Search & Filtering
A cow is tied to one of the corners of the square field who side is 55 meters long.If the length of the rope is a tenth of the side field, what is the area of the field that is not grazed in cm2?
A company has developed a new battery. The engineering department of the company claims that each battery lasts for 200 minutes. In order to test this claim, the company selects a random sample of 100 new batteries so that this sample has a mean of 190 minutes. Given that the population standard deviation is 30 minutes, test the engineering department’s claim that the new batteries run with an average of 200 minutes. Use 1% level of significance.
Which is the correct null hypothesis that can be derived in the situation?
Which is the correct alternative hypothesis that can be derived in the situation?
What test will be used based from the given values in the situation?
What is the decision based from the critical value and the computed test statistic?
In an advertisement, a certain brand of shampoo is claiming that
the use of this product will make the hair grow faster. It is known
that the mean length of growing hair over thirty days is 2 cm. What would be its H0 and H1?
The federation of private school teachers has developed a
new evaluation instrument that they claim has higher
reliability by producing less error in evaluation. In the past, the
mean number of errors in the evaluation was 20%. What would be its H0 and H1?
There are five card in a box containing the numbers 1,3,5,7 and 9. A sample of size 3 is to be drawn at a time. Construct the sampling distribution of the mean.
a.) How many possible samples can be drawn?
b.) List all the possible samples and the corresponding means.
c.) Construct the sampling distribution of the sample means.
d.) Draw the histogram for the sampling distribution of the sample means.
e.) What is the shape of the histogram of the sampling distribution of the sample means?
prove that f(x)= | x+1| has no tangent line at (-1 0)
The heights of grade 11 male students are normally distributed with a mean of 65 inches and a standard deviation 2.25 inches. (a) Find the values of 45.75 inches and 72.5 inches. (b) What is the probability that a randomly chosen member of the group has height x berween 60 inches and 70 inches?
The cost for labour and materials for painting is R60,00 per square metre. How much will it cost to paint a square parking area of sides with length 32 metres.
The weight of goats at a farm is normally distributed with a mean of 60 kg. A truck used to transport goats can only acommodate not more than 650 kg.If goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
The larger the standard deviation of a distribution, the more heterogeneous the scores in that distribution. Is this statement true?explain.
