There may be more than one correct answer for each question. Circle All answers

Question

There may be more than one correct answer for each question. Circle All answers which are correct. Circle letter of the following methods that would decrease the width of a confidence interval for a mean, if all else stays the same. Increase the sample size. Decrease the sample size. Increase the level of confidence. Decrease the level of confidence. None of the above. A 95% confidence interval indicates that: 95% of the intervals constructed using this process based on same-sized samples from this population will include the population mean. 95% of the time the interval will include the sample mean 95% of the possible population means will be included by the interval 95% of the possible sample means (same-size samples) will be included by the interval None of the above. Which of the following is true if your P-value is 0.01 and your a is 0.05? You reject H_a. You do not reject H_a. Your results are significant. Your results are not significant. None of the above. John took a simple random sample of 25 lemon drop packs from a box that was shipped to him, and he counted how many lemon drops were in each pack. From the sample, he calculated a 99% confidence interval of (25.99, 34.02). The company claims that their packs of lemon drops each contain an average of 36 lemon drops. John wanted to use his confidence interval to determine if the company w as correct. Conclusion? The company is correct. John would fail to reject his null hypothesis at the 1% level of significance because 36 falls outside the range of the confidence interval. John would reject his null hypothesis at the 1% significance level because 36 falls outside the range of the confidence interval. John would reject his null hypothesis at the 5% since the 95% confidence interval is more narrow than the 99% confidence interval, so it would also not contain 36. Both c and d are correct.

Explanation / Answer

1) a and d , by increasing the sample size you are going near to the tru mean.

2) b

A confidence interval measures the probability that a population parameter will fall between two set values.

3) b and d

We reject the null hypothesis if the p value of the test is less than the significance level

4) e

95% confidence interval will be narrower than 99% confidence interval

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