s with an elapsed Data on the rate at which a volatile liquid will spread across

Question

s with an elapsed Data on the rate at which a volatile liquid will spread across a surface are in the table. Complete parts a through c. a Find a 95% confidence interval for the mean mass of all sp time of 5 minutes. Interpret the result What is the confidence interval? Mass (Pounds) 6.69 6.07 5.54 4.91 4.38 3.89 3.65 3.16 2.75 2.52 2.13 1.48 1.01 0.16 0.00 Time (minutes) 4.082. 5.336) ound to three decimal places as needed.) Interpret the result. Choose the correct answer below on we are 95% confident that the interval will contain the mean mass of the O B. We are 95% confident that the interval will not contain the mean mass of ° C. We are 95% confident that the interval will contain the mean mass of the 0 D. We are 95% confident that the interval will contain 5 minutes spill before 5 minutes has passed the spill at 5 minutes spill after 5 minutes 18 20 25 45

Explanation / Answer

Sol:

It stelling that 95% confidence interval for the mean no of all spills with an elapsed tiime of 5 minutes

SO the data you have to take is above 5 min.

95% confidence interval for mean is

sample mean-tcrit(sample sd/sqrt(n),sample mean+tcrit(sample sd/sqrt(n)

To find t crit

degrees of freedom=n-1=12-1=11

alpah=1-095=0.05

alpha/2=0.05/2=0.025

t crit=2.201

2.503-2.201 (1.60166)/sqrt(12),2.503+2.201 (1.60166)/sqrt(12)

1.485,3.521

confidence interval is

(1.485,3.521)

Intrepret:

We are 95% confident that the interval will contain the mean mass of the spill after 5 minutes

ANSWER C

time mas s(pounds) 6 4.91 8 4.38 10 3.89 12 3.65 14 3.16 16 2.75 18 2.52 20 2.13 25 1.48 30 1.01 45 0.16 60 0

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