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Tracy Theoretical Ostribution Du The Z Distribution pictured above is also known as the Standard Normal Distribution. We can write this as Z ~ N(0,1) which is notation for 'Z is normally distributed with mean = 0 and a standard deviation = 1! In Statkey use the Normal Distribution in 'Theoretical Distributions' to calculate the area in left and right tails more extreme than z = -2.17 & z = 2.17. Give your answer to 3 decimal places. Answer:
= Use the hypotheses Ho: u = 57 and Ha:p> 57, the sample statistics i = 58.5, SE = 0.783 & Statkey (Theoretical Distributions - Normal) to calculate a p-value. Round your test statistic to 3 decimal places when using StatKey and give your final p-value answer to three decimal places. Hint: You need to consider whether the p-value is in one or two tails of the distribution. p-value = (3dp) For an example of how to do a calculation like this see this demo in Excel.
- Use the hypotheses Ho: u = 75 and Ha: u 75, the sample statistics i = 82.5, SE = 3.469 & StatKey (Theoretical Distributions - Normal) to calculate a p-value. Round your test statistic to 3 decimal places when using StatKey and give your final p-value answer to three decimal places. Hint: You need to consider whether the p-value is in one or two tails of the distribution p-value = (3dp) a For an example of how to do a calculation like this see this demo in Excel.
N(4,0) indicates a normal distribution with a mean, and standard deviation, o. We can calculate areas in the tails of any normal distribution using StatKey. Open StatKey, go to 'Theoretical Distributions' and choose 'Normal'. You can then use the 'Edit Parameters' button to change the mean and standard deviation as necessary. For the following normal distributions find the probabilities (areas) to the right of 110. N(100,5) Choose... N(100,1) Choose... - N(100,15) Choose... - N(100,100) Choose... -
The general form for a confidence interval is: Sample Statistic z'. SE where -z & ż are the values on a Standard Normal Distribution, N(0,1) that the Confidence Level % lies between. An example for a 95% confidence interval can be seen in the picture below. Here we can see the -z' & z' on the horizontal axis, -1.960 and 1.960. Consider how this relates back to our 95% rule that says approximately 95% of the normal distribution is between 2 standard deviations either side of the mean. Ounawa 0.35 0.30 025 0.30 0.025 OVO 0.15 D10 00 1.00 What are the -z' & z' values for an 90% confidence interval +2.327 +2.576 O 1.282 1.645
of The general form for a confidence interval is: Sample Statistic 2.SE Where z* is sometimes referred to as the critical value and is chosen so that the proportion between -ze and +z* in the standard normal distribution is the confidence level. This is more accurate than using 2xSE for the margin of error from earlier in the course. Calculate the lower and upper limits of a 90% confidence interval for a population proportion given: p = 0.33 SE = 0.05 Round your answer to 3 decimal place. 90% Confidence interval =( For an example of how to do a calculation like this see this demo in Excel. What inference can we make about a 90% confidence interval in general?
In the construction of confidence intervals, if all other quantities are unchanged, a 95% confidence interval will be than a 99% confidence interval. Select one: O a. Narrower b. Wider O c. Unchanged d. Biased
In the construction of confidence intervals, if all other quantities are unchanged, a decrease in the sample size will lead to a interval. Select one: O a. Narrower b. Wider c. Unchanged d. Biased