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Perform the Required Chi-Square Hypothesis Test σ,\sigma _ {,} Of the Amounts Dispensed by the New Machine Is Less

Question 26

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Perform the required chi-square hypothesis test. Preliminary data analyses and other information indicate that it isreasonable to assume that the variable under consideration is normally distributed. Use the critical-value approach or theP-value approach as indicated.
-A machine dispenses a liquid drug into bottles in such a way that the standard deviation of the contents is 81 milliliters. A new machine is tested on a sample of 24 containers and the standard deviation for this sample group is found to be 26 milliliters. At the 5% level of significance, do the data provide sufficient evidence to conclude that the standard deviation, σ,\sigma _ {,} of the amounts dispensed by the new machine is less than 81 milliliters? Use the critical-value approach.

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