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  1. Example 1. Based on field experiments, a new variety green gram is expected to given an yield of 12.0quintals per hectare. The variety was tested on 10 randomly selected farmers fields. The yield ( quintals/hectare) were recorded as 14.3,12.6,13.7,10.9,13.7,12.0,11.4,12.0,12.6,13.1.

  2. Carry out an appropriate statistical test and interpret your findings. ANSWER . Yes, a paired t-test suggests that the average difference in hours slept (Dalmane – Halcion) = 0.32 is statistically significant (one sided p-value = .018). SOLUTION . This question is asking for a hypothesis test of the equality of two means in the setting of ...

  3. A Mathematics exam was given to the Year 11 pupils of a certain school. The marks for some of the boys and some of the girls that sat this exam are given in the table below. Boys: 67 , 62 , 56 , 91 , 55 , 68 , 55 , 45 , 80 . Girls: 68 , 87 , 55 , 69 , 79 , 70 , 77 , 69 .

  4. a) Should a z-test or a t test be used to check if there is significant evidence to suggest heart rate increases in men while they are waiting to attend a job interview? b) Conduct the test at the 5% level and interpret your result. c) Calculate a 90 % confidence interval for the population mean.

  5. The only number in this column that satisfies the stated conditions is 0.0432; thus, 0.0432 is the P-value and it corresponds to x = −0.2841. 6. (a) The observed value of the test statistic is. x = ˆp1 − ˆp2 = 1/3 − 3/3 = −2/3. (b) The observed value of the test statistic would be x = ˆp1 − ˆp2 = 2/3 − 2/3 = 0.

  6. instructors of a mathematical statistics course (whether or not my book Mathematical Statistics is used as the textbook) in providing answers to students as well as finding additional examples to the main text.

  7. 12 mar 2018 · Free math worksheets of statistics for high school teachers and math students. Statistics and probability. Classroom printables.

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