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If a sample size of 16 yields an average of 12 and standard deviation of 3, estimate the 95% confidence interval for the population (assume a normal distribution).
Suggested Answer: A
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29 comments · newest first
CH
Cheryll
10 months ago
Totally agree, that sounds right!
AD
Adrianna
11 months ago
Wait, how do you even calculate that?
MA
Marion
11 months ago
I think that's a bit off, isn't it?
MA
Malinda
11 months ago
95% CI should be around 9.5 to 14.5.
LA
Larae
11 months ago
The sample size is 16, mean is 12, SD is 3.
JO
Johnathon
12 months ago
I feel like we did a problem like this in class, and I think the confidence interval is around the mean plus and minus something, but I can't quite remember the details.
DE
Denise
12 months ago
The average is 12, and the standard deviation is 3, but I can't recall the exact steps to find the critical value for 95%.
ES
Estrella
12 months ago
I think we practiced a similar question where we calculated the margin of error. I hope I can remember how to apply that here.
EL
Elena
1 year ago
I remember we used the formula for the confidence interval, but I'm not sure if I should use the t-distribution or z-distribution since the sample size is small.
NA
Natalya
1 year ago
Wait, what's the t-value I'm supposed to use? I can't remember if it's the t-statistic or the z-score for a 95% CI with a normal distribution. This is tripping me up a bit.
HA
Haley
1 year ago
No problem, I've got this. I'll just plug the values into the formula: 95% CI = sample mean +/- (t-value * standard error). Easy peasy!
EL
Eloisa
1 year ago
Hmm, I'm a bit unsure about this one. I know we need to assume a normal distribution, but I'm not sure how to actually calculate the 95% CI from the given information.
CH
Cherelle
1 year ago
Okay, this looks like a standard confidence interval question. I'll need to use the sample size, mean, and standard deviation to calculate the 95% CI.
EL
Elke
1 year ago
Alright, I think I've got the steps down. First, calculate the standard error using the standard deviation and sample size. Then look up the t-value for 95% confidence with 15 degrees of freedom. Plug it all into the formula and boom, 95% CI.
KI
Kina
1 year ago
Hmm, I'm a little unsure between B and D. Managed care does focus on disability management, but I'm not sure if that's considered a "common characteristic" across all these plans. I'll have to think this through carefully.
KR
Kristofer
1 year ago
The third option about mitigating risks seems like the most relevant one. DLM is probably about understanding the risks to the data and planning how to protect it throughout its lifecycle.
MI
Ming
1 year ago
Okay, I've got this. APW extinguishers use water and air pressure to put out fires. They're not meant for certain types of fires, like electrical or grease. I'm pretty confident I can identify the true statements here.
CH
Charlesetta
1 year ago
Ah, I see what they're getting at now. The metric is focused on revenues and market share, so it's probably not going to be used to evaluate something like "Optimization of business process costs" or "Customer-oriented service culture." It's got to be the one about the portfolio of services.
MA
Marge
2 years ago
After calculating, we get the confidence interval as [10.35, 13.65].
LI
Lino
2 years ago
To estimate the 95% confidence interval, we use Z = 1.96 for 95% confidence level.
LA
Lauran
2 years ago
Since the sample size is 16 and standard deviation is 3, we can calculate the standard error.
WY
Wynell
2 years ago
The formula for confidence interval is sample mean ± (Z * standard error).
JA
Janessa
2 years ago
I agree, let's use the formula for estimating the confidence interval.
BR
Britt
2 years ago
I think we need to calculate the confidence interval for this question.
MI
Mitsue
2 years ago
Therefore, the 95% confidence interval is 12 ± 1.5975, giving us a range of 10.4025 to 13.5975.
LE
Leila
2 years ago
And the margin of error would be 2.13 * 3 / sqrt(16), which is 1.5975.
FR
Francoise
2 years ago
So, for a 95% confidence interval, the critical value is 2.13.
ST
Stephen
2 years ago
I agree. The margin of error is equal to the critical value times the standard deviation divided by the square root of the sample size.
FR
Francoise
2 years ago
I think we need to calculate the margin of error first.