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In: Statistics and Probability

For normal population with known standard deviation, the x% confidence interval for the population mean µ...

For normal population with known standard deviation, the x% confidence interval for the population mean µ has a lower end point (z times the standard error) below the sample mean and a upper end point (z times the standard error) above the sample mean. That is, the x% CI is given as

Sample mean ± z *standard error

For 95% CI, the value for z is

Answer 1Choose...2.581.6451.280.9751.96

For 80% CI, the value for z is

Answer 2Choose...2.581.6451.280.9751.96

For 90% CI, the value for z is

Answer 3

2.

The population mean weight for Australian men (18 years and over) was reported to be 85.9 kg. It can be assumed that the population man's weight is normally distributed with a standard deviation σ = 15 kg. A student was curious if the mean Australian men weight is really 85.9 kg. He performed a hypothesis test. A random sample of 9 individuals were selected and their weights were recorded. The sample mean weight was found to be 84 kg. What is the relevant hypothesis test ? And what is the value of the test statistic ?

The relevant hypothesis test is

Answer 1Choose...0.381.96two-independent-sample t-test-1.96two-independent-sample z-testone-sample z test-0.38-1.141.14one-sample-t-test

The test statistic has a value

Answer 2Choose...0.381.96two-independent-sample t-test-1.96two-independent-sample z-testone-sample z test-0.38-1.141.14one-sample-t-test

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