Question

Asked Apr 23, 2019

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,

*H*_{0} : *µ* ≥45 vs *H*_{a} : *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, *µ _{0}* 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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