How would a p-value be calculated in this situation

Assignment Help Mathematics
Reference no: EM131132210

1. Which of the following statements regarding the t distribution is true?

A) The total area under a t-curve with 10 degrees of freedom is greater than the area under the standard normal curve (i.e., z distribution).

B) The t-curve with 10 degrees of freedom is flatter and the tails are higher than the standard normal curve (i.e., z distribution).

C) The t-curve with 10 degrees of freedom more closely resembles the standard normal curve (i.e., z distirbution) than the t-curve with 50 degrees of freedom.

2. Which of the following statements best describes the relationship between a parameter and a statistic?

A) A parameter is used to estimate a statistic.

B) A statistic is used to estimate a parameter.

C) A parameter has a sampling distribution with the statistic as its mean.

3. For which of the following situations would the Rule for Sample Proportions not apply?

In other words, in which of the following situations would it be inappropriate to use the normal approximation method?

A) A random sample of 100 is taken from a population in which the proportion with the trait of interest is 0.98.

B) A random sample of 50 is taken from a population in which the proportion with the trait of interest is 0.50.

C) A binomial experiment is done with n = 500 and p = 0.9.

4. Suppose time spent on email for employees in a normal work day is independent and normally distributed with an average of 57 minutes and standard deviation of 12 minutes. What is the standard deviation of the sample mean in a random sample of n = 36 employees?

A) 1.58 minutes

B) 2.00 minutes

C) 9.50 minutes

D) 0.33 minutes

5. Suppose that a confidence interval for a population proportion is to be calculated. For a sample size n = 100 and sample proportion = 0.80 what is the approximate margin of error for a 95% confidence interval?

A) 0.1600

B) 0.0032

C) 0.0800

D) 0.0400

6. When the 2000 General Social Survey asked participants if they would be willing to accept cuts in their standard of living to protect the environment, 350 of 1400 participants responded "yes." A 98% confidence interval for the proportion of all Americans who would accept cuts in their standard of living to protect the environment is:

A) (0.2309, 0.2691)

B) (0.2273, 0.2727)

C) (0.2230, 0.2770)

D) (0.2201, 0.2799)

7. The heights of a sample of n = 101 3rd grade school boys will be used to create a 99% confidence interval for the mean height of all 3rd grade boys. The sample mean is 48 inches and sample standard deviation is 5 inches. Which of the following provides a 99% confidence interval for the population mean?

A) 48 ± (2.626)(5)

B) 48 ± (2.626)(0.5)

C) 48 ± (2.626)(1)

D) 48 ± (2.626)(2.5)

8. A group of researchers want to know if, on average, professors sit for more than 6 hours a day. Using mu to represent population mean of sitting hours during the day for high blood pressure patients and mu-hat to represent the sample mean of the 100 patients, what is a correct statement of null hypothesis for this study?

A) mu = 6

B) mu-hat > 6

C) mu >= 6

D) mu-hat = 6

9. A random sample of 100 light bulbs was examined to test if the mean life of all light bulbs of this brand is different from 5000 hours. The null hypothesis is that the population mean is 5000 hours. The alternative hypothesis is that the population mean is not 5000 hours. Suppose the mean of the sample is 5200 hours. How would a p-value be calculated in this situation?

A) Find the chance of the sample mean to be 5200 or more hours, calculated assuming the true population mean is smaller than 5000.

B) Find the chance of the sample mean to be 5200 or more hours, calculated assuming the true population mean is exactly 5000.

C) Find the chance of the sample mean to be 5200 or less hours, calculated assuming the true population mean is exactly 5000.

D) Find the chance of the sample mean to be 5200 or more hours, calculated assuming the true population mean is greater than 5000.

10. Statistical significance occurs when

A) Sample statistics vary from the parameter value in the null hypothesis to the extent that it is unlikely that the results obtained were due to random sampling error.

B) Sample statistics vary from the parameter value in the null hypothesis to the extent that it is likely that the results obtained were due to random sampling error.

C) Sample statistics vary from the parameter value in the alternative hypothesis to the extent that it is unlikely that the results obtained were due to random sampling error.

11. Based on the following output, what is the appropriate conclusion with a significance level of 0.05?

A) Reject the null hypothesis because the p-value is less than the significance level.

B) Fail to reject the null hypothesis because the p-value is less than the significance level.

C) Reject the null hypothesis because the p-value is greater than the significance level.

D) Fail to reject the null hypothesis because the p-value is greater than the significance level.

12. How many Penn State World Campus Stat 200 students know how to compute a test statistic for proportions? On a recent midterm, 307 out of 330 students correctly computed a test statistic. What's the test statistic for this proportion if you would like to test if the population proportion is lower than 0.95?

A) z = -1.64

B) z = -0.02

C) z = 0.01

D) z = 0.93

13. At a company that produces dental cements, a scientist wants to determine whether teeth from cattle can be used in strength tests instead of teeth from people to save money during development of new formulas. The scientist knows that the mean adhesive strength for a particular dental cement is 18 MPa for human teeth. The scientist collects a random sample of 33 cattle teeth and tests the adhesive on them. The sample mean strength is 15 MPa. The sample standard deviation is 6 MPa. The scientist tests the alternative hypothesis that the adhesive strength on the cattle teeth is different from the known adhesive strength for human teeth. What is the value of the test statistic?

A) t = -0.5

B) t = 0.5

C) t = 2.87

D) t = -2.87

14. Researchers are working to determine whether a new process increases the mean lifetime of automobile tires relative to a current specification. The researchers choose a p-value of 0.05. For 1 particular sample, the resultant data show that the lifetime increased when, in reality, the tires will not last longer on average than the current specification. Which of the following occurred in this scenario?

Researchers are working to determine whether a new process increases the mean lifetime of automobile tires. For one particular sample, the resultant data showed that the lifetime increased when, in reality, the tires will not last longer on average than the current specification. Which of the following occurred in this scenario?

A) Type I error

B) Type II error

C) Correct decision

15. At a forest products company, a sample of 56 boards is cut into two pieces. One half receives an existing weather-resistance treatment while the other half receives a new weather-resistance treatment. The boards are placed in a chamber where they are exposed to levels of heat, moisture, and radiation. The strength of the boards is then measured. The mean of the differences is 1.94 with a standard deviation of 4.8. What is the value of the test statistic?

A) t = -3.02

B) t = 22.40

C) t = -22.40

D) t = 3.02

16. A group of statistics students wanted to know if male and female college soccer players were different heights on average. The students took a random sample of 15 male and 15 female college soccer players, measured their heights, and conducted a two-tailed independent t-test. Their results were a t test statistic (df=28) of 3.13 and a p value of .0041. With an alpha level of .05, what is the correct conclusion in relation to their research question?

A) Reject the null hypothesis. There is evidence that in the population male and female college soccer players have different mean heights.

B) Fail to reject the null hypothesis. There is evidence that in the population male and female college soccer players have different mean heights.

C) Fail to reject the null hypothesis. There is not evidence that in the population male and female college soccer players have different mean heights.

D) Reject the null hypothesis. There is not evidence that in the population male and female college soccer players have different mean heights.

17. Which of the following is TRUE about hypothesis testing?

A) The test statistic is a population parameter.

B) Results are said to be statistically significant when the p value is greater than the alpha level.

C) Hypotheses are statements about the sample(s).

D) Hypothesis testing uses information from a sample to make an inference about a population.

Reference no: EM131132210

Questions Cloud

Which variable had the bigger percentage change : Track consumption and investment around 2000 and 2001. From Table 1.1.1, which variable had the bigger percentage change around this time? Compare non-residential fixed investment with overall investment. Which variable had the bigger percentage c..
Which of the following is not included the definition : Which of the following is not included the definition of earnings persistence?  A) Stability of the earnings. B) Magnitude of the earnings. C) Predictability of the earnings. D) The earnings’ trend.
Landscaping business under the name lofty lawns : Larry Land establishes a landscaping business under the name "Lofty Lawns." The business handles lawn care and seasonal flowers for apartment complexes, condominium associations, and homeowner associations. Larry wants to keep labor costs, legal liab..
Explore what it means to be human in a virtual world : In this week's Discussion you will use the Week 1 Notes and Readings to explore what it means to be human in a virtual world. Reference the resources in your post and response.
How would a p-value be calculated in this situation : Suppose time spent on email for employees in a normal work day is independent and normally distributed with an average of 57 minutes and standard deviation of 12 minutes. What is the standard deviation of the sample mean in a random sample of n = ..
Which of the following statements is correct concerning : Which of the following statements is correct concerning changes from year 1 to year 2 at Tripe Corp? Despite favorable changes in the tax rate return on net operating assets has decreased . Despite favorable changes in net operating asset utilization..
Illustrate the effect of such a policy mix on output : In 2001, the Fed pursued a very expansionary monetary policy. At the same time, President George W. Bush pushed through legislation that lowered income taxes.
Erikson theorized that a negative identity is one that : Erikson theorized that a negative identity is one that: - is based on little exploration of choices- represents the opposite of what is valued by one's parents - is in ìtime-out.
What surprised you about your use of technology : What surprised you about your use of technology and the kinds of technology you use? From the moment you wake up until you go to bed, you interact with helpful machines.

Reviews

Write a Review

 

Mathematics Questions & Answers

  Find the total distance traveled in km

A truck travels at a constant speed of 30.0m/s for 0.8 h. Find the total distance traveled in km.

  Find the probability for the ride who will get a seat

Find the probability that everyone who appears for the ride will get a seat.

  Integrated business communication

Students, please view the "Submit a Clickable Rubric Assignment" in the Student Center. Instructors, training on how to grade is within the Instructor Center. Assignment: Integrated Business Communication. Write a three page paper that addresses the ..

  Business communication about writing

Select a product or service for this assignment. Review Ch. 9 of Business Communication about writing effective persuasive messages. Complete the following two parts to sell the product or service to two different audiences.

  State appropriate null and alternative hypotheses for

an insurance company stated that in 1987 the average yearly car insurance cost for a family in the u.s. was 1188.nbsp

  Prime ideals-maximal ideals

Prove that if M is a maximal ideal of S and phi is surjective then phi^-1(M) is maximal ideal of R. Give an example to show that this need not be the case if phi is not surjective.

  Area of isosceles triangle

Find the largest area of an Isosceles triangle if the two equal sides are 15cm long.

  In triangle abc the measure of angle abc 51 degrees and the

in triangle abc the measure of angle abc 51 degrees and the altitude ah is congruent to median bm. what is the

  Find the x-value of the relative maxima and relative minima

Find the x-value(s) of the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) 3x5 - 80x3 + 12.

  Find the critical value for this hypothesis test

Find the critical value for this hypothesis test.

  A circular swimming pool has a diameter of 10 meters

A circular swimming pool has a diameter of 10 meters

  How many solution sets do systems of linear inequalities

require a 150-300-word response to the following discussion questionhow many solution sets do systems of linear

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd