The following frequency distribution shows the number of times an outcome was observed from the toss of a die. Based on the frequencies that were observed from 2400 tosses of the die, can it be concluded at the 0.05 level of significance that the die is fair? Outcome Frequency 1 352 418 434 480 341 6. 375

Consider the following random sample of data: 9, -9, 0, 5, 10, 7, 1, -6, -1, 82 a) What is the mean of the sample data? Round your response to at least 2 decimal places. Number b) If the outlier is removed, what is the mean of the remaining sample data? Round your response to at least 2 decimal places. Number

2. A coach gave her team a test on sit-ups completed in one minute. Using the data collected, the coach constructed the following frequency distribution: Scores 90-99 80-89 70-79 60-69 50-59 40-49 30-39 20-29 10-19 0-9 a. 9 12 17 13 10 7 3 1 What is the percentile score for a raw score of 38? Show your work. b.) The coach wants to take the top 20% of the team and train them for the World Sit-up Championships. What raw score cut-off would be used to choose the team? Show your work. Note: you can't have part of a person on the team.

Samuel F.B. Morse (1791-1872), the creator of the Morse Code, claimed that 12 % of all letters used in English language were "e"s. Suppose random samples of 196 letters are selected from a book. Use this information to answer question below.

According to the M&M candy company, the expected proportion can be found in the table. In addition, the table contains the number of M&M's of each color that were found in a case of candy. At the 10% level, do the observed frequencies support the claim of M&M? M&M Observed and Proportions Brown Green Blue Orange Red Yellow Total 474 540 333 381 2734 Observed Frequencies 642 364 0.24 0.13 0.16 0.20 Expected Proportion 0.13 0.14 State the hypotheses. Ho: The observed frequencies are consistent with the distribution of colors for M&M candies. consistent with the distribution of colors for M&M candies. Ha: The observed frequencies are not Calculate the x² test statistic. Round expected values to two decimal places. Round x² to three decimal places. x² = Calculate the p-value. Round to four decimal places. p-value = State your decision. Since p-value?a, Select an answer Ho. Interpret the results. At the 10% signficance level there Select an answer enough evidence to conclude that the…

You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies: of Cars in Each Lane Frequency Outcome Frequency Expected Frequency Lane 1 89 Lane 2 98 Lane 3 92 Lane 4 93 b. What is the correct statistical test to use? Select an answer Y C. What are the null and alternative hypotheses? Ho: OThe distribution of traffic is not uniform. O The traffic and lanes are independent. O The distribution of traffic is uniform. KO The traffic and lanes are dependent. Hi : OThe distribution of traffic is uniform. OThe traffic and lanes are independent. O The traffic and lanes are dependent. O The distribution of traffic is not uniform.