Translate this sentence into an inequality: Five subtracted from c is less than −17
2 answers:
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Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
Assuming that conditions have been met for the interval, we use the formula where
represents the sample mean,
represents the critical value,
represents the sample standard deviation, and
is the sample size.
The critical value of for an 80% confidence level with degrees of freedom
is equivalent to
Thus, we can compute the confidence interval:
Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.
<u>Part B</u>
The margin of error is
Answer:
As probability of that happening is very small; Yes, 33.6 is less than 35.6 grams because it provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.
Step-by-step explanation:
For a normal distribution Z-score
Given that :
the mean () = 35.6
standard deviation () = 5.2
sample size (n) = 35
standard error:
The probability that a random sample of 35 bags has a mean weight of 33.6 grams or less is :
P(X<33.6) = P(Z < - 2.28)
= 0.0114
Conclusion:
As probability of the happening is very small; Yes, 33.6 is less than 35.6 grams because it provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.