Lock, Statistics: Unlocking the Power of Data, 2e Help I System Announcements As

Question

Lock, Statistics: Unlocking the Power of Data, 2e Help I System Announcements Assignment Gradebook ORION Downloadable eTextbook ent PRINTER VERSION BACK Chapter 6, Section 2-CI, Exercise 096 Dim Light at Night Makes Fat Mice A study was conducted in which mice that had a dim light on at night (rather than complete darkness) ate most of their calories when they should have been resting. These mice gained a significant amount of darkness. The time of eating seemed to have a significant effect. There were 10 mice in the group with dim light at night and they gained an average of 7.9 g with a standard deviation of 3.0. We see in Figure 1 that the data are not heavily skewed and do not have extreme outliers. weight, despite eating the same number of calories as mice kept in total O 00 2 4 6 8 BM Gain Figure 1 Body mass gain (in grams) for mice with a night light 10 12 14 Use the t-distribution to find a 99% confidence interval for weight gain. Round your answers to two decimal places. The 99% confidence interval is Click if you would like to Show Work for this question: to l Open Show Work LINK TO TEXT 26

Explanation / Answer

The formula for estimation is:

= M ± Z(sM)

where:

M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = (s2/n)

Calculation

M = 7.9
t = 2.58
sM = (32/10) = 0.95

= M ± Z(sM)
= 7.9 ± 2.58*0.95
= 7.9 ± 2.444

Result

M = 7.9, 99% CI [5.456, 10.344].

You can be 99% confident that the population mean () falls between 5.46 and 10.34.

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