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.

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step-by-step explanation: