Describe three types of prezygotic isolating mechanisms and show how each might contribute to speciation.

A company has three manufacturing plants, and you want to determine whether there is a difference in the average age of workers at the three locations. The following data are the ages of five randomly selected workers at each plant. Perform a test to determine whether there is a significant difference in the mean ages of the workers at the three plants. Use α = 0.01 . Interpret on your findings.
Plant A Plant B Plant C
29 31 27
27 32 26
30 30 27
27 33 27
28 29 28

A company has three manufacturing plants, and you want to determine whether there is a difference in the average age of workers at the three locations. The following data are the ages of five randomly selected workers at each plant. Perform a test to determine whether there is a significant difference in the mean ages of the workers at the three plants. Use α = 0.01. Interpret on your findings.

Make a forecast for 2016 using a method of your choice (including a judgment forecast). Justify your method. (Round your answer to the nearest whole number.)

The two year moving average forecast for 2016 is _______.

4. The table below presents the historical P/E ratio for Apple Inc. The P/E ratio increased from 2002 to 2003, and then decreased for a few years. a. Please explain how the increase and decrease of P/E ratio reflect investor view about Apple. (2 points) b. The current P/E ratio of Apple is 33.7. If we use the past 10 years average P/E ratio (from 2010-2019) as a benchmark, is Apple currently underpriced, fairly priced or overpriced? Please explain. (3 points)

Year P/E ratio

2002 80.6

2003 109.1

2004 52.4

2005 32.5

2006 32.6

2007 38.0

2008 20.7

2009 20.1

2010 18.4

2011 13.6

2012 14.9

2013 11.9

2014 15.5

2015 11.9

2016 13.5

2017 16.6

2018 18.8

2019 18.2

Sales of roof material, by quarter, since 2005 for Carolina Home Construction Inc. are shown below (in $ thousands).

1. Determine the typical seasonal patterns for sales using the ratio-to-moving-average method. (PLEASE DONOT USE EXCEL. PLEASE SHOW ALL MANUAL WORKINGS HOW DID YOU GET ANSWER IN THE TABLE)

2. Deseasonalize the data and determine the trend equation. PLEASE DONOT USE EXCEL. PLEASE SHOW ALL MANUAL WORKINGS HOW DID YOU GET ANSWER IN THE TABLE)

3. Project the sales for 2012, and then seasonally adjust each quarter.

When performing calculations in the following problems, use the numbers in the table as-is. I.e., do NOT convert 8.5985 to 8.5985% (or 0.085985). Just use plain 8.5985.

1. What is the portfolio's M2 measure?

2. What is the Sharpe Ratio of the portfolio using the following equation: Sharpe Ratio = Rp − Rf / (σp)

1. The annual precipitation measurements (Pi in cm) for M city, over a 20year period are shown in the following table. Determine the mean, standard deviation, and skew coefficient for this series.

2. Annual precipitation measurements (Pi in cm) for M City, were given in Problem 1. Determine the magnitude of the 10-year precipitation depth if the data fit:

1. the normal distribution.
2. the Gumbel distribution.

How many times was the P10 (normal) exceeded in the 20-year annual precipitation record given in Problem 1 ?

Please clarify each step of the solution

1. The annual precipitation measurements (Pi in cm) for M city, over a 20year period are shown in the following table. Determine the mean, standard deviation, and skew coefficient for this series.

2. Annual precipitation measurements (Pi in cm) for M City, were given in Problem 1. Determine the magnitude of the 10-year precipitation depth if the data fit:

1. the normal distribution.
2. the Gumbel distribution.

How many times was the P10 (normal) exceeded in the 20-year annual precipitation record given in Problem 1 ?

Please clarify each step of the solution

1. The annual precipitation measurements (Pi in cm) for M city, over a 20year period are shown in the following table. Determine the mean, standard deviation, and skew coefficient for this series.

2. Annual precipitation measurements (Pi in cm) for M City, were given in Problem 1. Determine the magnitude of the 10-year precipitation depth if the data fit:

1. the normal distribution.
2. the Gumbel distribution.

How many times was the P10 (normal) exceeded in the 20-year annual precipitation record given in Problem 1 ?

Please clarify each step of the solution