The weights (in kg\text{kg}) of 88 randomly selected sealed sugar packs were recorded as follows:1.0,1.2,0.9,1.1,1.0,0.8,1.3,1.11.0,1.2,0.9,1.1,1.0,0.8,1.3,1.1Assuming the weights follow a normal distribution, construct a 99%99\% confidence interval for the population standard deviation (σσ). Also, interpret the results.

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Problem 1Multiple Choice

The weights (in $kg$ ) of $8$ randomly selected sealed sugar packs were recorded as follows:
$1.0 comma 1.2 comma 0.9 comma 1.1 comma 1.0 comma 0.8 comma 1.3 comma 1.1$
Assuming the weights follow a normal distribution, construct a $99 percent sign$ confidence interval for the population standard deviation ( $σ$ ). Also, interpret the results.

$open paren 0.09 comma 0.43 close paren$

We are $99 percent sign$ confident that the true standard deviation in sealed sugar pack weights is between $0.09$ and $0.43 kg$

$open paren 0.12 comma 0.24 close paren$

We are $99 percent sign$ confident that the true standard deviation in sealed sugar pack weights is between $0.12$ and $0.24 kg$

$open paren 0.12 comma 0.24 close paren$

We are $90 percent sign$ confident that the true standard deviation in sealed sugar pack weights is below $0.12$ and above $0.24 kg$

$open paren 0.09 comma 0.38 close paren$

We are $90 percent sign$ confident that the true standard deviation in sealed sugar pack weights is below $0.09$ and above $0.38 kg$

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