A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is less than 10 with known variance σ . What is the critical value for the test statistic Z 0 for the significance level of 0.050? Round your answer to two decimal places.

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24 Sep 2021

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Related questions

Consider the following hypothesis test:

H0: µ = 20
Ha: µ < 20
A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.
a. Compute the value of the test statistic (to 2 decimals).

b. What is the p-value (to 3 decimals)?

c. Using a = .05, can it be concluded that the population mean is less than 20?

d. Using a = .05, what is the critical value for the test statistic?

e. State the rejection rule: Reject H0 if z is the critical value.
f. Using a = .05, can it be concluded that the population mean is less than 20

cerisewasp98

The queue manager at a bank believes that their clients spend, on average, less than 15 minutes in the queue. To test his belief the manager commissioned a study, which found out that, from a random sample of 80 customers, the average waiting time was 18 minutes. Assume a population standard deviation of 3 minutes and that the waiting time is approximately normally distributed.
(a) Formulate the null and the alternative hypothesis for this test situation.
(b) Which test statistic (z or t) is appropriate for this test? Give a reason for your answer.
(c) Conduct a hypothesis test for a single mean at 5% significance level. Interpret your results