Question

In: Statistics and Probability

Use the crop yields (in pounds per acre) from the samples of regular seed & kiln-dried...

  1. Use the crop yields (in pounds per acre) from the samples of regular seed & kiln-dried seed listed in the table below to answer the following questions.

Regular

1903

1935

1910

2496

2108

1961

2060

1444

1612

1316

1511

Kiln Dried

2009

1915

2011

2463

2180

1925

2122

1482

1542

1443

1535

  1. Use an equation editor to formulate the null and alternative hypothesis to test the claim “Kiln dried seed is substantially different than regular seed.”

b. Construct a randomization distribution in StatKey to test the above hypothesis. Take at least 1000 samples. Take a screenshot of your StatKey page, and paste it below. (Your graph will differ from other students.) Statkey is a website which is free to use for graphing statistics

c. Find and interpret the p-value in regards to the hypothesis and claim.

Solutions

Expert Solution

(a) The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

(b) The statkey output is:

(c) t = -218.57/145.963 = -1.50

The p-value is 0.1499.

Since the p-value (0.1499) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that Kiln dried seed is substantially different than regular seed.


Related Solutions

Crop yields per acre depend on many variables, but two obvious ones are fertilizer and weed...
Crop yields per acre depend on many variables, but two obvious ones are fertilizer and weed control. In an effort to test the effects of various levels of fertilizer and of herbicide, researchers selected six plots of land and subdivided each into eight pieces. Each of the eight pieces of each plot was treated with one of the eight combinations of fertilizer (none, light, moderate, heavy) and herbicide (none, some). The per acre yields of each piece of land are...
Crop yields per acre depend on many variables, but two obvious ones are fertilizer and weed...
Crop yields per acre depend on many variables, but two obvious ones are fertilizer and weed control. In an effort to test the effects of various levels of fertilizer and of herbicide, researchers selected six plots of land and subdivided each into eight pieces. Each of the eight pieces of each plot was treated with one of the eight combinations of fertilizer (none, light, moderate, heavy) and herbicide (none, some). The per acre yields of each piece of land are...
William Gosset (aka Student) did an experiment in which regular and kiln-dried seeds were planted in...
William Gosset (aka Student) did an experiment in which regular and kiln-dried seeds were planted in adjacent plots in 11 plots. The yield (lb/acre) for each plot was recorded at harvest. > regular 1903 1935 1910 2496 2108 1961 2060 1444 1612 1316 1511 > kiln-dried  2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535 Do the data suggest that one method of preparing the seeds is better than the other? (Use an α = 0.01.) Answer this question...
A farmer is going to divide her 60 acre farm between two crops. Seed for crop...
A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $20 per acre. Seed for crop B costs $40 per acre. The farmer can spend at most $2200 on seed. If crop B brings in a profit of $320 per acre, and crop A brings in a profit of $140 per acre, how many acres of each crop should the farmer plant to maximize her profit?
A farmer is going to divide her 30 acre farm between two crops. Seed for crop...
A farmer is going to divide her 30 acre farm between two crops. Seed for crop A costs $30 per acre. Seed for crop B costs $15 per acre. The farmer can spend at most $600 on seed. If crop B brings in a profit of $60 per acre, and crop A brings in a profit of $140 per acre, how many acres of each crop should the farmer plant to maximize her profit? ? acres of crop A ?acres...
The average production of peanuts in Virginia is 3000 pounds per acre. A new plant food...
The average production of peanuts in Virginia is 3000 pounds per acre. A new plant food has been developed and is tested on 59 individual plots of land. The mean yield with the new plant food is 3093 pounds of peanuts per acre, and the population standard deviation is 578 pounds. At a = 0.01, can you conclude that the average production has increased? I don't understand how to work this problem.
Are yields for organic farming different from conventional farming yields? Independent random samples from method A...
Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following information about yield of lima beans (in tons/acre). (Reference: Agricultural Statistics, United States Department of Agriculture.) Method A 1.16 1.45 1.17 1.54 1.91 1.26 1.20 1.95 1.64 1.44 1.81 Method B 1.15 2.17 2.10 1.78 1.90 2.06 1.14 2.08 1.41 2.03 1.30 1.42 Use a 1% level of significance to test the hypothesis that...
The following table gives the bushels of corn per acre, y resulting from the use of...
The following table gives the bushels of corn per acre, y resulting from the use of the various amounts of fertilizer in pounds per acre, x, produced on a farm in each of 10 years from 1971 to 1980.   Year n y x 1971 1 40 6 1972 2 44 10 1973 3 46 12 1974 4 48 14 1975 5 52 16 1976 6 58 18 1977 7 60 22 1978 8 68 24 1979 9 74 26 1980...
When Farmer Hoglund applies N pounds of fertilizer per acre, the marginal product of fertilizer is...
When Farmer Hoglund applies N pounds of fertilizer per acre, the marginal product of fertilizer is 1 -N/200 bushels of corn. If the price of corn is $4 per bushel and the price of fertilizer is $1.20 per pound, then how many pounds of fertilizer per acre should Farmer Hoglund use in order to maximize his profits?  
Use the data on lettuce yields in Exercise 2.2. Treatment (lb N/acre) Head of lecture/plot 0...
Use the data on lettuce yields in Exercise 2.2. Treatment (lb N/acre) Head of lecture/plot 0 104 114 90 140 50 134 130 144 174 100 146 142 152 156 150 147 160 160 163 200 131 148 154 163 Compute the analysis of variance for the dat Determine the best polynomial response function that describes the relationship between lettuce yield and nitrogen fertilizer at the .05 level of significance. Plot the observed means along with the estimated equation.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT