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A company sells packets of durian crackers that they claim on average, contains at least 20g of durian crackers. They admit that their claim is wrong (and will refund any money), if a sample of 40 durian crackers have a mean less than 19.8g. If the standard deviation is 0.5g, determine the critical value that specifies the rejection region.

It is known that 90% of a defeated computers can be repaired. A sample of 20 computers is selected randomly. Find the probability that;

1. At least 3 computers can be repaired.

2. 5 or less computers can be repaired.

3. None can be repaired

Based on your output on these how will you advice after a critical analysis from your output


b) In a examination, the mean score was 48 and standard deviation was 5 for a group

of 100 students. Assuming a normal distribution,

i) how many students scored between 43 and 53?           (2 marks)

ii) how many scored above 40?                                       (2 marks)

iii) how many scored above 50?                                      (2 marks)


A company sells packets of durian crackers that they claim on average, contains at least 20g of durian crackers. They admit that their claim is wrong (and will refund any money), if a sample of 40 durian crackers have a mean less than 19.8g. If the standard deviation is 0.5g, determine the critical value that specifies the rejection region.


A correlation of -0,87 is a ______.
1. strong correlation, thus indicating a causal relationship
2. moderate negative correlation, thus indicating a weak relationship
3. calculation error as the relationship cannot be negative
4. strong negative correlation, thus indicating an inverse relationship
The notation ΣXY refers to ______.
1. (12+33+44+46+52+60+75) x (11+39+48+50+54+63+70)
2. (ΣX)(ΣY)
3. (12x11)+(33x39)+(44x48)+(46x50)+(52x54)+(60x63)+(75x70)
4. (12+11) (33+39) (44+48) (46+50) (52+54) (60+63) (75+70)

Based on the information provided, the lecturers made sure the different levels of performance were represented [from below average to above average] when selecting students. Which scale of measurement will be applicable?

1. Nominal.

2. Ordinal.

3. Interval.

4. Ratio.


2. The annual salaries of employees in a large company are approximately normally distributed with a mean of N50,000 and a standard deviation of N 20,000.
i. What percent of people earn less than N 40,000?
ii. What percent of people earn between N 45,000 and N 65,000?
iii. What percent of people earn more than N 70,000?
4 items are taken at random from a box of 12 items and inspected. The box is rejected if more than 3 item is found to be faulty. If there are 5 faulty items in the box .Find the probability that the box is rejected.
A company sells packets of durian crackers that they claim on average, contains at least 20g of durian crackers. They admit that their claim is wrong (and will refund any money), if a sample of 40 durian crackers have a mean less than 19.8g. If the standard deviation is 0.5g, determine the critical value that specifies the rejection region.
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