Question
Pacific Telecom Ltd. claims that their new design for a wireless router has increased the speed to at least 1700 Mbits/sec, a big improvement over
Pacific Telecom Ltd. claims that their new design for a wireless router has increased the speed toat least1700 Mbits/sec, a big improvement over 1300 Mbits/sec maximum of the previous version. An independent testing laboratory in Vancouver found that a random sample of 46 of the newest version routers delivered speed of 1648 Mbits/sec, on average, with a standard deviation of 102 Mbits/sec. Is there any evidence that the manufacturer's claim is false? Test the claim using a 1% significance level. Assume that the speeds are approximately normally distributed as the histogram of the sample values is roughly symmetric and bell-shaped, so t-distribution is applicable for hypothesis testing.
Round to 3 decimal places where appropriate.
(a) State the null and alternative hypotheses, and identify which one is the claim.
H
0
H0
:Select an answer
p
s
x
?
=
>
<
H
1
H1
:Select an answer
p
x
s
?
>
=
<
Which one is the claim:
- H
- 0
- H0
- H
- 1
- H1
For parts (b), (c) use the correct sign for the t-value and test statistic, either positive or negative.
(b) What is the critical t-value (from the Student t-table)?
(c) What is the test statistic (from the formula)?
(d) Is the null hypothesis rejected?
- No
- Yes
(e) Conclude:
- At 1% significance level, there is sufficient sample evidence to warrant rejection of the claim. The speed did increase to the extent company claimed.
- At 1% significance level, there is not sufficient evidence to warrant rejection of the claim. The speed may have increased to the extent company claimed.
- At 1% significance level, there is not sufficient evidence to warrant rejection of the claim. There is not enough evidence to conclude that the speed increased to the extent company claimed.
- At 1% significance level, there is sufficient sample evidence to warrant rejection of the claim. The speed did not increase to the extent company claimed.
- None of the above.
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