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. a. Specify the null and alternative hypotheses for determining whether the competitor's bulbs performed better. b. Interpret the value of a in the words of the problem. c. Calculate the test statistic.

3. School administrators are interested to see if computer science majors and engineering majors study the same amount of hours per week, on average. A random sample of 125 computer science majors returns a sample average of 25 hours per week and a sample standard deviation of 2 hours. Next, a random sample of 144 engineering majors returns a sample average of 22 hours with a sample standard deviation of 3 hours.

a. What are the null and alternative​ hypotheses? b. The test​ statistic, t, is  c. The​ P-value is d. State the conclusion for the test. e. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.

A newspaper publisher believes that over 47% of their readers own a Rolls Royce. For marketing purposes, a potential adveriser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis.  What is the conclusion regarding the publisher's claim? (Choose A or B) A. There is sufficient evidence at the 0.02 level of significance that the percentage is over 47%. B. There is not sufficient evidence at the 0.02 level of significance to say that the percentage is over 47%.

Answer choices for the blanks : 1. Contains or does not contain 2. Null or alternative 3. Sufficient or insufficient 4. Reject or support 5.insufficient or sufficient 6. Reject or support

aps Microsoft Word -... 12) and 13) Hypothesis testing for proportions You must show your work: 1. Clearly state the significance level, sample size, sample proportion 2. Clearly state the null hypothesis and alternative hypothesis 3. Present the test statistics (z-score) and P-value 4. Decided if the null hypothesis should be rejected for the alternative or not. 5. Write out the conclusion to the question. ► The recidivism rate for convicted sex offenders is 15%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 320 convicted sex offenders who were also drug addicts, 58 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer ✓ c. The test statistic ? = d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that…

Several studies showed that after eating a low-fat cereal for two meals a day​, subjects had lost some weight.A cereal companyfinanced this research. Identify what is wrong. Choose the correct answer below.     A. Since the research is composed of voluntary response​ samples, there may be key data points missing.   B. The data used in the studies is not reliable because it was not measured by the administrator.   C. It is questionable that the sponsor is a cereal company because this sponsor can be greatly affected by the conclusion.   D. It is not possible to take accurate measurements.

Only about 19% of all people can wiggle their ears. Is this percent different for millionaires? Of the 389 millionaires surveyed, 89 could wiggle their ears. What can be concluded at the a = 0.01 level of significance? The null and alternative hypotheses would be: Ho: ? Select an answer (please enter a decimal) Ha: ? Select an answer V (Please enter a decimal)