An experimental diet to induce weight loss was followed for one week by a randomly selected group of 12 students with the following results. Student Loss in Pounds 1 2 3 4 5 6 7 8 9 10 11 12 2.5 2.9 0.4 1.7 0.0 1.5 5.5 3.5 3.9 3.5 1.1 2.9 (a) Find a point estimate for the average amount lost after one week on this diet. 2.55 x Is this an unbiased estimate of the population mean? Explain. Yes, this an unbiased estimate of the population mean, since E(X) = μ. Yes, this an unbiased estimate of the population mean, since E(X) + #. No, this is not an unbiased estimate of the population mean, since E(X)* μ. O No, this is not an unbiased estimate of the population mean, since E(X) = μ. No, this is not an unbiased estimate of the population mean, since the sample size is too small. (b) Find a point estimate for the variance of the amount lost on this diet. (Round your answer to four decimal places.) 2.3264 x Is this an unbiased estimate of the population variance? Explain. Yes, this an unbiased estimate of the population variance, since E(s2) = ². O Yes, this an unbiased estimate of the population variance, since E(s2) + 0². O No, this is not an unbiased estimate of the population variance, since E(s2) = ². O No, this is not an unbiased estimate of the population variance, since E(s2) + 0². O No, this is not an unbiased estimate of the population variance, since the sample size is too small. (c) Find a point estimate for the standard deviation of the amount lost on this diet. (Round your answer to three decimal places.) 1.525 x

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An experimental diet to induce weight loss was followed for one week by a randomly selected group of 12 students with the following results.
Loss in Pounds
Student
1
2
3
5
6
7
8
9
10
11
12
2.5
2.9
0.4
1.7
0.0
1.5
5.5
3.5
3.9
3.5
1.1
2.9
(a) Find a point estimate for the average amount lost after one week on this diet.
2.55
]x
Is this an unbiased estimate of the population mean? Explain.
Yes, this an unbiased estimate of the population mean, since E(X) = µ.
Yes, this an unbiased estimate of the population mean, since E(X) + μ.
O No, this is not an unbiased estimate of the population mean, since E(X) * μ.
O No, this is not an unbiased estimate of the population mean, since E(X) = μ.
O No, this is not an unbiased estimate of the population mean, since the sample size is too small.
(b) Find a point estimate for the variance of the amount lost on this diet. (Round your answer to four decimal places.)
2.3264 x
Is this an unbiased estimate of the population variance? Explain.
Yes, this an unbiased estimate of the population variance, since E(s²) = ².
O Yes, this an unbiased estimate of the population variance, since E(s²) + o².
O No, this is not an unbiased estimate of the population variance, since E(s²) = 6².
O No, this is not an unbiased estimate of the population variance, since E(s²) + o².
O No, this is not an unbiased estimate of the population variance, since the sample size is too small.
(c) Find a point estimate for the standard deviation of the amount lost on this diet. (Round your answer to three decimal places.)
1.525
X
Transcribed Image Text:An experimental diet to induce weight loss was followed for one week by a randomly selected group of 12 students with the following results. Loss in Pounds Student 1 2 3 5 6 7 8 9 10 11 12 2.5 2.9 0.4 1.7 0.0 1.5 5.5 3.5 3.9 3.5 1.1 2.9 (a) Find a point estimate for the average amount lost after one week on this diet. 2.55 ]x Is this an unbiased estimate of the population mean? Explain. Yes, this an unbiased estimate of the population mean, since E(X) = µ. Yes, this an unbiased estimate of the population mean, since E(X) + μ. O No, this is not an unbiased estimate of the population mean, since E(X) * μ. O No, this is not an unbiased estimate of the population mean, since E(X) = μ. O No, this is not an unbiased estimate of the population mean, since the sample size is too small. (b) Find a point estimate for the variance of the amount lost on this diet. (Round your answer to four decimal places.) 2.3264 x Is this an unbiased estimate of the population variance? Explain. Yes, this an unbiased estimate of the population variance, since E(s²) = ². O Yes, this an unbiased estimate of the population variance, since E(s²) + o². O No, this is not an unbiased estimate of the population variance, since E(s²) = 6². O No, this is not an unbiased estimate of the population variance, since E(s²) + o². O No, this is not an unbiased estimate of the population variance, since the sample size is too small. (c) Find a point estimate for the standard deviation of the amount lost on this diet. (Round your answer to three decimal places.) 1.525 X
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