37. A simple random sample of pulse rates of 40 women from a normally distributed population results in a standard deviation of 12.8 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 applie 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 te the claim that pulse rates of women 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. O A. Ho: H₁: 10 beats per minute <10 beats per minute OC. Ho: #10 beats per minute H₁: G=10 beats per minute b. Compute the test statistic. x² = [ (Round to three decimal places as needed.) c. Find the P-value of the test statistic. The P-value of the test statistic is (Round to three decimal places as needed.) d. State the conclusion. (1). Ho. There (2). standard deviation equal to 10 beats per minute. (1) (2) O is not O Reject Fail to reject OB. H₂:=10 beats per minute H₁: <10 beats per minute O D. Ho: H₁: 10 beats per minute #10 beats per minute sufficient evidence to warrant rejection of the claim that pulse rates of women have
37. A simple random sample of pulse rates of 40 women from a normally distributed population results in a standard deviation of 12.8 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 applie 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 te the claim that pulse rates of women 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. O A. Ho: H₁: 10 beats per minute <10 beats per minute OC. Ho: #10 beats per minute H₁: G=10 beats per minute b. Compute the test statistic. x² = [ (Round to three decimal places as needed.) c. Find the P-value of the test statistic. The P-value of the test statistic is (Round to three decimal places as needed.) d. State the conclusion. (1). Ho. There (2). standard deviation equal to 10 beats per minute. (1) (2) O is not O Reject Fail to reject OB. H₂:=10 beats per minute H₁: <10 beats per minute O D. Ho: H₁: 10 beats per minute #10 beats per minute sufficient evidence to warrant rejection of the claim that pulse rates of women have
37. A simple random sample of pulse rates of 40 women from a normally distributed population results in a standard deviation of 12.8 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 applie 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 te the claim that pulse rates of women 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. O A. Ho: H₁: 10 beats per minute <10 beats per minute OC. Ho: #10 beats per minute H₁: G=10 beats per minute b. Compute the test statistic. x² = [ (Round to three decimal places as needed.) c. Find the P-value of the test statistic. The P-value of the test statistic is (Round to three decimal places as needed.) d. State the conclusion. (1). Ho. There (2). standard deviation equal to 10 beats per minute. (1) (2) O is not O Reject Fail to reject OB. H₂:=10 beats per minute H₁: <10 beats per minute O D. Ho: H₁: 10 beats per minute #10 beats per minute sufficient evidence to warrant rejection of the claim that pulse rates of women have
A simple random sample of pulse rates of 40 women from a normally distributed population results in a standard deviation of 12.8 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 women have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.
Transcribed Image Text:37. A simple random sample of pulse rates of 40 women from a normally distributed population results in a standard deviation of 12.8 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 women 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.
O A. Ho: oz 10 beats per minute
H₁:
<10 beats per minute
O C. Ho:
#10 beats per minute
H₁: = 10 beats per minute
b. Compute the test statistic.
x² =
(Round to three decimal places as needed.)
c. Find the P-value of the test statistic.
The P-value of the test statistic is
(Round to three decimal places as needed.)
d. State the conclusion.
(1)
Ho. There (2).
standard deviation equal to 10 beats per minute.
(1)
O Reject
Fail to reject
is not
O is
OB. Ho: 10 beats per minute
H₁: <10 beats per minute
O D. Ho: 10 beats per minute
H₁: G# 10 beats per minute
sufficient evidence to warrant rejection of the claim that pulse rates of women have a
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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