our sample size is 30Calculate the test statistic and p-value. Assuming that α = 0.01, what is the appropriate conclusion to make?Group of answer choicesSince the p-value is greater than 0.01, we fail to reject the null hypothesis and have insufficient evidence to conclude that at least one plant group’s mean weight is different.Since the p-value is greater than 0.05, we fail to reject the null hypothesis and have insufficient evidence to conclude that at least one plant group’s mean weight is different.Since the p-value is greater than 0.01, we reject the null hypothesis and conclude that at least one plant group’s mean weight is different.Since the p-value is less than 0.05, we reject the null hypothesis and conclude that at least one plant group’s mean weight is different. ### Histogram Analysis on Shiny AppThis image displays a set of histograms visualizing the distribution of "weight" across different groups in a study. The application is being hosted on a platform identified by the URL: `shinyserver.byu.edu`.#### Plot Selection- **Dropdown Menu**: The user can choose the type of plot they want to draw. In this instance, "Histograms" are selected.#### Histogram DetailsThe histograms are divided into three panels, each labeled with a different variable:1. **ctrl (Control Group)** - The x-axis represents the "weight" ranging from 3.5 to 6.5. - The y-axis represents the "count" or frequency of weights in each bin. - Most data points appear around the 5.0 mark, with a peak at three counts in the bin.2. **trt1 (Treatment Group 1)** - The distribution of weights is fairly even, with bars consistently spread across the range from 4.0 to 6.0. - Each bin contains approximately one to two counts per weight class.3. **trt2 (Treatment Group 2)** - This graph shows several peaks, most notably at the 5.5 to 6.0 range. - Multiple bars exceed a count of three, suggesting a clustering of data points within this range.#### Additional Feature- **Numerical Summary**: Below the histograms, users can choose which numerical summaries to calculate for each group. Options can be selected from a dropdown menu.By using this interactive Shiny application, users can visually assess and statistically analyze variations in weight across different study groups. **Performing the Test: ANOVA (F-test)**This section illustrates the results of an ANOVA test conducted to determine if the means of different groups are equal.- **F-statistic**: \( 4.846088 \)- **p-value**: \( 0.01591 \)### Graph Explanation:The graph is a plot showing comparisons between three groups: `trt2`, `trt1`, and `ctrl`, plotted on the y-axis, with `weight` on the x-axis. Each group is represented by a line with a point in the center indicating the mean weight and horizontal lines extending on either side representing confidence intervals.- **Group `ctrl`**: Situated at the bottom of the y-axis, with its mean weight approximately around 4.5.- **Group `trt1`**: Placed in the middle, showing a mean weight near 5.0.- **Group `trt2`**: At the top, with a mean weight close to 5.5.### Interpretation:The p-value of \( 0.01591 \) suggests that there is a statistically significant difference in the means of the groups at the typical 0.05 significance level. The F-statistic of \( 4.846088 \) indicates the ratio of variance between the groups to variance within the groups, contributing to the conclusion that at least one group's mean is significantly different from the others.

Name: our sample size is 30Calculate the test statistic and p-value. Assumin
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: our sample size is 30Calculate the test statistic and p-value. Assuming that α = 0.01, what is the appropriate conclusion to make?Group of answer choicesSince the p-value is greater than 0.01, we fail to reject the null hypothesis and have insufficie