Does a bigger confidence level have a smaller or bigger confidence interval?

Smaller!  I GOT YOU! I think you mean "there is a smaller chance of obtaining an observation outside that interval". Unfortunately, a Confidence Interval may not mean what it appears to mean, due to technical, statistical issues, but in general the narrower the interval (at a given confidence level) the less uncertainty there is about the results. There are many threads on this site discussing what a Confidence Interval means (as opposed to, say, a Credible Interval). We're not even getting into Predictive Intervals

Step-by-step explanation: i hope this helps let me know if it dues! :)

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step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116