what is the P-value for testing the hypotheses H0 :μdiff = 0; Ha :μdiff > 0?
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In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students at random who have already taken the exam. The students are enrolled in a six-week prep course to improve their scores. After the prep course, the students take the college-entrance exam again. The mean difference (first –second) in exam scores is –1.75 points with a standard deviation of 7.12 points. Assuming the conditions for inference are met, what is the P-value for testing the hypotheses H0 :μdiff = 0; Ha :μdiff > 0?
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- Online customer service is a key element to successful online retailing. According to a marketing survey, 30% of online customers take advantage of the online customer service. Assume the population proportion of those who use online customer service is 0.30. Random samples of 100 customers are selected. What is the standard deviation of the sampling distribution of the proportion?According to a November 2014 Winthrop poll, of 852 polled SC residents, 222 of them said they plan to spend less on gifts this holiday season. Suppose 30% of all SC residents will spend less this holiday season. Identify the standard deviation of (all possible) sample proportions for SC resident who will spend less.a small company is looking to see if they have reached their goal of $30.20, in saving per family. To see if goal was met their goal they randomly surveyed 50 of their 1000 customers, found that they saved average of $32.12 with a standard deviation of $4.83. Have they attained their saving goal.
- The president of an all-female school wants to know if the students at her school studied more or less, on average, than the students at a neighboring all-male school. To find out, she conducted a study. Accordingly, samples were taken at each school with the following results: All female: sample size = 43, mean study time ( hours) = 18.56, standard deviation (hours) = 4.35 All male: sample size = 38, mean study time (hours) =17.95, standard deviation (hours) = 4.87 Calculate the 95% confidence interval for the differences between population means. Use brackets write the final answer [x.xx, x.xx]A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $205. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards? Carry out a hypothesis test using a significance level of 0.01. State the appropriate null and alternative hypotheses. H0: ? = 907 Ha: ? < 907 H0: ? = 907 Ha: ? > 907 H0: ? < 907…According to the Statistical Abstract of the United States, the mean family size in 2010 was 3.14 persons. Suppose a random sample of 225 families taken this year yields a sample mean size of 3.05 persons, and suppose we assume the population standard deviation of family sizes is o = 1 person. Using a 5% significance level, test the hypothesis that the mean family size has decreased since 2010. Perform your hypothesis test, and select the best interpretation of your results from the choices below. Select one: O a. At the 5% level of significance the data are statistically significant. We cannot determine the average family size has decreased since 2010. O b. At the 5% level of significance the data are statisticall significant. We can determine the average family size has decreased since 2010. O c. At the 5% level of significance the data is not statistically significant. We cannot conclude the average family size has decreased since 2010. O d. At the 5% level of significance the data…
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- Unoccupied seats on flights cause avrlines to lose revenue. As an intern in the finance department for Golden Ticket Airlines, Carlos is tasked with estimating the average number of unoccupied seats per flight over the past year. To accomplish this, the records of 222 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 18 seats and the standard deviation is 2.5 seats. Construct a 80% confidence interval for the population mean number of unoccupied seats per flight during the past year. If necessary, round results to 1 decimal places.A school psychologist was interested in whether students in the chess club scored above or below the mean grade point average (GPA) at her school. She calculated the overall average GPA at the school to be 2.55 with a standard deviation of 0.5 and noted that the distribution was approximately normal. She then figured the average for the 30 students in the chess club. Their mean GPA was 2.76. a. Using the five steps of hypothesis testing, was the group of 30 chess club students' GPA different from students in general at this school? (Use the .05 significance level.) Be sure to sketch the distributions involved. Be sure to fully state the five steps and show ALL calculations/work. b. Additionally, explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. (Be sure your explanation includes a discussion of the…According to the Bureau of Labor Statistics, the mean salary for registered nurses in Kentucky was $55,130. The distribution of salaries is assumed to be normally distributed with a standard deviation of $5,778. Someone would like to determine if registered nurses in Ohio have a greater average pay. To investigate this claim, a sample of 220 registered nurses is selected from the Ohio Board of Nursing, and each is asked their annual salary. The mean salary for this sample of 220 nurses is found to be $55,504.488. Completely describe the sampling distribution of the sample mean salary when samples of size 220 are selected. mean: μ x-bar = ____ standard deviation: σ x-bar = ____ shape: the distribution of is ____________(not normally distributed/normally distributed) because ___________ (the sample size is large/the sample size is not large/the population of salaries is normally distributed/the population of salaries is not normally distributed)
