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2 answers:
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Answer:
The 26th term of an arithmetic sequence is:
Hence, option A is true.
Step-by-step explanation:
Given
- a₁ = -33
- d = 4
An arithmetic sequence has a constant difference 'd' and is defined by
substituting a₁ = -33 and d = 4 in the nth term of the sequence
Thus, the nth term of the sequence is:
now substituting n = 26 in the nth term to determine the 26th term of the sequence
Therefore, the 26th term of an arithmetic sequence is:
Hence, option A is true.
Answer:
CI = (98.11 , 98.49)
The value of 98.6°F suggests that this is significantly higher
Step-by-step explanation:
Data provided in the question:
sample size, n = 103
Mean temperature, μ = 98.3
°
Standard deviation, σ = 0.73
Degrees of freedom, df = n - 1 = 102
Now,
For Confidence level of 99%, and df = 102, the t-value = 2.62 [from the standard t table]
Therefore,
CI =
Thus,
Lower limit of CI =
or
Lower limit of CI =
or
Lower limit of CI = 98.11
and,
Upper limit of CI =
or
Upper limit of CI =
or
Upper limit of CI = 98.49
Hence,
CI = (98.11 , 98.49)
The value of 98.6°F suggests that this is significantly higher and the mean temperature could very possibly be 98.6°F