Hybrid bike tires sold at antler sports are prefilled to an...

Hybrid bike tires sold at Antler Sports are prefilled to an average air pressure of 34.1 psi with a standard deviation of 0.2 psi. If the air pressures are not normally distributed, determine a psi interval for at least 96% of the tire pressures. Calculate your answer using this Spreadsheet template.

Transcript

00:01 All right, so we're looking at intervals today and the first one we're talking about a tire pressure and our cars owners manual states that the tire pressure should be between 32 psi 32 pounds per square inch plus minus 3 psi and what's the range of this operating tire pressure? well, it's going to be 32 minus 3 up to 32 plus 3 so this will be go go down to 29 up to 35 so this should be our this is our safe operating range here 29 psi to 35 psi that's the range the error term is this piece here this plus 3 this is our error term sometimes we call this the the margin of error plus minus but that's our error term and the ramifications for running our tires at 38 well, we're told that 30 if you think about this isn't on a number line about this a little bit.

01:19 So here's 29 here's 35 right in the center.

01:24 Is that 32? well, this is our safe operating range.

01:28 This is our safe if we go above or below this range what the the manufacturers is gently telling us is that if you operate above 35 at for example 38 you're twice the safe error this twice this error term away from our opera our ideal life 32.

01:50 So essentially bad things can happen here bad things can happen to your tire you could get things happen can happen to your tire if we run them above our 35 or especially specifically 38 so we run risk of damaging our tires if the manufacturer is telling so it's in it without being a without getting into the details of the actual tires but if you run too high or too low you can damage the tread on their tire or would wear unevenly so you'd have to go through your tire faster so that's where it's saying.

02:45 Hey, this 29 to 35 is your ideal range if you go too far above it or below it the manufacturer of the tire is telling us we can you can damage your tire and these ranges bad things can happen if you go above it or below it...

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