State University uses thousands of fluorescent light bulbs each year. The brand of bulb it currently uses has a mean life of 1000 hours. A competitor claims that its bulbs, which cost the same as the brand the university currently uses, have a mean life of more than 1000 hours. The university has decided to purchase the new brand if, when tested, the evidence supports the manufacturers's claim at the 0.05 significance level. Suppose 64 bulbs were tested will the following results ī = 1027.5 hours, s = 80 hours. d. Find the rejection region for the test using a = 0.05. e. Find the p-value for the test. f. Make the appropriate conclusion using the rejection region. g. Make the appropriate conclusion using the p-value.

A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =

An investigator is using a chi-square test to compare the proportion of patients with a successful recovery after receiving one of 4 treatments.  There were 25 subjects in each group. What is the critical value for testing no association or treatment and response?

A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…

#25). Both photos are the same problem.

An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who work while sitting. Which of the following is an appropriate inference procedure for the study? A A one-sample t-interval for a population mean A one-sample t-interval for a sample mean A matched pairs t-interval for a mean difference D A two-sample t-interval for a difference between sample…

It has been found that 25.1% of men (Group 1) 20 years and older suffer from hypertension (high blood pressure) and 33.9% of women (Group 2) are hypertensive. A random sample of 164 of each gender was selected from recent hospital records, and the following results were obtained. Can you conclude that a higher percentage of women have high blood pressure? Use =0.05. Men: 42 patients had high blood pressure Women: 52 patients had high blood pressure   Required: Test Value Only the final answer should be rounded-off to TWO decimal places.

A bank conducts a survey in which it randomly samples 400 of its customers. The survey asks the customers which way they use the bank the most: (1) interacting with a teller at the bank, (2) using ATM's or (3) using the bank's online banking service. It also asks their level of satisfaction with the service they most often use (on a scale of 0-10 with 0= very poor and 10=excellent). Does mean satisfaction differ according to how they most use the bank?  a) Identifying notation, state the null hypothesis and alternative hypothesis for conducting an ANOVA with data from the survey.  b) Report the df values for this ANOVA. Above what F statistic values give a P=value below 0.05? c) For the data, F=0.46 and the P-value equals 0.63. what can you conclude?  d)What were the assumptions on which the ANOVA was based? Which assumption is the most important?  e) based on answer C, do you think it is necessary to conduct Tukey's multiple comparisons? Why or why not?

A survey of the population of 51 students in Psych 311 asks how many credits students are taking and obtains the following normally-distributed results: ∑ X= 686 and ∑X2= 9832.92. Using this information, answer the following three questions.  What is the percentile rank of a student who is enrolled in 15 credits? (Hint: This is the same thing as asking “what percentage of students is enrolled in 15 credits or less?”) MUST SHOW WORK FOR THIS PROBLEM What percentage of students are enrolled in between 12 and 18 credits? (MUST SHOW WORK FOR THIS PROBLEM) What is the 25th percentile? (Hint: This is the same as asking what score separates the bottom 25% of the distribution from the top 75%.) MUST SHOW WORK FOR THIS PROBLEM

Suppose an experiment finds that people taking a new herbal remedy get fewer colds than people taking a placebo.  The results are statistically significant at the 0.01 level.  Has the experiment proven that the herbal remedy works?