An automated filling machine is used to fill bottles with liquid detergent. A random sample of bottles resulted in a sample variance of (fluid ounces)^2. If the variance of fill volume exceeds 0.2 (fluid ounces)^2, an unacceptable proportion of bottles will be under filled or o We want to investigate if there is evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfile Using alpha = 0.05, and assuming that fill volume has a normal distribution, the following results were found: Chi-square test statistic value is = W and the corresponding p-value is 0.048! According to this, Which of the following statements is true? O a. There is strong evidence to reject the null hypothesis and this is a strong conclusion. O b. If the null hypothesis was not rejected, then we conclude that the variance of the fill volume is more than 0.2 (fluid ounces)^2. O c. If the value of the Chi-square test statistic increases then the corresponding p-value increases as well. O d. None of the other statements is True

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UESTION 1
An automated filling machine is used to fill bottles with liquid detergent. A random sample of bottles resulted in a sample variance of fill
(fluid ounces)^2. If the variance of fill volume exceeds 0.2 (fluid ounces)^2, an unacceptable proportion of bottles will be under filled or over
We want to investigate if there is evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled
Using alpha = 0.05, and assuming that fill volume has a normal distribution, the following results were found:
Chi-square test statistic value is = W and the corresponding p-value is 0.048!
According to this, Which of the following statements is true?
O a. There is strong evidence to reject the null hypothesis and this is a strong conclusion.
O b. If the null hypothesis was not rejected, then we conclude that the variance of the fill volume is more than 0.2 (fluid ounces)^2.
O c. If the value of the Chi-square test statistic increases then the corresponding p-value increases as well.
O d. None of the other statements is True
Transcribed Image Text:UESTION 1 An automated filling machine is used to fill bottles with liquid detergent. A random sample of bottles resulted in a sample variance of fill (fluid ounces)^2. If the variance of fill volume exceeds 0.2 (fluid ounces)^2, an unacceptable proportion of bottles will be under filled or over We want to investigate if there is evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled Using alpha = 0.05, and assuming that fill volume has a normal distribution, the following results were found: Chi-square test statistic value is = W and the corresponding p-value is 0.048! According to this, Which of the following statements is true? O a. There is strong evidence to reject the null hypothesis and this is a strong conclusion. O b. If the null hypothesis was not rejected, then we conclude that the variance of the fill volume is more than 0.2 (fluid ounces)^2. O c. If the value of the Chi-square test statistic increases then the corresponding p-value increases as well. O d. None of the other statements is True
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