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In one of the hypothesis study, Robin considers to increase the alpha level. Briefly explain the effect on the Type I and Type II errors together with the probability weather he should reject the null hypothesis.

A college professor randomly selects 25 freshmen to study the mathematical background of the  incoming freshman class. The average SAT score of these 25 students is 565 and the standard deviation is estimated to be 40. Using this information, can the professor reject the null hypothesis that the average test score is 550 or less? 

Use a 5 % level of significance.


Indicating gender of a person as either male or female represents___ scale of measurement.
1. Nominal
2. Ordinal
3. Interval
4. Ratio
Categorising a group of employees as working on site (in the office) and working from home is an example of____ scale of measurement.
1. Nominal
2. Ordinal
3. Interval
4. Ratio

The scale of measurement with a true quantitative measurement is the ratio scale because it has the true zero property.

Is this statement true or false?


1) The data represent the murder rate per 1000 individuals in a sample of selected cities in Malaysia.

Class Frequency

5-11 8

12-18 5

19-25 7

26-32 10

33-39 11

40-46 3

Find the mean and standard deviation.

2) A professor of History is teaching a section of 100 students. Her first exam’s grade distribution follows. Calculate the standard deviation for this grouped data.


Exam grades Frequency

45 to < 50 1

50 to < 55 2

55 to < 60 6

60 to < 65 19

65 to < 70 12

70 to < 75 22

75 to < 80 12

80 to < 85 13

85 to < 90 11

90 to < 95 0

95 to < 100 2
Q.2 An insurance salesman sells polices to 6 men, all of identical age and in good health. According to the actuarial tables, the probabilities that a man of this particular age will be alive 30 years hence is . Find the probability that in 30 years (i) all men (ii) at least 4 men, (iii) only three men, (iv) at most one man will be alive.
Hi there, there is a maths assignment that I require help in..
The questions and required docs are in the attached files. Do take a look and update me on it.
The life of a 60- watt light bulb in hours is known to be normally distributed with σ = 25
hours. Create 5 different random samples of 100 bulbs each which has a mean life of x_bar ~
1000 hours and perform one-way ANOVA with state it.

During the nutrition research, the amount of consumed kilocalories per day was measured for 18 people – 10 women and 8 men. Results are as follows:


Women: 1646, 1921, 1990, 1802, 1943, 1606, 1706, 1928, 1645, 1640;


Men: 2287, 2057, 2206, 1978, 2215, 2344, 2081, 2088.


Calculate a 99% confidence interval on the mean for women and men separately. Assume distribution to be normal.

Round your answers to the nearest integer (e.g. 9876).


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