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3x+12=18, 3x-12=-18
3x=18-12, 3x=-18+12
3x=6, 3x=-6
X=2, x=-2
Answer:
Step-by-step explanation:
We want to determine a 98% confidence interval to estimate the true mean shear strength of anchor bolts.
Number of sample, n = 78
Mean, u = 4.25
Standard deviation, s = 1.3
For a confidence level of 98%, the corresponding z value is 2.33.
We will apply the formula
Confidence interval
= mean ± z × standard deviation/√n
It becomes
4.25 ± 2.33 × 1.3/√78
= 4.25 ± 2.33 × 0.147
= 4.25 ± 0.34
The lower end of the confidence interval is 4.25 - 0.34 = 3.91
The upper end of the confidence interval is 4.25 + 0.34 = 4.59
b) the confidence interval would still be valid because the number of samples is large(> 30)
The answer is 53. You just need to find the magnitude