population mean and state the conclusion:

Hypotheses:

Let µ be the population mean. The aim is to check whether the population mean is less than 45. The null and the alternative hypothesis is,

H0 : µ ≥45 vs Ha : µ <45.

Step 2

Calculation steps:

Test statistic:

A random sample of size 36 has been taken and asked whether the population mean is less than 45. Given that, n =36  and sample mean, x-bar =44 with its corresponding sample standard deviation, s=5.2 and level of significance as 0.01. Therefore, The hypothetical mean, µ0 is 45.  The test statistic for hypothesis test for mean is given by:

Step 3

where x-bar is the sample mean, µ0 is the hypothesized mean, s is the sample standard deviation and n is the sample size.

Substitute x-ba...

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### Hypothesis Testing 