week 4 week end

A sample of 81 observations is taken from a normal population with a standard deviation of 5. The sample mean is 40.

Determine the 95 percent confidence interval for the population mean. (Round your answers to 3 decimal places.)

Confidence interval for the population mean is

(b)

What is the decision rule? (Round your answer to 2 decimal places.)

H₀ and H₁ when z >

There is evidence to conclude that the population mean is greater than 26.

(e)	What is the p-value? (Round your answer to 4 decimal places.)

	H₀. Ms. Dennis is in concluding that more than 60 percent of the accounts are in arrears for more than three months.

If the critical z-value for a test statistic equals 2.45, what value of the test statistic would provide the least chance of making a Type I error?

[removed]	3.74
[removed]	10,000
[removed]	2.46
[removed]	4.56

The probability of a Type II error is directly related to

[removed]	α
[removed]	The standard deviation.
[removed]	Type I error.
[removed]	The difference between the hypothesized mean and the sample mean.

10,11,12,13, 14

The waiting time for customers at MacBurger Restaurants follows a normal distribution with a mean of 3 minutes and a standard deviation of 1 minute. At the Warren Road MacBurger, the quality-assurance department sampled 50 customers and found that the mean waiting time was 2.75 minutes. At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?

State the null hypothesis and the alternate hypothesis.


H₀: μ ≥	[removed]
H₁: μ <	[removed]

State whether the decision rule is true or false: Reject H₀ if z < – 1.65

[removed]	True
[removed]	False

Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Test statistic is

[removed]

What is your decision regarding H₀?

[removed]	Reject H₀
[removed]	Do not reject H

What is the p-value? (Round your answer to 4 decimal places.)

p-value is

[removed]

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