Consider the following hypothesis test: h 0: 20 h a: < 20 a sample of 60 provided a sample mean of 19.5. the population standard deviation is 1.8. a. compute the value of the test statistic (to 2 decimals). if your answer is negative, use minus "-" sign. b. what is the p-value (to 3 decimals)? c. using = .05, can it be concluded that the population mean is less than 20? d. using = .05, what is the critical value for the test statistic (to 3 decimals)? if your answer is negative, use minus "-" sign.

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.          

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

We use One-tailed z test to perform this hypothesis.

Formula:

Putting all the values, we have

Now,

Since,  

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

6mm^3 or .6cm^3

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  36     6

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6     6   6

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