Identify the null hypothesis and the alternative hypothesis

Assignment Help Basic Statistics
Reference no: EM131050650

In a study of memory recall, 5 people were given 10 minutes to memorize a list of 20 words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24 hours later. The result is shown in the following table.

 

Number of Words Recalled

Subject

1 hour later

24 hours later

1

14

12

2

18

15

3

11

9

4

13

12

5

12

12

Is there evidence to suggest that the mean number of words recalled after 1 hour exceeds the mean recall after 24 hours?

Assume we want to use a 0.10 significance level to test the claim.

(a) Identify the null hypothesis and the alternative hypothesis.

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.

STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL4 Page 6 of 7

(d) Is there sufficient evidence to support the claim that the mean number of words recalled after 1 hour exceeds the mean recall after 24 hours? Justify your conclusion.

In a study designed to test the effectiveness of acupuncture for treating migraine, 100 patients were randomly selected and treated with acupuncture. After one-month treatment, the number of migraine attacks for the group had a mean of 2 and standard deviation of 1.5. Construct a 95% confidence interval estimate of the mean number of migraine attacks for people treated with acupuncture. Show all work. Just the answer, without supporting work, will receive no credit.

In a pulse rate research, a simple random sample of 40 men results in a mean of 80 beats per minute, and a standard deviation of 11.3 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of men have a standard deviation greater than 10 beats per minutes. Use a 0.05 significance level to test the researcher's claim..

(a) Identify the null hypothesis and alternative hypothesis.

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the researcher's claim? Explain.

A survey showed that 80% of the 1600 adult respondents believe in global warming. Construct a 95% confidence interval estimate of the proportion of adults believing in global warming. Show all work. Just the answer, without supporting work, will receive no credit.

A study of 10 different weight loss programs involved 500 subjects. Each of the 10 programs had 50 subjects in it. The subjects were followed for 12 months. Weight change for each subject was recorded. Mimi wants to test the claim that the mean weight loss is the same for the 10 programs.

(a) Complete the following ANOVA table with sum of squares, degrees of freedom, and mean square (Show all work):

Source of Variation

Sum of Squares (SS)

Degrees of Freedom (df)

Mean Square (MS)

Factor

Factor

 

 

Error (Within)

 

 

Total

1100.76

 

N/A

 

 

 

 

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the claim that the mean weight loss is the same for the 10 programs at the significance level of 0.05? Explain.

Assume the weights of men are normally distributed with a mean of 172 lbs and a standard deviation of 30 lbs. Show all work. Just the answer, without supporting work, will receive no credit.

(a) Find the 90th percentile for the distribution of men's weights.

(b) What is the probability that a randomly selected man weighs more than 185 lbs?

Reference no: EM131050650

Questions Cloud

Question regarding the archaeology : Arrowheads The Wind Mountain archaeological site is in southwest New Mexico. Prehistoric Native Americans called Anasazi once lived and hunted small game in this region.
Create one example using forecasting did better decision : Discuss the process, noting if an assumption was more challenging than expected- such as obtaining data or formulating the forecast. Additionally, share or create one example where using forecasting did or could have led to a better decision.
Zero-interest-bearing note to brown company : Samson Corporation issued a 4-year, $75,000, zero-interest-bearing note to Brown Company on January 1, 2014, and received cash of $47,664. The implicit interest rate is 12%. Prepare Samson's journal entries for (a) the January 1 issuance and (b) ..
Estimate the fraction of defective parts : How many units would have to be sampled to be 95% confident that you can estimate the fraction of defective parts within 2% (using the information from today's sample--that is using the result that )?
Identify the null hypothesis and the alternative hypothesis : Assume we want to use a 0.10 significance level to test the claim. (a) Identify the null hypothesis and the alternative hypothesis. (b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will r..
Journal entries to record the issuance of the note : Coldwell, Inc. issued a $100,000, 4-year, 10% note at face value to Flint Hills Bank on January 1, 2014, and received $100,000 cash. The note requires annual interest payments each December 31. Prepare Coldwell's journal entries to record (a) the ..
Ecompute the payroll deductions for employee fringe benefits : Observe the segregation of duties concerning personnel responsibilities and payroll disbursement.
Worried about having enough money for retirement : Of the 1060 surveyed,568 stated that they were worried about having enough money for retirement. Construct a 95% confidence interval for the proportion of adults who are worried about having enough money for retirement.
Research and analyse the share price history of dsh : Research and analyse the share price history of DSH from its launch to the date of administration and estimate the (beta) for DSH using data from its launch on the ASX in 2013 to June 30 2015.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Question a black and red die are thrown and let x be a

question a black and red die are thrown and let x be a random variable denoting the sum of the dice.a. find all sample

  Proportion of time is the system shut down

(a) What proportion of time is the system shut down? (b) What is the (limiting) averaging number of components that are being repaired?

  Problem related to deer in a region carry a certain tick

Biologist estimates that 50% of the deer in a region carry a certain type of tick. For a sample of 300 deer selected at random, what is the chance that 155 or fewer deer have this tick?

  She is also interested in seeing whether a gender

question a researcher decides to test her hypothesis that some toys are more fun to play with than others so she

  Information regarding poisson probability

What type of probability distribution is appropriate for this problem? Determine the probability of getting no calls between eight and nine in the morning. Calculate the probability of getting exactly five calls between eight and nine in the morning

  What is the level of significance

a) What is the level of significance? b) What is the value of the sample test statistic? (Round your answer to three decimal places.) c) Find the P-value. (Round your answer to four decimal places.)

  What is the approximate percentage of girls between 1244 cm

the mean height of 8 year old girls in my daughters school is 125 cm with a standard deviation of 0.3 and the height

  Small and large samples

If a random sample of 10 people found that 9 were pro-life (i.e., 90%), while another random sample of 1000 people from the same population found that 550 were pro-life (i.e., 55%), which would you find more significant? Why?

  Explore how the average number of hours a student studies

Explore how the average number of hours a student studies per night and the students GPA affect their ACT score.

  Sine and cosine that are generic over ordinary numbers

Suppose we want to handle complex numbers whose real parts, imaginary parts, magnitudes, and angles can be either ordinary numbers, rational numbers, or other numbers we might wish to add to the system.

  Various forms of disclosure

Discuss the various forms of disclosure available in published financial statements.

  Comparing two population variances

If a random sample of 5 observations from one population results in a standard deviation of 12 and the other random sample of 7 observations results in a standard deviation of 7.

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