A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, u, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate u. What is the minimum sample size needed in order for you to be 95% confident that your estimate is within 2 of u? Use the value 20 for the population standard deviation of scores on this subsection. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)

Q: The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula…

A:

Q: A cereal company claims that the mean weight of the cereal in its packets is 14 oz. Assuming that a…

A: We have given that,  Mean weight = 14 oz Then,  We will find the conclusion = ?

Q: The mean score on a widely freshman history examination is 75. A history teacher at a very large…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: The director of student services at Oxnard College is interested in whether women are more likely to…

A: Here two proportion  Z test is applicable

Q: believes that the mean to be different, she drew a random sample of 27 Assume The null hypothesis…

A:

Q: * You are testing the claim that the mean cost of a new bus is at least $25,200. How should you…

A: Null and alternative hypotheses: The hypothesis, which is pre assumed as true, tentatively settled…

Q: At 5% level of significance, using the information: X,= 47; S1= 4; n1=11; X2= 39; S2= 3; n2= 11,…

A:

Q: The mean number of sick days per employee taken last year by all employees of a large city was 10.6…

A: From question we can say that, Null Hypothesis: H0: u=10.6 Alternative Hypothesis Ha: u≠10.6

Q: The director of student services at Oxnard College is interested in whether women are just as likely…

A:

Q: Suppose we conducted a survey, and found that of 600 people sampled, 384 preferred Candidate A. We…

A: Given information: Here, there are 600 sample pf people and 384 preferred candidate. We are…

Q: Is there a difference between urban and rural jurisdictions in the hiring of female police officers?…

A: Hypothesis test consist of two statements, they are null and alternate hypothesis. Null hypothesis…

Q: The mean score on a widely freshman history examination is 75. A history teacher at a very large…

A: Data set :

Q: eshman tend to drop Statistics courses during the first week of the semester because the course…

A: Given:p0=0.3x=21n=50 The sample proportion is calculated as:p hat=x/n=21/50=0.42 The null and…

Q: A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain…

A: The given hypotheses are as follows: H0: µd = 0. Ha: µd ≠ 0.

Q: The director of student services at Oxnard College is interested in whether women are just as likely…

A:

Q: Does the amount of TV people watch have anything to do with their religion? The General Social…

A: a)Given 14 participants of the study described themselves very religious. They reported their daily…

Q: The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula…

A: Given Information: Consider Y be the number of judges stating a preference for the new formula…

Q: Suppose that you want to perform a hypothesis test for a population mean. Assume that the population…

A: The population standard deviation is unknown. The sample size is small. The shape of the…

Q: 55,000, average male's salary under 6 foot tall of $47,000, with a p-value of 0.45.  Based on that…

A: Given: p-value=0.45 We usually take the significance level as 5%, i.e, 0.05. The decision rule…

Q: A data set includes data from student evaluations of courses at a particular university. The summary…

A:

Q: The Environmental Protection Agency (EPA) has determined that safe drinking water should contain at…

A: Each hypothesis test has two type of erros. They are type 1 and type 2 error. Type 1 error explains…

Q: The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three…

A: Given: α=0.05 Let 1: Diet 2: Regular

Q: Clinical psychologists and neuropsychologists often use normative test batteries for determining…

A: Clinical psychologists and neuropsychologists often use normative test batteries for determining…

Q: Use the sample data with a 0.01 significance level to test the claim that for the population of ages…

A: Let ud is the mean value of the differences d for the population of all pairs of data, where each…

Q: A random sample of 11 adults is obtained, and each person’s red blood cell count (in cells per…

A: Given: Hypothesized mean μ=4.7 X= The red blood cell count (in cells per microliter) Sample mean…

Q: A company which designs sports shoes has made an improvement to their popular running shoe. They…

A: The null hypothesis is a statement that contains the statement of equality and the alternate…

Q: A group of students estimated the length of one minute without reference to a watch or​ clock, and…

A: We have been given that significance level is 0.05, that is α=0.05 The sample mean will be given by…

Q: Some researchers claim that herbal supplements such as ginseng or ginkgo biloba enhance human…

A: a. Null and alternate hypothesis is- H0:μ=70Ha:μ≠70Level of significance=0.05 Test statistic is…

Q: It is commonly believed that the mean body temperature of a healthy adult is 98.6∘F98.6∘F. You are…

A:

Q: a. Use the sample data with a 0.01 significance level to test the claim that for the population of…

A: Given: Actress Actor 31 64 26 40 31 38 27 37 35 27 25 31 28 53 39 36 33 37…

Q: a. Use the sample data with a 0.05 significance level to test the claim that for the population of…

A:

Q: What is the p-value of a two-sided One-Sample Z-Test for Mean where the z-statistic equals -2.03?…

A: We have given that,  Z= -2. 03 Z-score: the test statistic follows the standard normal…

Q: A researcher hypothesizes that the SUNY professors have a higher job satisfaction level than the…

A: State the hypotheses. That is, the population mean of the overall job satisfaction equals 28. That…

Q: Freshman tend to drop Statistics courses during the first week of the semester because the course…

A: From the provided information, Sample size (n) = 50 Out of which 21 actually dropped the courses.…

Q: A company which designs sports shoes has made an improvement to their popular running shoe. They…

A: From the provided information, The claim is that the mean time to run 100 meters for sprinters…

Q: The mean work week for engineers in a start-up company is believed to be about 60 hours. A newly…

A: Given Data : Data (length of mean work week): 70; 45; 55; 60; 65; 55; 55; 60; 50; 55 Standard…

Q: Suppose you intend to conduct a hypothesis test on the difference in population means. In…

A: The sample of couples with children sample 1 sample size is 39, sample mean is 51.1, and sample…

Q: A health researcher is trying to determine if a weight loss program is effective.  To do this, she…

A:

Q: Suppose that you want to perform a hypothesis test for a population mean. Assume that the population…

A: Population standard deviation is unknown. The sample size is small. The shape of the distribution is…

Q: The heart rates before and after running a race (in beats per minute) of a sample of four athletes…

A: As per honor code, we will be only answering first question. 1.4)  Null hypothesis: μAfter-Before=70…

Q: What conclusion would you make at the « = 0.01 significance level? Because the P-value of 0.0806 > a…

A: If the p-value is less than the level of significance, the null hypothesis is rejected. Because the…

Q: Executives of a supermarket chain are interested in the amount of time that customers spend in the…

A: Given data: Mean = 35 Standard deviation = 10 Sample mean = 42

Q: A consumer advocacy group tests the mean vitamin C content of 50 different brands of bottled juices…

A: GivenThe mean vitamin C content for 50 different brands of bottled juices are tested. Let the mean…

Q: Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time…

A: We know that, Test Statistic, t= (X bar -mu)/sigam/√n X bar = (summation Xi)/n Sigma=√E(X2)-mean2…

Q: A psychologist hypothesizes that the children with type K personality score higher than the children…

A: Test statistic:The t-score for two sample t-test is given by:

Q: Suppose you wish to test the claim that μd, the mean value of the differences d for a population of…

A: It is given that the, We would like to test the claim that the μd, the mean value of the differences…

Q: Assume that you want to test the claim that the paired sample data come from a population for which…

A: Given information: The bivariate data X and Y is provided as follows: X Y 7 9 3 9 4 8 1 7…

Q: Many employers are concerned about employees wasting time by surfing the Internet and e-mailing…

A: Find sample mean:

Q: A college entrance exam company determined that a score of 25 on the mathematics portion of the exam…

A:

Q: A random sample of size 21 was taken from a normal population. The sample average was 9.87 and the…

A: