Businesses such as General Mills, Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance and stimulate sales. Marketers believe that the users of paper coupons are different from the users of e-coupons accessed through the Internet. One survey recorded the age of each person who redeemed a coupon along with the type of coupon (elther paper or electronic). The sample of 21 traditional paper-coupon clippers had a mean age of 421 with a standard deviation of 5.6. The sample of 35 e-coupon users had a mean age of 36.7 years with a standard deviation of 9.5. Assume the population standard deviations are not the same. Using a significance level of 0.01, test the hypothesis of no difference in the mean ages of the two groups of coupon clients. Hint. For the calculations, assume e-coupon as the first sample. Required: a. What are the null and alternate hypotheses? O Ho: Pe-coupon traditional H: He-coupon O Ho: He-coupon * Ptraditional H: Pe-coupon Ptraditional O Ho: Pe-coupon * Ptraditional H: Pe-coupon Ptraditional b. Compute the test statistic. (Negative values should be Indicated by a minus sign. Round your answers to 2 decimal places.) Test statistic Ptraditional c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) p-value d. What is your decision regarding the null hypothesis? Reject the Ho O Fall to reject the He e. Interpret the result.

A professor using an open-source introductory statistics book predicts that 60% of the students will purchase a hard copy of the book, 25% will print it out from the web, and 15% will read it online. She has 200 students this semester. Assuming that the professor's predictions were correct, calculate the expected number of students who read the book online.

A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare the exercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects three different health centers from which to draw her samples. The 57 people she sampled who work out in the morning have a mean of 4.8 hours of exercise each week. The 56 people surveyed who exercise in the afternoon or evening have a mean of 4.2 hours of exercise each week. Assume that the weekly exercise times have a population standard deviation of 0.8 hours for people who exercise in the morning and 0.3 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening. Step 1 of 2: Construct a 95 % confidence interval for the true difference between the mean amounts of time…

The Pew Research Center Internet Project, conducted on the 25th anniversary of theInternet, involved a survey of 857 Internet users (Pew Research Center website, April 1,2014). It provided a variety of statistics on Internet users. For instance, in 2014, 87%of American adults were Internet users. In 1995 only 14% of American adults used theInternet.a. The sample survey showed that 90% of respondents said the Internet has been a goodthing for them personally. Develop a 95% confidence interval for the proportion ofrespondents who say the Internet has been a good thing for them personally.b. The sample survey showed that 67% of Internet users said the Internet has generallystrengthened their relationship with family and friends. Develop a 95% confidenceinterval for the proportion of respondents who say the Internet has strengthened theirrelationship with family and friends.c. Fifty-six percent of Internet users have seen an online group come together to help aperson or community solve a…

To identify high-paying jobs for people that do not like stress, the following data were collected showing the average annual salary ($1000) and the stress tolerance for a variety of occupations (Business Insider, November 8, 2013).

TechBuzz is an IT company that monitors the status of large data warehouses. According to TechBuzz, last year the majority of the data servers used by energy-based companies were over-utilized. A sample of 190 servers (all used by energy-based companies) showed that 142 were over-utilized, 12 were used efficiently, and 36 were underutilized. a. What is the point estimate of the proportion of the servers that were under-utilized? b. Determine the margin of error and provide a 95% confidence interval for the proportion of the servers that were over-utilized. c. What is the minimum sam

According to a retail​ organization, holiday shoppers spent an average of $935.58 over the Thanksgiving weekend in 2016. The accompanying data show the amount spent by a random sample of holiday shoppers during the same weekend in 2017. ​$1,029 ​$875 ​$969 ​$838 ​$825 ​$813   ​$962 ​$1,032 ​$990 ​$996 ​$921 ​$664   ​$1,013 ​$1,030 ​$979 ​$878         Complete parts a through c.   Test the hypothesis that shoppers spent less than an average of $935.58 over the Thanksgiving weekend in 2017 using α=0.05.

Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. (Data Source: National Center for Health Statistics.) A counseling psychologist sets out to look at the role of having children in relationship longevity. She decides to measure marital satisfaction in a group of couples with children and a group of childless couples. She chooses the Marital Satisfaction Inventory, because it refers to "partner" and "relationship" rather than "spouse" and "marriage," which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction. Assume that these scores are normally distributed. A sample of 39 couples with children scored an average of 51.1 with a sample standard deviation of 9.2 on the Marital Satisfaction…

The U.S National Center for Education Statistics publishes information about schoolenrollment in Digest of Education Statistics. According to the document, 85.8% of students attend public school,22.3% attend college and 17.1% attend public college. What percentage of students attend either public schoolor college?

A Midwest college admissions committee recently conducted a study to determine the relative debt incurred by students receiving their degrees in four years versus those taking more than four years. Some on the committee speculated a four-year student would likely be attending full time, whereas one taking more than four years could have a part-time job. However, average total debt provides only part of the information. Since the average, or mean, is affected by both large and small values, the committee also needed some way to determine the relative variances for the two groups. Samples of size 20 produced standard deviations of 2,636 for four-year graduates and 1,513 for those taking more than four years.   Conduct a test of hypothesis to determine if the standard deviation of the debt for four-year graduates is larger than those taking more than four years. Use a significance level of 0.05.