Question

Requirements A researcher collects a simple random sample of grade-point averages of statistics students, and she calculates the mean of this sample. Under what conditions can that sample mean be treated as a value from a population having a normal distribution?

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

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Eye Contact In a study of facial behavior, people in a control group are timed for eye contact in a ...

A: The random variable x represents the eye contact time for the people.The probability of eye contact ...

Q: Politics The County Clerk in Essex, New Jersey, was accused of cheating by not using randomness in a...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesi...

A: Chi square:The test statistic formula for the chi square distribution is,

Q: Anemia Based on data from Bloodjournal.org, 10% of women 65 years of age and older have anemia, whic...

A: It is given that 10% of women have anemia and the blood sample is 8.

Q: Births There are about 11,000 births each day in the United States, and the proportion of boys born ...

A: a.Here, the samples of the same size are taken from the same population every day.That is, the sampl...

Q: Express each of the following using the summation notation: a. [2X1 +2X2 +2X3][5X1 +5X2 +5X33] b...

A: Solution: We have to express each of given terms using the summation notation.a. [2X1 +2X2 +2X3][5X1...

Q: find a point estimate for the population standard deviation (i.e., the standard deviation of the var...

A: Click to see the answer

Q: ow old are professional football players? The 11th Edition of The Pro Football Encyclopedia gave the...

A: The descriptive statistics are calculated in EXCEL. The software procedure is as follows.Enter the d...

Q: True/False  Characterize each of the following statements as being true or false. a. In a hypothesis...

A: a.P-value method: In this method, the P-value is compared with significance level for testing of hyp...

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: Suppose that you have obtained data by taking a random sample from a population. Before performing a...

A: For a random sample that is selected from a population, the following steps have to be done in order...

Q: Lightning Deaths Based on the results given in Cumulative Review Exercise 6, assume that for a rando...

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

Q: What is meant by saying that a 1-a confidence interval is a. exact?b. approximately correct?

A: a.Confidence Interval:Confidence interval is the interval estimate of the population parameter. It i...

Q: If you obtained one thousand 95% confidence intervals for a population mean, µ, roughly how many of ...

A: Solution: We have to determine:If we obtained one thousand 95% confidence intervals for a population...

Q: Exercises pertain to critical values for a Wilcoxon signed-rank test. Use Table V in Appendix A to d...

A: a)For 10% level of significance,

Q: In each of Exercises, assume that the population standard deviation is known and decide whether use ...

A: GivenPopulation standard deviation is knownThe variable under consideration is very close to being n...

Q: Perception and Reality In a presidential election, 611 randomly selected voters were surveyed, and 3...

A: a)Define the random variable x as the number of votes for the winning candidate. Here, the number of...

Q: Which provides stronger evidence against the null hypothesis, a P-value of 0.02 or a P-value of 0.03...

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

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: 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: In Exercises, we have given the value obtained for the test statistic, z, in a one-mean z-test. We h...

A: a)P-value:Here, z= –1.84.

Q: Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesi...

A: The null and the alternative hypotheses are,H0: σ=10 (The standard deviation of beats per minute is ...

Q: Here is a data set summarized as a stem-and-leaf plot: 6# | 22455599 7# | 0001111133455688 8# | 0335...

A: The number of data values are in this data set is obtained below:From the given stem and leaf plot, ...

Q: The margin of error is also called the maximum error of the estimate. Explain why

A: Margin of error:Margin of error is a range of values that lie above and below the sample statistic o...

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: Cans of Coke For the sample data from Exercise 1, we get “P -value < 0.01” when testing the claim...

A: a.It is given that P-value is less than 0.01 and the claim is that the new filling process results i...

Q: Which interval is wider: (a) the 95% confidence interval for the conditional mean of the response va...

A: Justification:Confidence interval:

Q: Using Confidence Intervals a. Assume that we want to use a 0.05 significance level to test the claim...

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

Q: Find the condence level and a for a. a 90% confidence interval.b. a 99% confidence interval.

A: a.The confidence level and α for a 90% confidence interval is obtained below:The confidence level is...

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: In each of Exercises, suppose that you want to perform a hypothesis test for a population mean. Assu...

A: For testing population mean:If sample size is small and the population is normally distributed then ...

Q: Suppose that you take 500 simple random samples from a population and that, for each sample, you obt...

A: Confidence Interval:Confidence interval is the interval estimate of the population parameter. It is ...

Q: Quality Control After constructing a new manufacturing machine, five prototype integrated circuit ch...

A: a. From given information, there are five prototype integrated circuit chips. In five chips, two are...

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: 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 20.

Q: Garlic for Reducing Cholesterol In a test of the effectiveness of garlic for lowering cholesterol, 4...

A: The null and the alternative hypotheses are,H0: µD≤0 (The mean change in LDL cholesterol level is le...

Q: Teacher Salaries. Refer to Exercise. Explain what each of the following would mean. a. Type I error ...

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

Q: Pulse Rates of Males Refer to Data Set 1 “Body Data” in Appendix B and use the pulse rates of males....

A: Here, the data is missing. Consider the below data. PULSE      8072846268727684727280666094949074585...