Scenario: The mean score for all high school seniors taking a college entrance exam is 500. Advocates for a charter school boast that their program helps to increase student exam scores. For a random sample of 100 students from the charter school, the mean exam score is 516 with a standard deviation of 90. Test the school's claim that their program improves student test scores. Question: Is the charter school correct in their claim? In a short paragraph, formulate the correct conclusions for this test given the results above. In your answer, make sure to address both the null and alternative hypotheses, as well as the charter school's claim.
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- Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720 . She finds that a random sample of 120 people had a mean FICO score of 740 with a standard deviation of 90 . Can the economist conclude that the mean FICO score is greater than 720 ? Use the =α0.01 level of significance and the P -value method with theMany people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 11.25 hours with a standard deviation of 3.3 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed. (a) Find the probability that with heavy use, the battery life exceeds 12 hours. (Round your answer to four decimal places.)(b) You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone? (Round your answer to the nearest tenth of an hour.) hoursIn simple terms that a normal person can understand. What is population deviation and sample diviation? If population deviation is greater than sample deviation, what does it mean? Pls. In simple terms
- Logan and Brian began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Logan took a test in Art History and earned a 76.8, and Brian took a test in English and earned a 68.9. Use the fact that all the students' test grades in the Art History class had a mean of 71.9 and a standard deviation of 11.6, and all the students' test grades in English had a mean of 61 and a standard deviation of 9.4 to answer the following questions.a) Calculate the z-score for Logan's test grade.z=z= [Round your answer to two decimal places.] b) Calculate the z-score for Brian's test grade.z=z= [Round your answer to two decimal places.]c) Which person did relatively better? Logan Brian They did equally well.An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills. The overall student population is less than what is reported at the state level" The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. a. State the null (H0) and alternative (Ha) hypotheses. b. Give the standard score for the data. c. Find the P-value for this significance test. e. Sketch your results on the standard Normal distribution f. Summarize the conclusion in the context of this problem.... ... ... ..
- Christin ently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mmHg). Christine believes the value is actually higher. She bases her belief on a recently reported study of 14 randomly selected, elderly females. The sample mean systolic blood pressure was 129 mmHg, and the sample standard deviation was 22 Español mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.05 level of significance, can it be concluded that u, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H . H, :0…A car insurance company tells its prospective customers that they can save an average of at least $100 per year by switching to their insurance company. Studies reveal that 130 random prospective customers would save an average of $97.50 per year with a standard deviation of $27.50. Is the insurance company's claim believable? Your response should include your decision and conclusion in context of the scenario. Answer in complete sentences and be sure to include all relevant calculations.Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 40 people had a mean FICO score of 760 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the a = 0.05 level of significance and the P-value State the appropriate null and alternate hypotheses. Compute the value of the test statistic. Round the answer to at least three decimal places. Input the correct interval for the P-value. Determine whether to reject H0 State a conclusion.
- Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 85 people had a mean FICO score of 750 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the α = 0.05 level of significance and the P-value method and Excel. (a) State the appropriate null and alternate hypotheses. Ho: H₁: This hypothesis test is a (Choose one) test. left tailed right-tailed two tailedI need help with homewrok questions!! Bil-Jac is a family-owned and -operated pet food company with its headquarters in Medina, Ohio. This is where Bil-Jac products are formulated and produced, made exclusively by the Kelly Foods Corporation. Bil-Jac weighs bags of dog food prior to shipment to stores. The bags of dog food have a population mean of 25 pounds, and a population standard deviation of 0.75 pounds. Based on a sample size of 64 bags, the probability that the average weight of the bags will exceed 25.18 lbs. is . Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules. Based on a sample size of 64 bags, the probability that the average weight of the bags will be between 24.76 and 24.82 lbs. is . Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional…A college admissions officer believes that students enrolling from Shawnee school District have higher SAT scores than those who enroll from West River School District. A sample of 30 students from each district is selected. The average SAT score for the group from the Shawnee district is 656 with a standard deviation of 100. The average SAT score for the group from the West River district is 560 with a standard deviation of 90. Is the belief of the admissions officer substantiated?