Question

A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 11 phones from the manufacturer had a mean range of 1240 feet with a standard deviation of 24 feet. A sample of 18 similar phones from its competitor had a mean range of 1230 feet with a standard deviation of 28 feet. Do the results support the manufacturer's claim? Let ?1 be the true mean range of the manufacturer's cordless telephone and ?2 be the true mean range of the competitor's cordless telephone. Use a significance level of ? = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1. State the null and alternative hypotheses for the test.

Step 2. Compute the value of the ? test statistic. Round your answer to three decimal places.

Step 3. Determine the decision rule for rejecting the null hypothesis ?0. Round your answer to three decimal places.

Step 4. State the test's conclusion. A) Reject Null Hypothesis B) Fail to Reject Null Hypothesis

Answer #1

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 19 phones from the manufacturer had a mean
range of 1160 feet with a standard deviation of 32 feet. A sample
of 11 similar phones from its competitor had a mean range of 1130
feet with a standard deviation of 23 feet. Do the results support
the manufacturer's claim? Let μ1 be the true mean...

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 18 phones from the manufacturer had a mean
range of 1250 feet with a standard deviation of 31 feet. A sample
of 11 similar phones from its competitor had a mean range of 1230
feet with a standard deviation of 33 feet. Do the results support
the manufacturer's claim? Let μ 1 be the true...

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 11 phones from the manufacturer had a mean
range of 1050 feet with a standard deviation of 40 feet. A sample
of 18 similar phones from its competitor had a mean range of 1030
feet with a standard deviation of 25 feet. Do the results support
the manufacturer's claim? Let µ1 be the true mean...

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 12 phones from the manufacturer had a mean
range of 1150 feet with a standard deviation of 27 feet. A sample
of 7 similar phones from its competitor had a mean range of 1100
feet with a standard deviation of 23 feet. Do the results support
the manufacturer's claim? Let μ1μ1 be the true mean...

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 1919 phones from the manufacturer had a
mean range of 11101110 feet with a standard deviation of 2222 feet.
A sample of 1111 similar phones from its competitor had a mean
range of 10601060 feet with a standard deviation of 2323 feet. Do
the results support the manufacturer's claim? Let μ1μ1 be the true
mean...

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 1111 phones from the manufacturer had a
mean range of 13901390 feet with a standard deviation of 3333 feet.
A sample of 2020 similar phones from its competitor had a mean
range of 13601360 feet with a standard deviation of 3030 feet. Do
the results support the manufacturer's claim? Let μ1μ1 be the true
mean...

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 12 phones from the manufacturer had a mean
range of 1010 feet with a standard deviation of 23 feet. A sample
of 19 similar phones from its competitor had a mean range of 1000
feet with a standard deviation of 34 feet. Do the results support
the manufacturer's claim? Let μ1 be the true mean...

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 6 phones from the manufacturer had a mean
range of 1300 feet with a standard deviation of 20 feet. A sample
of 12 similar phones from its competitor had a mean range of 1290
feet with a standard deviation of 42 feet. Do the results support
the manufacturer's claim? Let μ1 be the true mean...

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 8 phones from the manufacturer had a mean
range of 1300 feet with a standard deviation of 43 feet. A sample
of 14 similar phones from its competitor had a mean range of 1280
feet with a standard deviation of 36 feet. Do the results support
the manufacturer's claim? Let μ1μ1 be the true mean...

A manufacturer claims that the calling range (in feet) of its
900-MHz cordless telephone is greater than that of its leading
competitor. A sample of 18 phones from the manufacturer had a mean
range of 1230 feet with a standard deviation of 37 feet. A sample
of 13 similar phones from its competitor had a mean range of 1190
feet with a standard deviation of 39 feet. Do the results support
the manufacturer's claim? Let μ 1 be the true...

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