Question

In: Statistics and Probability

A simple random sample of 35 men from a normally distributed population results in a standard...

A simple random sample of 35 men from a normally distributed population results in a standard deviation of 11.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.

Complete
parts (a) through (d) below.

a. Identify the null and alternative hypotheses. Choose the correct answer below.
A. H0: σ ≥ 10 beats per minute
H1: σ < 10 beats per minute
B. H0: σ ≠ 10 beats per minute
H1: σ = 10 beats per minute
C. H0: σ = 10 beats per minute
H1: σ < 10 beats per minute
D. H0: σ = 10 beats per minute
H1: σ ≠ 10 beats per minute


b. Compute the test statistic.

χ2 =     (Round to three decimal places as needed.)
c. Find the P-value.
P-value =    (Round to four decimal places as needed.)
d. State the conclusion.
(1)----------Ho, because the P-value is (2)------------ the level of significance. There is (3)--------evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.

1) Do not reject
Reject
(2) greater than
   less than or equal to
(3) insufficient
   sufficient

Solutions

Expert Solution


Related Solutions

A simple random sample of 35 men from a normally distributed population results in a standard...
A simple random sample of 35 men from a normally distributed population results in a standard deviation of 12.5 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of...
A simple random sample of 153 men from a normally distributed population results in a standard...
A simple random sample of 153 men from a normally distributed population results in a standard deviation of 10.9 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that pulse rates of...
A simple random sample of 4444 men from a normally distributed population results in a standard...
A simple random sample of 4444 men from a normally distributed population results in a standard deviation of 7.77.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 1010 beats per minute. Use the sample results with a 0.050.05 significance level to test the claim that pulse rates of...
A simple random sample of 33 men from a normally distributed population results in a standard...
A simple random sample of 33 men from a normally distributed population results in a standard deviation of 8.2 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of...
A simple random sample of 41men from a normally distributed population results in a standard deviation...
A simple random sample of 41men from a normally distributed population results in a standard deviation of 12.5 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men...
A simple random sample of pulse rates of 20 women from a normally distributed population results...
A simple random sample of pulse rates of 20 women from a normally distributed population results in a standard deviation of 12.2beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that pulse...
A simple random sample of pulse rates of 60 women from a normally distributed population results...
A simple random sample of pulse rates of 60 women from a normally distributed population results in a standard deviation of 12.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that...
A simple random sample of pulse rates of 50 women from a normally distributed population results...
A simple random sample of pulse rates of 50 women from a normally distributed population results in a standard deviation of 13.3 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that...
Assume that the sample is a simple random sample obtained from a normally distributed population of...
Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 99​% confident that the sample standard deviation s is within 1​% of sigma. Is this sample size​ practical? sigma To be​ 95% confident that s is within ​1% ​5% ​10% ​20% ​30% ​40% ​50% of the value of sigma​, the sample size n should be at...
A simple random sample of 25 items from a normally distributed population resulted in a sample...
A simple random sample of 25 items from a normally distributed population resulted in a sample mean of 80 and a sample standard deviation of s=7.5. Construct a 95% confidence interval for the population mean.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT