What is the opposite of the opposite of -1.4
2 answers:
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29
Note that consecutive numbers have a difference of 1 between them.
let n be the smallest integer then the three integers can be expressed as
n, n + 1 , n + 2
the sum is then
n + n + 1 + n + 2 = 90
3n + 3 = 90
subtract 3 from both sides of the equation
3n = 90 - 3 = 87
divide both sides by 3
n = = 29
the three integers are 29, 30, 31 → the smallest is 29
Answer:
-185.75297
Step-by-step explanation:
Solution:-
- We are testing whether the population mean u is equal to 100 as per claim.
Null hypothesis: u = 100
- Where a alternate hypothesis suggest that the population mean ( u ) may be lower:
Alternate hypothesis: u < 100
- We are given sample data parameters which are assumed to be normally distributed:
sample mean, x_bar = 9
sample standard deviation, s = 2.4
- A sample of n = 24 observation was taken from a population of ( N ) with unknown population standard deviation ( σ ).
- The conditions of standard normal distribution are no longer applicable i.e:
n = 24 < 30
unknown population standard deviation ( σ )
- We will model the sample using t-distribution with ( n - 1 ) = 23 degrees of freedom.
- The t-statistics of the sample mean x_bar can be determined from standard t-distribution:
- The t-test value for mean ( u ) is -185.75297