Mars, a candy company, makes six different classic colors of M&M's. According to the company's website, each package of Milk Chocolate M&M's should contain 24% blue M&Ms. When Professor Duong opened several fun-size bags of M&Ms from Halloween, this was not the case; the number of blue M&Ms seemed quite low! To test the claim that 24% of M&Ms in a bag are blue, Professor Duong bought 30 packs of fun- size M&Ms from four different stores and recorded the data below. Use a significance level of 0.05 to test the claim. Color Red Orange Yellow Green Blue Brown Count 74 107 68 87 96 78 (a) What is the sample proportion of blue M&Ms? Round decimal to four places. (b) Identify the null and alternative hypothesis in symbolic form. Ho: H1: (c) What is the value of the test statistic? Round decimal to two places. z = (d) What is the P - Value ? Round decimal to three places. P - value = (e) State the final conclusion by filling in the blanks: We the null hypothesis because reject/ fail to reject There is evidence to sufficient/ not sufficient support/warrant rejection of the claim that For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mad)

Sam wants to take his music player and his video game player on a car trip. An hour before they planned to leave, he realized that he forgot to charge the batteries last night. At that point, he plugged in both devices so they can charge if possible before they leave. Sam knows that his music player has 40% of its battery life left and that the battery charges by an additional 12 percentage points every 15 minutes. His video game player is new, so Sam doesn’t know how fast it is charging but he recorded the battery charge for the first 30 minutes after he plugged it in. a. If Sam’s family leaves as planned, what percent of the battery will be charged for each of the two devices when they leave?

The Centers for Disease Control and Prevention estimates that 0.2% of the US population died of heart disease in 2006.  A new medical treatment plan claims that it will reduce the risk of dying from heart disease by 12%.  There were approximately 311 million people in the US in 2006.  With this new treatment plan, how many people could be saved in a year if it works?     74,640     622.000     746,400     37,320,000     62,200,000

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. x-intercept = 315 == 15 and y-intercept = 1 Type the point-slope form of the equation of the line. 7 (Use integers or simplified fractions for any numbers in the equation.)

A math course has two midterms and a final exam. Midterm 1 is worth 18% of the final grade, midterm 2 is worth 36% of the final grade, and the final exam is worth 46%. The teacher assigns grades as marks on 100. If a student recieved a mark of 78.1 on the first midterm and 72.6 on the second midterm, what mark does he need on the final exam to get a final grade of 80 in the course. Please use excel for all calculations. Give the answer to 5 decimal places.

You are given thirteen identical- looking balls and a two-sided scale. One of the balls is of a different weight, although you don't know whether it's lighter or heavier. How can you use just three weighings of the scale to determine the different ball?

A company observed a 6.5% increase in the number of injury claims for the forestry section in 2013 compared to 2013. Of the total injury claims for this sector in 2013, 73% were for short-term disability. If there were 1026 short-term disability claims from the forestry sector in 2013, how many injury claims were there for this sector in 2012?