possible probability in an experiment?
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- A machine is set to fill the small-size packages of M&M candies with 56 candies per bag. A sample revealed four bags of 56 candies, two bags of 57 candies, two bags of 55 candies, and three bags of 58 candies. To test the hypothesis that the mean candies per bag is 56, how many degrees of freedom are there?The dean of a major university claims that the mean number of hours students study at her university (per day) is at most 5.6 hours. If a hypothesis test is performed, how should a decision that fails to reject the null hypothesis be interpreted?Match the description of paired charctereristics in the answer bank to the most reasonable description of the correction between them.
- What conclusion may be drawn witha5% significance?A professor found out from a senior professor that engineering students in Harp University tend to do good in their Engineering Management subject, claiming that historically, the mean grade of engineering students in the said course is 1.50. Curious if this claim was true, the professor took a random sample of 9 students who took the engineering management subject. Before collecting data, he was undecided about his own claim because he knew of some students who did really good in the course but has also encountered others who did poorly. He found that their mean grade for the course is 1.35 with a standard deviation of 0.50. Use the Test of Significance Approach in testing the professor’s claim. a. Estimate population mean at 90% confidence interval. b. Between z and t, which is more appropriate to use given the data? Why? c. What are the chances that your estimate of population mean was wrong? Describe and explain a potential source of error to your estimate. d. Holding % of CI…The dean of a major university claims that the mean time for students to earn a Master's degree is at most 5.2 years. Write the null hypotheses.
- A principal of high school was concerned with amount of time her students devote to working at after-school jobs. She randomly selected 25 students, obtained their working _hours for 1 week and computed X = 12.5 hours and s = 3.9 hours. She claims that her students work significantly more than the mean of 10.7 hours from a study conducted by the National Association of State High School Association. Test her claim by using the 5% level of significance.A hospital found out that there is a higher incident of food poisoning in adults than in children. Thirty -four of the 250 adults and 16 of 275 children were food poisoned according to the hospital survey. Determine if there is enough evidence to believe the hospital claim. Use a 2.5% significance level.The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 4.4 hours. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? a.There is sufficient evidence to reject the claim μ ≤ 4.4. b.There is not sufficient evidence to reject the claim μ ≤ 4.4. c.There is not sufficient evidence to support the claim μ ≤ 4.4. d.There is sufficient evidence to support the claim μ ≤ 4.4.
- A newsletter publisher believes that 29% of their readers own a laptop. Is there sufficient evidence at the 0.05 level to refute the publisher's claim? State the null and alternative hypothesis for the above scenarioOut of 600 customers, 360 like the new plastic bottle packaging of a certain softdrink. Is there sufficient evidence that the proportion of the customers/buyers who like the new packaging is not equal to 50% at 0.02 level of significance? a) What is the null and alternative hypothesis? b) What is the correct decision? c) State the conclusion20% of 1000 respondents to a telephone poll said they favored green beans over spinach. a. Find a 98% C.I. for the proportion of people who favor green beans over spinach.b. What is the Error Bound of the Mean (EBM).____________________________________________c. What sample size is required to limit the EBM to .02 or less?______________________