The table below contains observations of ten snowfall events (in feet) at two locations (high and...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The table below contains observations of ten snowfall events (in feet) at two locations (high and low elevations). Event # High elevation Station A Low elevation Station B 1 57.60 31.50 2 45.65 29.35 3 38.50 22.35 4 32.75 20.85 5 31.95 18.35 9 28.50 11.50 7 27.65 10.95 8 26.80 10.15 6 25.25 8.75 10 23.75 7.45 The Sample Means and SDS are as follows: High Elevation Station A: Mean of 33.84, SD of 10.66 Low Elevation Station B: Mean of 17.12, SD of 8.70 1) Perform a two-sample t-test (for independent samples) on this data set to evaluate whether snow totals are significantly greater at the higher elevation station. 2) Is this a one-tailed OR two-tailed test? Explain. 3) State your null and research/alternate hypotheses. 4) Find the degrees of freedom. What are your t-critical values at the 5% and 1% levels? Test these hypotheses at BOTH the 5% and 1% significance level. What is your calculated t-value? 5) State your conclusion at the 5% level. Include statements about whether you rejected or failed to reject your Null hypothesis etc. Is there a statistically significant increase in snowfall at the higher elevation station at the 5% level? 6) State your conclusion at the 1% level. Include statements about whether you rejected or failed to reject your Null hypothesis etc. Is there a statistically significant increase in snowfall at the higher elevation station at the 1% level? 7) Go back to the table in the book where you found your critical values. What number of "degrees of freedom" would have caused you to draw different conclusions at both the 5% and 1% significance levels? What does this tell you about the relationship between sample size and rejecting the null hypothesis? Ex: Does having a larger sample make it easier or harder to exceed a critical t-value? Explain. **NOTE: Statistically-speaking, the confidence level is the probability that your sample statistic falls in the body of the curve, whereas the significance level is the probability it does not fall in the body of the curve. 8) Using the above definitions, in which test [#5 at the 5% level OR #6 at the 1% level] would you have more statistical confidence? Why? (Hint-the answer has nothing to do with the actual numbers you calculated-it is a question about the relationship between statistical significance and confidence. 9) If the significance level was 0.01, what would be your confidence level? (Recall that the two together equal the total area under the normal curve.) The table below contains observations of ten snowfall events (in feet) at two locations (high and low elevations). Event # High elevation Station A Low elevation Station B 1 57.60 31.50 2 45.65 29.35 3 38.50 22.35 4 32.75 20.85 5 31.95 18.35 9 28.50 11.50 7 27.65 10.95 8 26.80 10.15 6 25.25 8.75 10 23.75 7.45 The Sample Means and SDS are as follows: High Elevation Station A: Mean of 33.84, SD of 10.66 Low Elevation Station B: Mean of 17.12, SD of 8.70 1) Perform a two-sample t-test (for independent samples) on this data set to evaluate whether snow totals are significantly greater at the higher elevation station. 2) Is this a one-tailed OR two-tailed test? Explain. 3) State your null and research/alternate hypotheses. 4) Find the degrees of freedom. What are your t-critical values at the 5% and 1% levels? Test these hypotheses at BOTH the 5% and 1% significance level. What is your calculated t-value? 5) State your conclusion at the 5% level. Include statements about whether you rejected or failed to reject your Null hypothesis etc. Is there a statistically significant increase in snowfall at the higher elevation station at the 5% level? 6) State your conclusion at the 1% level. Include statements about whether you rejected or failed to reject your Null hypothesis etc. Is there a statistically significant increase in snowfall at the higher elevation station at the 1% level? 7) Go back to the table in the book where you found your critical values. What number of "degrees of freedom" would have caused you to draw different conclusions at both the 5% and 1% significance levels? What does this tell you about the relationship between sample size and rejecting the null hypothesis? Ex: Does having a larger sample make it easier or harder to exceed a critical t-value? Explain. **NOTE: Statistically-speaking, the confidence level is the probability that your sample statistic falls in the body of the curve, whereas the significance level is the probability it does not fall in the body of the curve. 8) Using the above definitions, in which test [#5 at the 5% level OR #6 at the 1% level] would you have more statistical confidence? Why? (Hint-the answer has nothing to do with the actual numbers you calculated-it is a question about the relationship between statistical significance and confidence. 9) If the significance level was 0.01, what would be your confidence level? (Recall that the two together equal the total area under the normal curve.)
Expert Answer:
Related Book For
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
Posted Date:
Students also viewed these mathematics questions
-
A researcher wanted to find out if there was difference between older movie goers and younger movie goers with respect to their estimates of a successful actors income. The researcher first...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
A section of a warehouse is 31 feet high. Boxes that are each two feet high are to be stacked in the warehouse. How many boxes can be stacked one on top of the other? O a. 29 O b. 33 O c. 62 O d. 15.5
-
Describe the psychographic and behavioural traits of the WestJet "road warrior" segment?
-
Review Conceptual Example 2. Suppose that in Figure 25.9b the two perpendicular plane mirrors are represented by the -x and -y axes of an x, y coordinate system; mirror 1 is the -x axis, and mirror 2...
-
The tube is 0.25 in. thick, is made of a 2014-T6 aluminum alloy and is pin connected at its ends. Determine the largest axial force it can support. 6 in. y 10 ft P 6 in. x P
-
GloFish, Inc. has genetically engineered a species of fish that glows in normal lighting conditions. The company believes the new fish will be a huge success as a new pet option for children and...
-
Define SPARCS and discuss the following: 1. Purpose - why was it developed. 2. Review data elements collected. 3. Identify how this data is meaningful to New York State and other healthcare...
-
. Explain why Americas two-party system is consistent with its electoral mechanisms and public opinion.
-
Consider the stochastic equipment replacement problem we discussed in class. Specifically, we need to have a machine for 5 periods. The quality of the machine -indexed with j- can be 0,1, or 2 with 0...
-
Determine the group velocity of the m = 1 (TE or TM) mode in an air-filled parallel-plate guide with d = 0.5 cm at f= (a) 30 GHz, (b) 60 GHz, and (c) 100 GHz.
-
1- Discussion on how the 'timeliness' characteristic be of useful to the management accountants in making decisions. 1.1 Able to provide four usefulness/importance of 'timeliness' to the management...
-
Your goal as manager is to increase employees' sensitivity to cultural differences among people within your organization. Which of the following would help you achieve your goal? A) B) encouraging...
-
The equity section from the December 3 1 , 2 0 2 3 balance sheet of Kentucky Corporation appeared as follows: 2 0 2 4 2 0 2 3 Contributed capital: Common shares, 4 7 , 3 0 0 shares authorized; 2 4 ,...
-
British Airways and Gate Gourmet (2005) In August 2005, Gate Gourmet, to whom British Airways had outsourced its in-flight catering in 1997, sacked 650 staff who had stopped work to hold a canteen...
-
A regular deposit of $100 is made at the beginning of each year for 20 years. Simple interest is calculated at i% per year for the 20 years. At the end of the 20-year period, the total interest in...
-
Use units to help you find the missing information. a. How many ounces are in 5 gallons? (There are 8 ounces per cup, 4 cups per quart, and 4 quarts per gallon.) b. How many meters are in 1 mile?...
-
A bug is crawling up a wall with locations given in the table at right. The variables x and y represent horizontal and vertical distances from the lower left corner of the wall, measured in inches,...
-
In 1991, the population of the People's Republic of China was 1.151 billion, with a growth rate of 1.5% annually. a. Write a recursive formula that models this growth. Let u0 represent the population...
-
What are a manager's resources?
-
What are the three levels of management?
-
This stagecoach likely makes a stop near you. Wells Fargo \& Company owns Wells Fargo Bank, which is one of the largest banks in the US with more than 8,800 bank branches in 40-plus states. Community...
Study smarter with the SolutionInn App