A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.
1 answer:
Answer:
Step-by-step explanation:
given that
A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.
Each box of cereal is supposed to contain 13 ounces of cereal.
A random sample of 31 boxes is tested.
The average weight is 12.58 ounces and the standard deviation is 0.25 ounces.
Sample mean = 12.58
Sample std deviation = 0.25
Sample size = 31
Sample std error =
confidence interval can be calculated using t critical value because population sd is not known.
df = 30
t critical for two tailed = 1.697
Margin of error =
conidence interval =
Since this does not contain 13 oz. we reject the claim that each box contains exactly 13 oz.
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Solution:
we are given that
A six sided number cube has faces with the numbers 1 through 6 marked on them.
we have been asked to find the probability that a number less than 2 will occur on one toss of the number cube.
Since a number less than 2 is only one and that is "1" and total number of possible outcome is 6.
and as we know that probability is given using the formula
Substitute the values we get
Hence the required probability is 1/6.
Answer:
= 403
Step-by-step explanation:
the sum to n terms of an arithmetic series is
=
(a + l) ← a is the first term and l the last term
here a = - 5 and l = 67 , then
=
(- 5 + 67) = 6.5 × 62 = 403