Forty-eight male bank supervisors were each given the same personal file and asked to judge whether the person should be promoted to a branch manager job that was described as "routine", or the file held and other applicants interviewed. The files were identical except that half of them showed that the file was that of a female
The birth weights of 50 babies at a large metropolitan hospital are recorded. If the standard deviation of the birth weights equals 2.2 pounds, find the maximum error of estimate with 95% level of confidence.
State and complete the 5 steps of Hypothesis Testing You may use the p - method or the traditional method. 1. A manufacturer makes steel rods that are supposed to have a mean length of 50 centimeters. A retailer suspects that the bars are being produced too short. A sample of 46 bars is taken and their mean length is
Research at the University of Toledo indicates that 50 percent of the students change their major area of study after their first year in a program. A random sample of 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant
Based on the provided data, you have been given the task of showing that there is a difference between gender and potato chip preferences. A colleague has obtained some sample data for you: Lays Jays Better Maid Private Label Male 16 6 5 10
3.4 A home has a solar electric system. The owner collected voltage readings from a meter connected to the electric system. Use analysis of variance at the 0.05 level of significance to test the claim that the mean voltage reading was the same for each of the different types of day. sunny days cloudy days rainy days
1. In several presidential elections, researchers' have observed a "gender gap" in which men and women vote for candidates in different proportions. Test this hypothesis by calculating X2 and Yule's Q for these frequencies from the 1998 General Social Survey: Vote by Gender Did You Vote for Clinton or Dole? Men Women
A number of minor automobile accidents occur at various high-risk interactions in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents. The county commissioners have agreed to proposed experiment. Eight intersections were chosen at random, and the
An insurance company, based on past experience, estimates the mean damage for a natural disaster in its area is $5,000. After introducing several plans to prevent loss, it randomly samples 200 policy holders and finds the mean amount per claim was $4,800 with a standard deviation of $1,300, Does it appears the prevention plans w
What is the relationship among p-value, significance level, and critical value?
1. Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. a) What is the p-value? b) What is the critical value if = 0.01? 3.What is the
In a large class, the professor has each person toss a coin 200 times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. Use the 69-95-99.7 rule to provide the appropriate response. 1) About 68% should have
Explain the difference between a left-tailed, two-tailed, and right-tailed test. When would we choose a two-tailed test? How can we tell the direction of the test by looking at a pair of hypotheses? How can we tell which direction (or no direction) to make the hypothesis by looking at the problem statement (research question)?
What is the purpose of a hypothesis test? What goes in the null hypothesis and what goes in the alternate hypothesis? Why is it inappropriate to put a sample statistic in the hypothesis? If you are testing the hypothesis H0: population proportion is .5 H1: population proportion is not .5, and you get .52 for the sample
1. What is pooled variance and why is it important? 2. Explain what interval data is and give an example: 3. Write the formula for a problem that has 2 sample populations greater than 30 and the standard deviations are known and equal: 4. Write the formula for pooled variance. 5. Please analyze the following data:
Define and discuss the following statistical terms within the context of a business example. Each answer should be one paragraph in length. 1. Statistics and descriptive statistics 2. Population and Sample 3. Cardinal, Ordinal, and Scale Data 4. Random sample, random error, sampling error 5. Qualitative variables 6
Suppose that in January 1999 it was reported that 58 percent of Americans rated the condition of the economy to be ``fairly good.'' In a Gannett News Service poll of 1003 Americans taken October 15--20, 1999, and reported in the October 31, 1999, issue of the Cincinnati Enquirer, 62 percent of those polled rated the condition of
A wine manufacturer sells Cabernet Sauvignon with a label that asserts an alcohol content of 11%. Sixteen bottles of this cabernet are randomly selected and analyzed for alcohol content. The resulting observations are: 10.8 9.6 9.5 11.4 9.8 9.1 10.4 10.7 10.2 9.8 10.4 11.1 1
A manufacturer claims that at least 99% of all his products meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. Conduct the standard hypothesis test procedure and answer the following: - What is the null hypothesis? - What is the alternate hypothesis? - What is t
The Smoky Bear Trucking Company claims that the average weight of a fully loaded moving van is 12,000 lbs. The highway patrol decides to check this claim. A random sample of 29 Smoky Bear moving vans shows that the average weight is 12,100 lbs with a standard deviation 800 lbs. Construct a hypothesis test to determine whether
A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A random sample of 16 cans of this soft drink, which were checked for calories, contained a mean of 31.8 calories with a standard deviation of 3 calories. Assume that the number of calories in 12-ounce soda cans is normal
Question: For i = 1,...,s and j = 1,...,ni , let Xij be independent with Xi,j having distribution Fi , where Fi is an arbitrary distribution with mean i and finite variances 2 that vary for each Fi......
1. What is the purpose of a Hypothesis Statement? 2. Null Hypothesis = H0 or H1 (circle one) Alternate Hypothesis = H0 or H1 (circle one) 3. What does ∑ mean and do? 4. Explain Alpha. 5. Are the Null and Alternate Hypothesis mutually exclusive? Y / N (circle one) 6. What are the generally accepted le
The space shuttle Challenger was in launch position the morning of January 28, 1986, with seven astronauts and passengers on board. Just prior to the launch, sheets of ice clung to the fuselage. Moments later, with national television coverage as it blasted into orbit, the shuttle disintegrated in a catastrophic explosion. The
1. A coin was flipped 60 tikes and came up heads 38 times. A) At the .10 level of significance is the coin biased towards heads? Show your decision rule and calculations. B) Calculate a p-value and interpret it. 2. The web based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they
1. Babsie is a public affairs specialist at Park University. A press release issued by Babsie based on some research claims that Park University students study at least as much as the national average for students at four year universities. Across the nation, 73 percent of all students at four year universities study at least fo
1. What is the difference between one-tail and two-tail test? Explain by using your own example. 2) SUPPOSE BABSIE GENERATED THE FOLLOWING PROBABILITY DISTRIBUTION X P(X) 5 0.25 7 0.3 10 0.25 12 0.05 15 0.15 A) Is this probability distribution discrete or continuous? Explain your reasoning. B) Calculate the e
Describe the results of a hypothesis test of one population mean or population proportion. Be sure to include the following in your answer: 1. Formulate both a numerical and verbal hypothesis statement regarding your research issue. 2. Perform the five-step hypothesis test on data pertaining to your selection. Step 1:
Cash withdrawals (in multiples of $20) at an on-campus ATM for a random sample of 30 Fridays and 30 Mondays are shown below. At alpha = .01, is there a difference in the mean ATM withdrawal on Monday and Friday? (a) Make stacked dot plots of the data (a sketch is OK). (b) State the hypotheses. (c) State the decision rule a
High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as "Low" (under 88 decibels), "Medium" (88 to 91 decibels), or "High" (92 decibels or more). There