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Toasty Tortilla Company has two different manufacturing plants. Company officials want to test whether each plant fills the bags with the same number of ounces. A random sample of tortilla bags from plant A had a mean of 24.2
ounces in each bag. A random sample from plant B had a mean of 23.2 ounces. They randomized the data over 100 trials, and the difference of means for each trial is shown in the dot plot below. What can Toasty Tortilla Company
conclude from this study? (1 point)
-25-2-15-1-05 05 1 15 2 251
O The difference is significant because a difference of 1.0 is very likely
The difference is significant because a difference of 1.0 is not very likely.
The difference is not significant because a difference of 1.0 is very likely
The difference is not significant because a difference of 1.0 is not very likely


Sagot :

kycb

Answer:

Ah, a classic case of comparing two groups! It sounds like the Toasty Tortilla Company needs to do a little hypothesis testing to see if their plants are performing differently. Let's break this down:

1. The Hypothesis:

* Null Hypothesis (H0): There is NO significant difference in the mean weight of tortilla bags filled by the two plants.

* Alternative Hypothesis (H1): There IS a significant difference in the mean weight of tortilla bags filled by the two plants.

2. The Test:

Since we're comparing the means of two independent groups (bags from Plant 1 vs. Plant 2), we'll want to use a two-sample t-test.

3. The Data

You'll need the following:

* A sample of tortilla bag weights from Plant 1.

* A sample of tortilla bag weights from Plant 2.

4. The Analysis:

You'll need to calculate the following:

* The mean weight of the bags from each plant.

* The standard deviation of the bag weights from each plant.

* The sample size for each plant.

With this information, you can use a statistical software package or an online t-test calculator to get your t-statistic and p-value.

5. The Conclusion

* High p-value (typically > 0.05): We fail to reject the null hypothesis. There's not enough evidence to say the plants fill bags differently.

* Low p-value (typically < 0.05): We reject the null hypothesis and accept the alternative hypothesis. There's enough evidence to say the plants fill bags differently.

Remember: The Toasty Tortilla Company should consider factors beyond just the statistical results, such as the practical significance of any difference in weight and the costs/benefits of making changes.

#answer was generated by kycb in Telegram

Step-by-step explanation:

*in answer