Assume that 130 students are surveyed and every student takes at least one of the following languages. The results of the survey are as follows: 72 take French. 72 take German. 39 take French and German. 36 take German and Russian. 19 take French as their only foreign language. 16 take French, Russian, and German. How many take Russian?

. 85 people were surveyed about what kind of smart phones they have had before. Of those 85 people, 23 had never had an iPhone or a Samsung and 34 reported having an iPhone at some point. Of those having an iPhone, 4 said they had also had a Samsung before. Fill in the Venn diagram below. Samsung b. iPhone

A professor has a class with five recitation sections. Each section has 18 students. The question is whether or not the average test score is significantly different for any of the sections. Group-1 Group-2 Group-3 Group-4 Group-5 83.7 84.3 56.6 67.5 60.7 80.8 77.1 83 71.9 80.2 91.3 72.4 77.4 70.5 57.3 80.1 74.4 79.2 79 68.7 93.3 71.9 73 81.8 70 78.1 73.7 74.5 62.8 64.5 76.5 69.7 81.4 75.1 63.1 68.2 72 75.2 83.7 65.5 62.8 71 79.3 85.4 67.6 76.5 73.1 74.5 81.5 67.1 79.2 67.9 74.9 86.7 72.2 62.1 78.7 84.8 63.4 80.8 86.7 97.2 66.8 79.3 68.2 79 74.6 66.4 75.9 67.7 79.1 82.3 69.3 70.3 68.2 71.1 62.2 53.3 71.1 58 61.8 68.9 82.7 60.2 73 70.7 83.2 61.9 64.6 49.5 Conduct a test to determine if the group means are equal using α=0.02α=0.02.  Summary statistics:F-ratio (F-test statistics) =      p-value =     (report accurate to at least 4 decimal places)What is the measure of effect size ω2ω2 ? This is on the Excel sheet and is also a measure of the…

A sample of 296 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according to major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below. Biology Business Engineering Mathematics Female 33 30 22 45 Male 24 43 26 16 Among all the students in the sample, what is the relative frequency of male computer science majors? Round your answer to two decimal places. 1 X Computer science 41 16 Españ Aa