A certain statistics instructor participates in triathlons. The accompanying table lists times​ (in minutes and​ seconds) he recorded while riding a bicycle for five laps through each mile of a​ 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a​ hill? a. Find the F test statistic. F equals ​(Round to four decimal places as​ needed.)   b. Find the​ P-value using the F test statistic. ​P-valueequals ​(Round to four decimal places as​ needed.)

q3-  For categorical data: Select one or more: a. We can't apply boxplot to show its distribution b. We can apply aggregate functions. c. We can't use histogram to show its distribution. d. The interval between units is the same.

The following set of data represents the number of orders filled by a national-chain restaurant during a two week period. Construct a five number summary for the the data.   66, 75, 68, 89, 86, 73, 67, 75, 75, 82, 85, 74, 67, 61 (Round to the nearest hundredth, if needed).    Min _________________ Lower Quartile _________________ Median __________________ Upper Quartile _________________ Maximum __________________   What is the range and the interquartile range (IQR)?  Range __________________ Interquartile Range (IQR)  ___________________

In California, they need more rain to sustain the health of the natural environment, state argriculture, and state economy. A group of statistics students in Oxnard College recorded the amount of rain during 2016-2017 school year, measuring the intensity by the inches of rain, and the results were: Daily Rain Amounts Inches of Rain 1 2 3 4 5 6 Frequency 7 6 6 3 2 1 The mean rain intensity: ________inches (Please show your answer to 1 decimal place.) The median rain intensity: _______inches The mode rain intensity: _______inches Please separate your answers by a comma if there is more than one mode.