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Ho: μ = 750
H1: μ < 750
What is the conclusion of the test at the σ= 0.10 level? Explain your answer.
Per unit of fish Per unit of spinach Minimum requirement
Units of vitamins 5 1 13
Units of protein 10 3 16
Unit cost Rs. 50 Rs. 20
Find a diet (i.e. units of vitamins and proteins) to meet the minimum nutritional requirement at minimum cost.
He finds out that probability of Batman finding some criminal is 609/625 in 20 days.
But they don’t have that much time. Bane has set a deadline of 5 days to blow off the city.
What are the chances that Batman will catch Bane in 5 days and save Gotham city?
e) A small plant with moderate demand would yield 4,500,000 annually in profits because of lost sales would be somewhat lower
f) A small plant with low demand yeld 5,500,000 annually because the plant size and market size would be matched fairly optimally.
What should ABC industries Ltd management do?
The company's best estimate of the distribution of sales over the 10 years periods is:
high demand with probability = 0.5
Moderate demand with probability = 0.3
Low demand with probability = 0.2
Cost - volume profit analysis done by ABC industries Ltd management indicates these conditional outcomes under the various combinations of plant size and market size.
a) A large plant with high demand would yield 10,000,000 annually in profits.
b) A large plant with moderate demand would yield 6,000,000 annaully in profits
c) A large plant with low demand would lose 2,000,000 annaully because of productions inefficiencies.
d) A small plant with high demand would yield only 2,500,000 annually in profits considering the cost of
a) Ho: mu = 50 mL, Ha: mu "not equal to" 50 mL, sample mean = 47.3 mL, sample standard deviation= 5, n=20
b) Ho: mu "less than or equal to" 8.9 m^3, Ha: mu > 8.9 m^3, sample mean = 10 m^3, s = 3.5, n = 75
c) Ho: mu "greater than or equal to" 20^o C, Ha: mu < 20^o C , sample mean= 17.1^o C, s= 4.8^o C, n= 12
d) Ho: mu = 380 s, Ha: mu "not equal to" 380 s, sample mean = 400 s, s = 75, n = 40
e) Ho: mu = 48 units, Ha: mu "not equal to" 48 units, sample mean = 50 units, s = 9.5, n = 41
a) The null and alternative hypotheses, Ho and Ha
b) The critical value (confidence coefficient)
c) The test statistic (including sample mean and standard deviation)
d) The p-value
e) A decision (do or do not accept the null hypothesis)
f) A conclusion (that refers back to the question that was posed)
From a random sample of 15 farmer’s markets in the Montreal?area you determine that the average price for pumpkins is $4.52 per kg with a standard deviation of $2.20 per kg.
d) Construct a 98% confidence interval for the average price of pumpkins in the Montreal-area if the statistics remained unchanged despite the fact that 20 more pumpkins were added to the original sample and determine if it differs significantly from that of the rest of the country.
e) Construct a 95% confidence interval for the average price of pumpkins in the Montreal-area if a new sample of 15 pumpkins yields a sample mean of $4.52 per kg. and a standard deviation of $2.50 per kg. Determine if it differs significantly from that of the rest of the country.
a) If the organizer sets the opening of the exhibition at 10:00 a.m., at what time would they expect 90% of the visitors to have arrived?
b) If the organizer sets the opening of the exhibition at 9:00 a.m., at what time after the doors open will only 15% of the visitors have arrived?
c) At what time should the organizer open the exhibition if they would like 60% of the visitors to have arrived by noon (12:00pm) so that they can award the first door prize?
a) Calculate the z-score if there are 60 chips in a bag.
b) What is the probability that less than 60 potato chips will be in a bag?
c) Determine the probability that more than 80 potato chips will be in a bag.
d) Find the probability that there will be between 55 and 80 potato chips in a bag.