Question

Dr. Olsen is a population biologist who has been studying white oak trees in the Appalachian mountains of Pennsylvania for many years. Every year of his study, he has collected seeds (acorns) from two populations of White Oaks. For each year he wants to know if there is a difference in the size of the acorns between the two populations. Here is the data for the 2015 Acorn Study - click the link, it will take you to a Google spreadsheet where you will need to copy the correct year's data to your own spreadsheet in order to calculate the following data:

Individual weights of Acorns (g)
White Oaks in Riverside	White Oaks in Ridgeline
6.242473111	3.063680188		Remember, when calculating formulas, you need to start with an equal sign:
5.138645131	5.063895861		=AVERAGE
5.319471636	5.503655711		=STDEV
5.558087252	5.909651653		=VAR
5.949773985	5.597526006		For t-test, use GraphPad: http://www.graphpad.com/quickcalcs/ttest1/?Format=C
6.172719798	4.542636126
5.419370289	6.601770745
5.620948508	4.789863377
6.265638847	4.148578774
4.554685428	5.001874952
6.021048445	3.973842293
5.75345687	6.332861198
5.886063845	5.379607287
6.172023973	4.254369152
5.681123656	5.414600113
5.444148041	5.00979176
5.51376486	4.257818532
5.592132613	5.069333579
6.225212137	5.495278908
5.172819429	5.233340924

Q1: What is the mean weight of the acorns from the Riverside site? (this should be a positive value to 3 decimal places).

Q2: What is the mean weight of the acorns from the Ridgeline site? (this should be a positive value to 3 decimal places).

Q3: Using the data from the prior questions, what is the standard deviation (s-value) to 3 decimal places for the acorn weights from oaks at the Riverside site?

Q4: Using the data from the previous questions, what is the standard deviation (s-value) to 3 decimal places for the acorn weights from oaks at the Ridgeline site?

Q5: Using the data from the prior questions, what is the s² value (variance) to 3 decimal places for the acorn weights from oaks at the Riverside site?

Q6: Using the data from the previous questions, what is the s² value (variance) to 3 decimal places for the acorn weights from oaks at the Ridgeline site?

Q7: Below is the equation for calculating the t-value we are using in this problem set, how many degrees of freedom are there if we were going to calculate the t value from the data set in Q2?

Q8: Using the formula above with the means and standard deviations that you have calculated for the White Oak data set, calculate the t-value to 3 decimal places.

Q9: Using the degrees of freedom that you have calculated from the White Oaks data, use the t-Table below to determine the closest critical value if we want a 95% confidence level and a two-tailed distribution.

Q10: Based on the calculated t-value from the White Oak data and the critical value determined from the t-Table, should you "fail to reject" or "reject" the null hypothesis?

.00 6 1. 2 8 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 12 175 00 8321 0. 12 10 -75544 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 19777 16 t .0 0 6954 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 00. 36 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 222222222222 22 e 26175 5 5 .7 20 3 1 90 0 0 8 t12 31986543 1 2 00 3. 肪50 64197 0 24 1000000000000000000000000000000000 0 00 10000000000000000000000000000000000 0 01-0. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Answer 1

Soluthern "Xに 5.68.5 う 9(2-5-032 の 猛ニ(o-836.0-6989 o.699 3 9 0-2120 ( u 二 S.68S- 5.032 ttrigtう こ3.07998 ~13.080 th , 95% confidence tale