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The treadwear index provided on car tyres helps prospective buyers make their purchasing decisions by indicating a tyre's resistance to tread wear. A tyre with a treadwear grade of 200 should last twice as indicating a tyre's resistance to tread wear. A tyre with a treadwear grade of 200 should last twice as long, on average, as a tyre with a grade of 100. A consumer advocacy organisation wishes to test the long, on average, as a tyre with a grade of 100. A consumer advocacy organisation wishes to test the validity of a popular branded tyre that claims a treadwear grade of 200. A random sample of 23 tyres validity of a popular branded tyre that claims a treadwear grade of 200. A random sample of 23 tyres indicates a sample mean treadwear index of 192.8 and a sample standard deviation of 21.8.
Indicates a sample mean treadwear index of 192.8 and a sample standard deviation of 21.8.
(a) Using 0.05 level of significance, is their evidence to conclude that the tyres are not meeting the
(a) Using 0.05 level of significance, is their evidence to conclude that the tyres are not meeting the expectation of lasting twice as long as a tyre graded at 100? Show all your workings expectation of lasting twice as long as a tyre graded at 100? Show all your workings
(b) What assumptions are made in order to conduct the hypothesis test in (a)?
Compare a tabular cum sum chart using standardized values h = 5 and k = 1/2. What is the information you learn.
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In 2013, Gallup conducted a poll and found a 95% confidence interval of the proportion of Americans
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a manufacturer of disk drives for notebook computers wants a mtbf of at least 50000 hours. recent test results for 15
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How many different signals can be made by displaying five flags all at one time on a flagpole? The flags differ in only color: two are red
Figure out the point estimate p^ of the proportion of students on academic probation that are heavy gamers. Round 3 decimal places
1. In an experiment on the uptake of solutes by liver cells, a researcher found that six determinations of the radiation, measured in counts per minute after 20 minutes of immersion, were:
Roll a die twice and record the two outcomes. Let E1 = {the sum of the two outcomes is 7}, E2={the outcome of the first roll is 3}.
Does the distribution of the body masses appear to follow a normal distribution? Provide both a graphical and quantitative assessment.
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