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A random sample of eight cigarettes of a certain
brand has average nicotine content of 4.2
milligrams and standard deviation of 1.4
milligrams. Is this in line with the manufacturer claim
that the average nicotine content does not
exceed 3.5 milligrams? Use 0.01 level of
significance.
From past experience, a company has found that in a box of four triple A batteries, 74% contain no defective battery, 7% contain one defective battery, 4% contain two defective batteries, 6% contain three defective batteries, and 9% contain all defective batteries. Calculate the mean, variance, and standard deviation for the defective batteries.
Chimbazeze milling company produces bags of mealie meal. The weight in Kgs per bag varies, as indicated in the below:
Weight in Kgs: 44 45 . 46 47 . 48 49 . 50
Proportion of bags: 0.04 . 0.13 0.21. 0.29. 0.20 . 0.10. 0.03
i. Compute the mean weight per bag
ii. Compute the standard deviation of the weight per bag
iii. The company estimates the cost (in ngwee) of producing a bag of mealie meal to be 752C=+Χ, where X is the number of Kgs per bag. a). Compute the mean cost of producing a bag of mealie meal.
b). Compute the standard deviation cost of producing a bag of mealie
If two dice are thrown what are the varrious total numbers of dots that may turns up? What are the probability of each of them? What is the probability that the number of dots will total at least four?
Make a study about how many sheets of paper you consumed weekly in
answering your Self Learning Modules. Record the quantity (total number of sheets)
per subject, then construct a probability distribution. Compute the mean, variance,
and the standard deviation of the probability distribution you made. Interpret the
result, then find out how many weeks you will consume 50 sheets of pad paper.
Every student creates new FIVE E-mail address and note down the time (in seconds by using stopwatch) you spend to create an E-mail address. So, FIVE measurements are available against FIVE emails. Then, Compute the following statistics, as:
1. Arithmetic Mean
2. Median
3. Mode
4. Range
Researchers want to find out what percentage of a countries population had visited the capital. Which samples below contain bias? Use pencil and paper. If you combine the four samples shown here, will that set contain bias?
At a stop sign, some drivers come to a full stop, some come to a `rolling stop' (not a full stop, but slow down), and some do not stop at all. We would like to test if there is an association between gender and type of stop (full, rolling, or no stop). We collect data by standing a few feet from a stop sign and taking note of type of stop and the gender of the driver. Below is a contingency table summarizing the data we collected.MaleFemaleFull stop66Rolling stop1615No stop43
If gender is not associated with type of stop, how many males would we expect to not stop at all?
) To test the significance of variation in the retail prices of a commodity in three principle cities,
Mumbai, Kolkata and Delhi, four shops were chosen at random in each city and the prices who lack
confidence in their mathematical ability observed in rupees were as follows:
MUMBAI: 16 8 12 14
KOLKATA: 14 10 10 6
Delhi : 4 10 8 8
Do the data indicate that the price in the three cities are significant different?
) To test the significance of variation in the retail prices of a commodity in three principle cities,
Mumbai, Kolkata and Delhi, four shops were chosen at random in each city and the prices who lack
confidence in their mathematical ability observed in rupees were as follows:
MUMBAI: 16 8 12 14
KOLKATA: 14 10 10 6
Delhi : 4 10 8 8
Do the data indicate that the price in the three cities are significant different? (7 marks)
