The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. Ceremonial Ranking Cooking Jar Sherds Decorated Jar Sherds (Noncooking) Row Total A 91 44 135 B 97 48 145 C 84 70 154 Column Total 272 162 434 a. Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) b. What are the degrees of freedom? c. Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

The following data shows the results for 20 students in one of the post graduate unit.42 66 67 71 78 62 61 76 71 6761 64 61 54 83 63 68 69 81 53Based on the information given you are required to Compute the mean, median and mode.

A factory owner has taken a sample (n = 20) of workers to see how many broken widgets each employee produces per day. For the following data, construct a frequency distribution table. Include columns for observed value (Xcat), frequency, proportion, and percent.        2  1  0  2  1  0  7  3  8  0      1  5  0  0  9  2  0  1  3  0

Tornadoes The following data represent the width (inyards) and length (in miles) of tornadoes.Width (yards), w Length (miles), L200 2.5350 4.8180 2.0300 2.5500 5.8400 4.5500 8.0800 8.0100 3.450 0.5700 9.0600 5.7Source: NOAA(a) Draw a scatter diagram of the data, treating width as theindependent variable.(b) What type of relation appears to exist between the widthand the length of tornadoes?(c) Select two points and find a linear model that containsthe points.(d) Graph the line on the scatter diagram drawn in part (b).(e) Use the linear model to predict the length of a tornadothat has a width of 450 yards.(f) Interpret the slope of the line found in part (c).

The following frequency histogram presents the final grades of a random sample of  100 college students. What is the class width?

The highway speeds of 100 cars are summarized in the frequency distribution below. Find the estimated mean speed. Speed (mph) 30-39 40-49 50-59 60-69 70-79 Cars 3. 16 50 18 13 O A. 59.5 mph O B. 62.4 mph O C. 22.8 mph O D. 56.7 mph

The table below shows the scores of a group of students on a 10-point quiz. Test Score Frequency 3 4 4 2 5 2 6 3 7 1 8 4 9 2 10 1 The mean score on this test is: IncorrectThe median score on this test is: Show your work

Use the following data to calculate the expected frequencies for each category. fe Type fo A B Total 190 320 215 325