Grade distribution: A statistics teacher claims that, on the average, 5% of her students get a grade of 4, 8% get a B, 62% get a C, 15% get a D, and 10% get an F. The grades of a random sample of 100 students were recorded. The following table presents the results. Grade |4 B C D F Observed| 7 23 44 25 1 Send data to Excel (a) How many of the students in the sample got a B? How many got an A4? The number of students who got a B is ' 23 ' The number of students who got an 4 is | 4 ' (b) Compute the expected frequencies. z 0=100|3E = \\ 100 | (c) Which grades were given more often than expected? Which grades were given less often than expected? List all the grades which were given more often than expected, separated by a comma. The grade(s) which were given more often than expected is/are |A, B, D ' oo List all the grades which were given less often than expected, separated by a comma. The grade(s) which were given less often than expected is/are ' C, F|. (d) What is the value of X2 ? Round answers to three decimal places. (e) How many degrees of freedom are there? The number of degrees of freedom is ' 99 ' % S (f) Can you conclude that the distribution of the grades differs from the teacher's claim? Use the o= 0.05 level of significance. State the null and alternate hypotheses. Below, P represents the probability of earning an 4. Hypo=| opg=1 pc=] po=[_ r Pp = lil H1 : Some or all of the actual probabilities are not equal to the values specified by HO. Find the critical value. Round answers to at least three decimal places. Critical value is' ' X Determine whether to reject H,, . (Choose one) |the null hypothesis HO' Part: 8 / 9 (I State a conclusion. There enough evidence to conclude that the distribution of grades does not follow the distribution claimed by the teacher