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MNO2502-25-S2
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Woolworths South Africa analysed the value of purchases made on credit cards by a random sample of n = 25 of their credit card customers. The sample mean was calculated at x̄ = R170, with a sample standard deviation of σ = R22. With 95% confidence, estimate the actual mean value of credit card purchases by all their credit card customers.
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A neuropsychologist designs a short-term memory test for that has a population mean μ score of I00 and a standard deviation σ = 5 assumes the scores are normally distributed. Calculate the probability that a randomly selected person will have a score of less than 95, P (Z < 95)
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A professor of statistics refuses the claim that the average student spends 3 hours studying for the exam. Which one of the following hypothesis is used to test the claim?
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What is the distribution that has a mean of zero and a standard deviation of one is called?
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In testing the hypothesis H0: π = 0.40, H1: π > 0.40 at the 5% significance level, if the sample proportion is 0.45 and the p–value is 0.0764, the appropriate conclusion would be:
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A normally distributed population of Statistics students marks in percentage has a mean μ = 40 and a standard deviation σ =12. The standard error of the sample mean if the sample size n = 100 equal to:
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A recent survey amongst n= 240 randomly selected street vendors in Johannesburg showed that p= 84 of them felt that local by-laws still hampered their trading. Find the 90% confidence interval for the true proportion, π, of all Johannesburg street vendors who believe that local by-laws still hamper their trading.
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A survey of a random sample of n = 300 undergraduate students in Unisa found that the mean value of their examination mark was x̄ = 78. Assume that the population standard deviation of the examination mark is σ = R21. Find the 95% confidence limits for the average value of an examination mark by all undergraduate students at Unisa.
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Which of the following is not among the steps that provide a methodical way of conducting a hypothesis test.
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The long–distance calls made by Unisa academic staff are normally distributed with a mean μ = 6,3 minutes and a standard deviation σ = 2,2 minutes. Use the normal standardised table to calculate the probability that a call will last more than 7 minutes, P (Z > 7)
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