A physical education teacher wanted to test whether her county’s students are falling below the national proportion. It is known that the national proportion for high school juniors passing the aerobic portion of the test (running a mile in less than 10 minutes) is 0.70. Using  = 0.05, is there sufficient evidence to conclude that less than 70% of students run one mile in less than 10 minutes?

Step-by-step explanation:

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step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

step-by-step explanation: