Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. A simple random sample of 153 men results in a standard deviation of 11 .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 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute; see the accompanying StatCrunch data below for this test. What do the results indicate about the effectiveness of using the range rule of thumb with the "normal range" from 60 to 100 beats per minute for estimating CJ in this case?

$$\begin{matrix} \text{One sample variance hypothesis test:}\\ \text{$\sigma^2$: Variance of variable}\\ \text{$H_0 : \sigma^2$ = 100}\\ \text{$H_A : \sigma^2\ne$100}\\\\ \text{Hypothesis test results:}\\ \text{Variable} & \text{Sample Var.} & \text{DF} & \text{Chi-Square Stat} & \text{P-value}\\ \text{PULSE} & \text{128.40282} & \text{152} & \text{195.17229} & \text{0.0208}\\ \end{matrix}$$

If we have a large voluntary response sample consisting of weights of subjects who chose to respond to a survey posted on the Internet, can a graph help to overcome the deficiency of having a voluntary response sample?

Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. A simple random sample of birth weights of 30 girls has a standard deviation of 829.5 hg. Use a 0.01 significance level to test the claim that birth weights of girls have the same standard deviation as birth weights of boys, which is 660.2 hg.

Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. Tests in the author's statistics classes have scores with a standard deviation equal to 14.1. One of his last classes had 27 test scores with a standard deviation of 9.3. Use a 0.01 significance level to test the claim that this class has less variation than other past classes. Does a lower standard deviation suggest that this last class is doing better?

Original claim: More than 58% of adults would erase all of their personal information on line if they could. The hypothesis test results in a P-value of 0.3257. Use a significance level of $\alpha$ = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject $H_0$ or fail to reject $H_0$.) b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.

Assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.Listed below are the lead concentrations (in $\mu$g / g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States (based on data from "Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet," by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8). Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 $\mu$g / g.

$$\begin{array} { c c c c c c c c c } { 3.0 } & { 6.5 } & { 6.0 } & { 5.5 } & { 20.5 } & { 7.5 } & { 12.0 } & { 20.5 } & { 11.5 } & { 17.5 } \end{array}$$

The test statistic of z = 2.01 is obtained when testing the claim that $p \ne 0.345$. Using a significance level of $\alpha$ = 0.05, should we reject $H_0$ or should we fail to reject $H_0$ ?

Choose the correct term to complete each sentence. A set of three nonzero whole numbers that satisfy

$$a ^ { 2 } + b ^ { 2 } = c ^ { 2 }$$

form a(n) _____.

The test statistic of z = 1.00 is obtained when testing the claim that p > 0.3. Find the P-value.

The heights (in inches) of men have a distribution that is approximately normal, so it appears that those heights are from a normally di tributed population. Are the logarithms of normally distributed heights also normally distributed?

After 1964, quarters were manufactured so that their weights have a mean of 5.67 g and a standard deviation of 0.06 g. Some vending machines are designed so that you can adjust the weights of quarters that are accepted. If many counterfeit coins are found, you can narrow the range of acceptable weights with the effect that most counterfeit coins are rejected along with some legitimate quarters. If you adjust vending machines to accept all legal quarters except those with weights in the top 2.5% and the bottom 2.5%, what are the limits of the weights that are accepted?

Write the specified quantity as a function of the specified variable. It will help in each case to draw a picture. One leg of a right triangle is twice as long as the other. Write the length of the hypotenuse as a function of the length of the shorter leg.

The test statistic of z = 2.01 is obtained when testing the claim that $p \ne 0.345$. Find the P-value.

Claim: Most adults would erase all of their personal information online if they could. A GFI Software survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could. Find the value of the test statistic.