Questions: Question 10 1 pts In 2020, the mean weight of women was reported at μ2020= 162 lbs. Suppose that an investigator hypothesizes that weights are different in 2021. What is the corresponding alternative hypothesis for this research? μ2021=μ2020 μ2021 ≠ μ2020 μ2021>μ2020 μ2021<μ2020

Question 10
1 pts

In 2020, the mean weight of women was reported at μ2020= 162 lbs. Suppose that an investigator hypothesizes that weights are different in 2021. What is the corresponding alternative hypothesis for this research?
μ2021=μ2020
μ2021 ≠ μ2020
μ2021>μ2020
μ2021<μ2020

Transcript text: Question 10 1 pts In 2020, the mean weight of women was reported at $\mu_{2020}=$ 162 lbs . Suppose that an investigator hypothesizes that weights are different in 2021. What is the corresponding alternative hypothesis for this research? $\mu 2021=\mu 2020$ $\mu 2021 \neq \mu 2020$ $\mu 2021>\mu 2020$ $\mu 2021<\mu 2020$

Solution

Solution Steps

Step 1: Define the Hypotheses

In this research, we are examining the mean weight of women in 2021 compared to the mean weight reported in 2020. The null and alternative hypotheses can be defined as follows:

Null Hypothesis ($H_0$): \[ \mu_{2021} = \mu_{2020} \]
Alternative Hypothesis ($H_1$): \[ \mu_{2021} \neq \mu_{2020} \]

Step 2: Identify the Alternative Hypothesis

The alternative hypothesis indicates that the mean weight of women in 2021 is different from that in 2020. This is a two-tailed test, which means we are interested in any significant difference, whether it is an increase or a decrease.