Question
In March 2020, many individuals began working from home. A local plant store believes this resulted in an increase in the average number of indoor
In March 2020, many individuals began working from home. A local plant store believes this resulted in an increase in the average number of indoor plants per household. In 2019, the store conducted a study asking how many indoor plants were in the household. They conducted the study again in 2020 asking households how many indoor plants they cared for. Conduct the appropriate test to determine if the average number of indoor plants per household in 2019 is less than the number of plants in 2020 assuming the variances are equal.
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a. Specify the null and alternative hypotheses.
b. What are the values for the test statistic and p-value? (Round to 4 decimal places)
c. At the 5% significance level, what are the decision and conclusionforthistest?
year2019 | year2020 |
2 | 18 |
13 | 5 |
9 | 14 |
0 | 13 |
3 | 15 |
11 | 16 |
3 | 7 |
16 | 8 |
11 | 20 |
10 | 8 |
8 | 19 |
11 | 21 |
9 | 17 |
14 | 16 |
10 | 14 |
17 | 19 |
0 | 7 |
9 | 18 |
15 | 24 |
15 | 17 |
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