Question/screenshot Below
1 answer:
You might be interested in
a (i) The number of standard size is 288 eggs
a (ii) The number of medium size is 1,476 eggs
a (iii) The number of large size is 36 eggs
b (i) The expected profit made from selling the standard size is Gh¢43.2
b (ii) The expected profit made from selling the medium size is Gh¢516.6
b (iii) The expected profit made from selling the large size is Gh¢16.2
The given parameters:
the mean of the distribution, m = 0.06 kg
standard deviation (std) of the distribution, d = 0.009 kg
number of the samples, n = 1800 eggs
(i) Find the position of "less than 0.052 kg (standard size)":
- 1 standard deviation below the mean = m - d
- m - d = 0.06 kg - 0.009 kg = 0.051 kg
(<em>the </em><em>standard size</em><em> is 1 standard deviation below the mean</em>)
- less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samples
- Number of standard size = 0.16 x 1800 = 288 eggs
(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":
- 0.052 kg is 1 standard deviation below the mean
- 2 standard deviation above the mean = m + 2d
- m + 2d = 0.06 + 2(0.009) = 0.078 kg
(<em>the </em><em>medium size</em><em> is between 1 std below the mean and 2 std above the mean</em>)
- Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%
- Number of medium size = 0.82 x 1800 = 1,476 eggs
(iii) Find the position of "Greater than 0.075 kg (large size)":
- 0.078 kg is 2 standard deviation below the mean
- greater than 2 std above the mean in a normal distribution = 2 % of the data samples
- Number of large size = 0.02 x 1800 = 36 eggs
<u>Check:</u> <em>288 eggs + 1476 eggs + 36 eggs = 1,800 eggs</em>
(b) the cost of production of an egg = Gh¢0.45
the selling price of the standard size = Gh¢0.60
the selling price of the medium size = Gh¢0.80
the selling price of the large size = Gh¢0.95
(i) The expected profit made from selling the standard size:
Profit = total revenue - cost of production
Profit = 288(0.6) - 288(0.45) = Gh¢43.2
(ii) The expected profit made from selling the medium size:
Profit = total revenue - cost of production
Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6
(iii) The expected profit made from selling the large size:
Profit = total revenue - cost of production
Profit = 36(0.9) - 36(0.45) = Gh¢16.2
Learn more here: brainly.com/question/22520030
Answer:
The correct null hypothesis in words is:
D. The long-run proportion of private colleges in the US, that have tenure-track faculty is 0.5.
Step-by-step explanation:
He wants to test the claim that the proportion of private schools that have avenues for professors to apply for tenure is significantly higher than 0.5, as happen with the public schools.
Then, the alternative hypothesis is:
The null hypothesis represents the opposite claim, where the proportion is not significantly higher than 0.5. Then, the null hypothesis is expressed as:
The correct null hypothesis in words is:
D. The long-run proportion of private colleges in the US, that have tenure-track faculty is 0.5.