Question
In: Statistics and Probability
SeedLanc is a seed company leader in maize seeds. The current line of maize seeds (traditional)...
SeedLanc is a seed company leader in maize seeds. The current line of maize seeds (traditional) yields 150 kilogrammes per hectare. The company believe they have produced an improved line of maize seeds (called ‘gold line’) and would like to test the yield per hectare under standard farming conditions on farms selected at random in Lancashire.
a. What should be the (smallest) sample size to have an accurate estimate for the gold line yield? Specifically, the company would like to have a margin of error for the 95% confidence interval of at most 12.5 kilograms per hectare, assuming that the standard deviation for maize yields is known to be 25.51. Justify your answer. What assumptions do you need to make for your answers to be accurate? [25 Marks]
b. SeedLanc decided to test the gold line in 30 farms. The yields had a sample mean of 186 kilogrammes per hectare and a sample standard deviation of 20.1. If the company considers a line to be an improvement over another only for productivity gains above 20%, propose and carry out a test to investigate whether the gold line is in fact an improvement over the traditional one. Use a 5% significance level. State your conclusion clearly in layman’s (i.e. non-statistical) terms. What assumptions have been necessary to be accurate? [30 Marks]
c. Obtain the power of the statistical test used in part (b) if the true mean for gold line is 190 kilogrammes per hectare. [30 Marks]
Solutions
orchestra answered 2 years agoRelated Solutions
SeedLanc is a seed company leader in maize seeds. The current line of maize seeds (traditional)...
SeedLanc is a seed company leader in maize seeds. The current
line of maize seeds (traditional) yields 150 kilogrammes per
hectare. The company believe they have produced an improved line of
maize seeds (called ‘gold line’) and would like to test the yield
per hectare under standard farming conditions on farms selected at
random in Lancashire.
a. What should be the (smallest) sample size to have an accurate
estimate for the gold line yield? Specifically, the company would
like to...
The imbibition in seeds takes place during seed germination because of The imbibition in seeds takes...
The imbibition in seeds takes place during seed germination
because of
The imbibition in seeds takes place during seed germination
because of
the loss of water due to the high water potential of the
seed.
the loss of water due to the low water potential of the dry
seed.
the uptake of water due to the low water potential of the dry
seed.
the uptake of water due to the high water potential of the dry
seed.
The Caraway Seed Company grows heirloom tomatoes and sells their seeds. The heirloom tomato plants are...
The Caraway Seed Company grows heirloom tomatoes and sells their
seeds. The heirloom tomato plants are preferred by many growers for
their superior flavor. At the end of the most recent year the firm
had current assets of $50,400, net fixed assets of $248,500,
current liabilities of $30,800, and long-term debt of
$99,100.
a. Calculate Caraway's stockholders' equity.
b. What is the firm's net working capital?
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A certain variety of flower seed is sold in packets containing 1000 seeds. It is claimed...
A certain variety of flower seed is sold in packets
containing 1000 seeds. It is claimed on the packet that 40% will
bloom white and 60% will not bloom red. This may be assumed
accurate. 200 seeds are planted for experimental purposes.
Find
the probability that half of our experimental plants will bloom
white.
Find the probability that between 60 and 90
inclusively will bloom white
Find the probability that exactly 125 will bloom
red.
Find the probability that more...
A certain type of tomato seed germinates 90% of the time. A gardener planted 25 seeds....
A certain type of tomato seed germinates 90% of the time. A
gardener planted 25 seeds. a What is the probability that exactly
20 seeds germinate? b What is the probability that 20 or more seeds
germinate? c What is the probability that 24 or fewer seeds
germinate? d What is the expected number of seeds that
germinate?
A biologist estimates that the chance of germination for a type of bean seed is 0.8. A student was given 10 seeds.
A biologist estimates that the chance of germination for a type of bean seed is 0.8. A student was given 10 seeds. Let Xbe the number of seeds germinated from 10 seeds.
a) Assuming that the germination of seeds is independent, explain why the distribution of Xis binomial.
b) What are the values of nand p?
c) What is the mean and standard deviation of the number of seeds that germinate?
d) What is the probability that all seeds...
A garden seed wholesaler wishes to test the claim that tomato seeds germinate faster when each...
A garden seed wholesaler wishes to test the claim that tomato
seeds germinate faster when each individual seed is "pelletized"
within a coating of corn starch. The table below shows the
germination times, in days, of six pelletized seeds. The table also
shows the germination times in days of six un-coated seeds (the
controls).
Pelletized: 8 6 7 8 10 7
Control: 11 8 9 10 7 11
Can you conclude that the mean germination time for pelletized
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Company A is considering replacing its current production line. The current line has fixed cost 350,000...
Company A is considering replacing its current production line.
The current line has fixed cost 350,000 per year, has variable cost
10 per unit and sells for 14 per unit.
The new production line will have fixed cost of 500,000,
variable cost of 9.6 per unit and sells for 16 per unit.
1. Determine the breakeven quantities for both lines.
2. Plot the two profit relations.
3. Determine the breakeven quantity between the two
alternatives.
Must be completed in Microsoft...
Mr. Carter is the manager of Simmons Farm and Seed Company, a wholesaler of fertilizer, seed,...
Mr. Carter is the manager of Simmons Farm and Seed Company, a
wholesaler of fertilizer, seed, and other farm supplies. The
company has been successful in recent years primarily because of
great customer service— flexible credit terms, customized orders
(quantities, seed mix, etc.), and on-time delivery, among others.
Global Agricultural Products, Inc., Simmons' parent corporation,
has informed Mr. Carter that his budgeted net income for the coming
year will be $120,000. The budget was based on data for the prior...
Mr. Carter is the manager of Simmons Farm and Seed Company, a wholesaler of fertilizer, seed,...
Mr. Carter is the manager of Simmons Farm and Seed Company, a
wholesaler of fertilizer, seed, and other farm supplies. The
company has been successful in recent years primarily because of
great customer service— flexible credit terms, customized orders
(quantities, seed mix, etc.), and on-time delivery, among others.
Global Agricultural Products, Inc., Simmons' parent corporation,
has informed Mr. Carter that his budgeted net income for the coming
year will be $120,000. The budget was based on data for the prior...
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