Pearson eText Business Statistics: First Course -- Instant Access (Pearson+)
8th Edition
ISBN: 9780136880974
Author: David Levine, David Stephan
Publisher: PEARSON+
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The compressive strength, in kilopascals, was measured for concrete blocks from five different batches of concrete, both three and six days after pouring. The data are as follows. Can you conclude that the mean strength after three days is greater than the mean strength after six days? Let μ1 represent the mean strength after three days and μd = μ1 - μ2. Use the a = 0.01 level and the P-value method with the table.
Block
1
2
3
4
5
After
3
days
1389
1380
1302
1377
1336
After
6
days
1314
1321
1318
1386
1356
Part (a)
State the appropriate null and alternate hypotheses.
H0:
H1:
This is a ___ test.
Part (b);
_ < P-value <= _
Part (c);There __ enough evidence to conclude that the mean strength after three days differs from the mean strength after six days.(is/is not)
The compressive strength of concrete is normally distributed with u = 2507 psi and o = 51 psi. A random sample of n = 4
specimens is collected. What is the standard error of the sample mean?
Round your final answer to three decimal places (e.g. 12.345).
The standard error of the sample mean is
psi.
One company's bottles of grapefruit juice are filled by a machine that is set to dispense an average of 180 milliliters (ml) of
liquid. A quality-control inspector must check that the machine is working properly. The inspector takes a random sample of 40
bottles and measures the volume of liquid in each bottle.
We want to test
Hg: μ = 180
Ha: 180
where μ = the true mean volume of liquid dispensed by the machine. The mean amount of liquid in the bottles is 179.6 ml and
the standard deviation is 1.3 ml. A significance test yields a P-value of 0.0589.
Interpret the P-value.
Assuming the true mean volume of liquid dispensed by the machine is 180 ml, there is a 0.0589 probability of getting a
sample mean of 179.6 just by chance in a random sample of 40 bottles filled by the machine.
Assuming the true mean volume of liquid dispensed by the machine is 180 ml, there is a 0.0589 probability of getting a
sample mean at least as far from 180 as 179.6 (in either direction) just by chance in a…
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