The TI-83/84 Plus calculator can be used to generate random data from a normally distributed population. The command randNorm(74, 12.5, 100) generates 100 values from a normally distributed population with $\mu=74$ and $\sigma=12.5$ (for pulse rates of women). One such generated sample of 100 values has a mean of $74.4$ and a standard deviation of 11.7. Assume that $\sigma$ is known to be $12.5$ and use a $0.05$ significance level to test the claim that the sample actually does come from a population with a mean equal to 74. Based on the results, does it appear that the calculator's random number generator is working correctly?

Identify the indicated value or interpret the given display. Use the normal distribution as an approximation to the binomial distribution.

In a survey, 1864 out of 2246 randomly selected adults in the United States said that texting while driving should be illegal (based on data from Zogby International). Consider a hypothesis test that uses a 0.05 significance level to test the claim that more than 80% of adults believe that texting while driving should be illegal.

d. What is the conclusion?

Identify the indicated value or interpret the given display. Use the normal distribution as an approximation to the binomial distribution.

In a survey, 1864 out of 2246 randomly selected adults in the United States said that texting while driving should be illegal (based on data from Zogby International). Consider a hypothesis test that uses a 0.05 significance level to test the claim that more than 80% of adults believe that texting while driving should be illegal.

c. What is the P-value?

Identify the indicated value or interpret the given display. Use the normal distribution as an approximation to the binomial distribution.

In a survey, 1864 out of 2246 randomly selected adults in the United States said that texting while driving should be illegal (based on data from Zogby International). Consider a hypothesis test that uses a 0.05 significance level to test the claim that more than 80% of adults believe that texting while driving should be illegal.

b. What is the critical value?

Identify the indicated value or interpret the given display. Use the normal distribution as an approximation to the binomial distribution.

In a survey, 1864 out of 2246 randomly selected adults in the United States said that texting while driving should be illegal (based on data from Zogby International). Consider a hypothesis test that uses a 0.05 significance level to test the claim that more than 80% of adults believe that texting while driving should be illegal.

a. What is the test statistic?

Are Thinner Aluminum Cans Weaker? An axial load of an aluminum can is the maximum weight that the sides can support before collapsing. The axial load is an important measure because the top lids are pressed onto the sides with pressures that vary between $158 \mathrm{lb}$ and $165 \mathrm{lb}$. Pepsi experimented with thinner aluminum cans, and a random sample of 175 of the thinner cans has axial loads with a mean of $267.1 \mathrm{lb}$ and a standard deviation of $22.1 \mathrm{lb}$. Use a $0.01$ significance level to test the claim that the thinner cans have a mean axial load that is less than $281.8 \mathrm{lb}$, which is the mean axial load of the thicker cans that were then in use. Do the thinner cans appear to be strong enough so that they are not crushed when the top lids are pressed onto the sides?

Make a decision about the given claim. Use only the rare event rule stated in the mentioned section, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 beads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors beads.

Claim: The proportion of households with telephones is greater than the proportion of 0.35 found in the year 1920. A recent simple random sample of 2480 households results in a proportion of 0.955 households with telephones (based on data from the U.S. Census Bureau).

Find the test statistic obtained when testing the claim that $p=0.4$ when given sample data consisting of $x=30$ successes among $n=100$ trials.

Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither:

Claim about FICO credit scores of adults: $\mu=678$. Sample data: $n=12, \bar{x}=719$, $s=92$. The sample data appear to come from a population with a distribution that is not normal, and $\sigma$ is unknown.

Find the test statistic and critical value(s). Also, use the mentioned table to find limits containing the P-value, then determine whether there is sufficient evidence to support the given alternative hypothesis.

Supermodel Weights $H_1: \sigma<29 \mathrm{lb}, \alpha=0.05, n=8, s=7.5 \mathrm{lb}$.

Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise.

The U.S. Mint has a specification that pennies have a mean weight of $2.5 \mathrm{~g}$. Assume that weights of pennies have a standard deviation of $0.0165 \mathrm{~g}$ and use the accompanying Minitab display to test the claim that the sample is from a population with a mean that is less than $2.5 \mathrm{~g}$. These Minitab results were obtained using the 37 weights of post1983 pennies listed in the mentioned data set .

$$\begin{array}{rrrrrr} \text { Test of } & \text { mu }=2.5 \text { vs }<2.5 . \text { Assumed } & \text { s.d. }=0.0165 \\ 95 \% & \text { Upper } \\ \text { N } & \text { Mean } & \text { StDev } & \text { Bound } & Z & \text { Z } \\ 37 & 2.49910 & 0.01648 & 2.50356 & -0.33 & 0.370 \end{array}$$

Identify the indicated value or interpret the given display. Use the normal distribution as an approximation to the binomial distribution.

A recent study showed that 53% of college applications were submitted online (based on data from the National Association of College Admissions Counseling). Assume that this result is based on a simple random sample of 1000 college applications, with 530 submitted online. Use a 0.01 significance level to test the claim that among all college applications, the percentage submitted online is equal to 50%.

e. Can a hypothesis test be used to "prove" that the percentage of college applications submitted online is equal to 50%, as claimed?

Identify the indicated value or interpret the given display. Use the normal distribution as an approximation to the binomial distribution.

A recent study showed that 53% of college applications were submitted online (based on data from the National Association of College Admissions Counseling). Assume that this result is based on a simple random sample of 1000 college applications, with 530 submitted online. Use a 0.01 significance level to test the claim that among all college applications, the percentage submitted online is equal to 50%.

d. What is the conclusion?

Identify the indicated value or interpret the given display. Use the normal distribution as an approximation to the binomial distribution.

A recent study showed that 53% of college applications were submitted online (based on data from the National Association of College Admissions Counseling). Assume that this result is based on a simple random sample of 1000 college applications, with 530 submitted online. Use a 0.01 significance level to test the claim that among all college applications, the percentage submitted online is equal to 50%.

c. What is the P-value?