Zoe has 16.8 feet of fabric to make masks. Each mask takes 1.2 feet of fabric to make. How many masks can she make?
1 answer:
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Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean, = 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.
Answer:
So the answer for this case would be n=107 rounded up to the nearest integer
Step-by-step explanation:
Information given
the sample mean
the sample deviation
the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can use as estimator of the real population deviation the sample deviation for this case / The critical value for 99% of confidence interval is given by
, replacing into formula (b) we got:
So the answer for this case would be n=107 rounded up to the nearest integer