Data available regarding the marks in a particular Statistics course shows an average of 68% . A professor hypothesizes that in her class the marks have increased due to the introduction of a special pop up duizzing system that encouraged consistent study over the semester. To test the hypothesis, a sample of 23 students are selected and their marks are recorded. It is found that the mean of the sample studied was 76%, with a standard deviation of 12%. Use a 10% level of significance. Is there statistical evidence of an increase in marks after the quizzing system was introduced? a] State the appropriate test {Type 2 or t} [1 mark] b] State the null hypothesis {Which is correct: a} HO: p, 268%; b} HO: #2 268%; c] HUI: pl 276%; d} :1. E6393]. Type a, b, c or d. Do not use brackets. [1 mark] c] State the alternate hypothesis [Which is correct: a] Ha: p, 268%; b] Ha: IL {68% ;c] Ha: M )6396; d] Ha: ,u 576%}. Type a, b, c, or d. Do not use brackets. [1 mark] d} State the critical value (values). If there are 2 values copy and paste the following sign: :l: [2 marks] e} Calculate the test statistic (Express your answer correct to 3 decimal places] [2 marks] 1'] Make a decision. Which is correct: a] We reject the null hypothesis; b} We fail to reject the null hypothesis. Type a or b no brackets [1 mark] g] State a conclusion. Which is correct: a] At 10% level of significance we did not find enough evidence to support the claim; b) At 10% level of significance we found enough evidence to support the claim. Type a or b - no brackets. [1 mark]