Testing Claims About Variation. In Exercises 5–16, 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. Body Temperature Example 5 in Section 8-3 involved a test of the claim that humans have body temperatures with a mean equal to 98.6°F. The sample of 106 body temperatures has a standard deviation of 0.62°F. The conclusion in that example would change if the sample standard deviation s were 2.08°F or greater. Use a 0.01 significance level to test the claim that the sample of 106 body temperatures is from a population with a standard deviation less than 2.08°F. What does the result tell us about the validity of the hypothesis test in Example 5 in Section 8-3?

Question

Testing Claims About Variation. In Exercises 5–16, 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.

Body Temperature Example 5 in Section 8-3 involved a test of the claim that humans have body temperatures with a mean equal to 98.6°F. The sample of 106 body temperatures has a standard deviation of 0.62°F. The conclusion in that example would change if the sample standard deviation s were 2.08°F or greater. Use a 0.01 significance level to test the claim that the sample of 106 body temperatures is from a population with a standard deviation less than 2.08°F. What does the result tell us about the validity of the hypothesis test in Example 5 in Section 8-3?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Another type of confidence interval is called a one-sided confidence interval. A one-sided confidenc...

A: The lower bound of the confidence interval about population mean is,

Q: Verbal GRE Scores. Refer to Problem, and fill in the following blanks. a. Approximately 68% of stude...

A: a.Here, it is observed the mean and the standard deviations of the scores on the verbal portion of t...

Q: Confidence Interval Assume that we will use the sample data from Exercise 1 with a 0.05 significance...

A: Given:Level of significance = α = 0.05Claim: The population mean is greater than 90 secConfidence in...

Q: Exercises pertain to P-values for a one-mean t-test. For each exercise, do the following tasks. a.Us...

A: a.Obtain the possible range of P-value for the given information.

Q: Organ Donors USA Today provided information about a survey of 5100 adult Internet users. Of the resp...

A: a.The percentage of respondents said that they are willing to donate organs after death is,

Q: In Exercises, hypothesis tests are proposed. For each hypothesis test, a.determine the null hypothes...

A: a).Let µ be the mean annual salary of classroom teachers.The null hypothesis for the test is given b...

Q: The distribution of systolick blood pressure of 19-year old women is approximantely bell shaped with...

A: Empirical Rule: The percentage of values lies between one standard deviation from the mean is 68%.Th...

Q: Consider the normal curves that have the parameters µ = 1.5 and σ = 3; µ = 1.5 and σ = 6.2; µ = -2.7...

A: Justification:The spread is represented by standard deviation (σ). If the value of the standard devi...

Q: Cans of Coke: Confidence Interval  If we use the data given in Exercise 1, we get this 95% confidenc...

A: The 95% confidence interval for the new filling process is 0.1846 oz. < σ < 0.4900 oz.

Q: Technology. In Exercises 9–12, test the given claim by using the display provided from technology. U...

A: The claim is to test that the mean of tornado length is greater than 2.5 miles at 5% level of signif...

Q: Suppose that you take 1000 simple random samples from a population and that, for each sample, you ob...

A: There are 1,000 simple random samples. For each sample, 95% confidence interval for an unknown param...

Q: Finding P-values. In Exercises 5–8, either use technology to find the P-value or use Table A-3 to fi...

A: Given info: The claim is that for Version data speeds at airports with the mean 14 mbps, the sample ...

Q: Vision Correction A survey sponsored by the Vision Council showed that 79% of adults need correction...

A: Define the random variable x as the number of adults who need eyesight correction. Here, the total n...

Q: Cloudiness in Breslau. In the paper “Cloudiness: Note on a Novel Case of Frequency” (Proceedings of ...

A: a.It is given that mean degree of cloudiness is, μ = 6.83 and standard deviation σ = 4.28. The sampl...

Q: VerbalGREScores. The Graduate Record Examination (GRE) is a standardized test that students usually ...

A: a.The 25th percentile is which is first quartile can be calculated as:Area corresponding to z score ...

Q: In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, wh...

A: The following assumptions are required for the small sample confidence interval about mean to be val...

Q: In Exercises, hypothesis tests are proposed. For each hypothesis test, a.determine the null hypothes...

A: a).Let µ be the mean RDA of the iron.The null hypothesis for the test is given below:Null Hypothesis...

Q: Exercises pertain to P-values for a one-mean t-test. For each exercise, do the following tasks. a.Us...

A: a.Obtain the possible range of P-value for the given information.

Q: Identify the two types of incorrect decisions in a hypothesis test. For each incorrect decision, wha...

A: There are two types of errors in Hypothesis testing. They are,Type I error:Probability of rejecting ...

Q: Low Birth Weight The University of Maryland Medical Center considers “low birth weights” to be those...

A: a)The random variable x represents the birth weights.The formula to convert the x value into Z score...

Q: Use the empirical rule for variables to answer the questions posed in parts (a)–(c) of Exercises. Av...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: Counting with Fingers How many different ways can you touch two or more fingers to each other on one...

A: Click to see the answer

Q: A variable of a population has a mean of 266 and a standard deviation of 16. Ten observations of thi...

A: Solution: We are given: 

Q: Random Variable The accompanying table lists probabilities for the corresponding numbers of girls in...

A: Let X be the random variable which represent the number of girls born in four biths.

Q: In each of Exercises, we provide a sample mean, sample size, sample standard deviation, and confiden...

A: a)Critical value:For 99% level of significance,

Q: Regarding the criterion used to decide on the plane that best fits a set of data points in k + 1 dim...

A: a)Least-square criterion:The least-square criterion is the criterion using which it is determined th...

Q: A variable of a population is normally distributed with mean µ and standard deviation σ. a. Identify...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: What role does the decision criterion play in a hypothesis test?

A: Decision criterion:If the p-value of the test is less than or equal to the level of significance, re...

Q: Designing a Work Station A common design requirement is that an environment must fit the range of pe...

A: a)The random variable x represents the sitting knee heights of the males.The minimum table clearance...

Q: Finding P -values. In Exercises 5–8, either use technology to find the P-value or use Table A-3 to f...

A: The P-value is calculated by using Excel:The degrees of freedom is n-1 which is equal to 3.

Q: Uncertainty True or false: If correct methods of hypothesis testing are used with a large simple ran...

A: Click to see the answer

Q: Answer true or false to each statement. Give reasons for your answers. a. Two variables that have th...

A: (a)Here, it is observed that the different types of distributions have the same mean and standard de...

Q: Preliminary data analyses indicate that you can reasonably use a t-test to conduct each of the hypot...

A: The null and alternative hypotheses are stated below:

Q: Regarding analysis of residuals, decide in each case which assumption for regression inferences may ...

A: a.An important property of the residual plot against the predicted values:A residual plot drawn agai...

Q: What is the difference in assumptions between the one-mean t-test and the one-mean z-test?

A: The One Sample t Test determines whether the sample mean is statistically different from a known or ...

Q: Determine whether or not the procedure described below results in a binomial distribution. If it is ...

A: It is given that 600 voters with two political parties A and B are selected from a population of 6,0...

Q: Annual Income. Refer to Problem 18. OutputsA.22(a), (b), and (c) on page A-62 display, respectively,...

A: Click to see the answer

Q: What is the median of a continuous random variable? What is the median of an exponential distributio...

A: Click to see the answer

Q: How do I get or read the 6 charachteristics of data from a box and whisker graph

A: Generally, Box and whisker plot is used for descriptive analysis. That is, for primary analysis of d...

Q: A variable of a population has a mean of µ = 35 and a standard deviation of σ = 42. a. If the variab...

A: a.Sampling distribution of a sample mean:

Q: Hybrids One of Mendel’s famous experiments with peas resulted in 580 offspring, and 152 of them were...

A: a. According to given information:

Q: Two t-curves have degrees of freedom 12 and 20, respectively. Which one more closely resembles the s...

A: Condition for standard normal curve: If the sample size is large (>30), then the distribution fol...

Q: Suppose that you are considering a hypothesis test for a population mean, µ. In each part, express t...

A: a).The test for the given situation is Two-tailed test.Let µ be the population mean.The null and alt...

Q: Preliminary data analyses indicate that you can reasonably use a t-test to conduct each of the hypot...

A:  From the given information,Sample size (n) =6,Sample mean = 182.7Sample standard deviation (s) =2.7...

Q: What is the difference between class boundaries and class limits

A: Class limit: The smallest and the largest value for a class are called as class limits. The smallest...