# To test for any significant difference in the number of

Last updated: 2/4/2024

To test for any significant difference in the number of hours between breakdowns for four machines the following data were obtained Machine Machine Machine 1 2 3 6 4 7 9 5 3 7 5 8 4 7 1 9 0 7 7 9 7 10 2 9 4 9 8 10 8 Ho H H H3 H4 Ha H H H3 H4 10 0 9 4 10 1 Ho H H H3 H4 Ha H H H3 H4 8 9 8 4 Machine 4 9 7 12 8 12 0 10 6 11 1 a At the x 0 05 level of significance what is the difference if any in the population mean times among the four machines State the null and alternative hypotheses 11 6 O Ho Not all the population means are equal Ha H H H3 H4 O Ho At least two of the population means are equal Ha At least two of the population means are different Ho M H H3 H4 H Not all the population means are equal Find the value of the test statistic Round your answer to two decimal places Find the p value Round your answer to three decimal places