Question

When comparing the weights of upright vacuum cleaners with either a hard body type or a soft body type at alpha = 0.05, can you conclude whether the means of the two types are significantly different?

Answer 1

To compare the weights of upright vacuum cleaners with either a hard body type or a soft body type, we can conduct a hypothesis test to determine if the means are significantly different.

Step-by-step explanation:

To determine whether the means of the weights of the two types of upright vacuum cleaners are significantly different, a hypothesis test can be conducted.

1. Null hypothesis (H0): The means of the two types are equal.
2. Alternative hypothesis (H1): The means of the two types are not equal.
3. Calculate the test statistic and p-value using a suitable statistical test, such as the t-test for independent samples.
4. If the p-value is less than the significance level (alpha), typically 0.05, we reject the null hypothesis and conclude that there is a significant difference in the means of the two types of upright vacuum cleaners.
5. Otherwise, if the p-value is greater than or equal to alpha, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference in the means of the two types.