Q. You are carpeting a boardroom which measures 16 feet by 14.5 feet with a carpet that costs $18.50 per square foot of finished
2 answers:
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Answer:
Yes. There is enough evidence to support the claim that the remaining toothpaste is significantly is less than 10% of the advertised net content.
Step-by-step explanation:
The sample of the remaining toothpaste is: [.53, .65, .46, .50, .37].
This sample has a size n=5, a mean M=0.502 and standard deviation s=0.102.
The 10% of the advertised content is:
Hypothesis test for the population mean:
The claim is that the remaining toothpaste is significantly is less than 10% of the advertised net content.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The estimated standard error of the mean is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size are:
This test is a left-tailed test, with 4 degrees of freedom and t=-2.148, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.049) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the remaining toothpaste is significantly is less than 10% of the advertised net content.
Answer:
See explanation
Step-by-step explanation:
<u>Part A:</u> If Cole eats 3 bananas each day. These 3 bananas contain mg of iron.
Let x be the number of vitamins Cole takes. Each whole vitamin contains 4 mg of iron, then x vitamins contain 4x mg of iron.
The total amount of iron Cole takes is
Cole needs to include at least 11 mg and at most 22 mg of iron in his diet each day, so
Solve it:
The smallest number of vitamins - 3, the greatest number of vitamins - 5.
<u>Part B: </u>Cole continues to eat 3 bananas each day. He pays for bananas per week.
If Cole spends a total of $20 on bananas and vitamins this week, then he spent $20 - $14 = $6 on vitamins.
Let x be the number of vitamins Cole takes this week.
First 10 vitamins are free, then x - 10 vitamins each cost $0.50 (he pays an additional dollar for every 2 additional vitamins he purchases) and they cost
This amount of money is exactly $6, so
This means Cole takes 3 vitamins per day (the whole number) and he is able to meet his iron requirement every day this week, based on answer in Part A.