A local chess club claims that the length of time to play a game has a mean of more than 44 minutes. Write sentences describing type I and type ll errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is V 44 minutes, but you the null hypothesis, A type Il error will occur if the actual mean of the length of time to play a game is 44 minutes, but you the null hypothesis,
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Q: A psychologist is interested in constructing a 90% confidence interval for the proportion of people…
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- local chess club claims that the length of time to play a game has a mean of 58 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim.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?An academic Professor conducted a research aimed at exploring the experience andchallenges faced by people who are diagnosed with dementia and their families. If theprofessor perform a hypothesis test to decide whether the mean age of all people diagnosiswith initial occurrence of dementia is less than 55 years old. Based on the statement, explain,what each of the following would mean.i) Type I error.ii) Correct decision.iii) Type II error.
- A prominent travel agency claims that the mean cost of a four-day theme park vacation is $1500 per person. A researcher believes that the mean cost is much higher and decided to test the theory with a hypothesis test. According to the sample obtained, the decision is to fail to reject the null hypothesis. If, in reality, the mean cost of a four-day theme park vacation is $1500, was an error made with this hypothesis test? If so, what type?An academic Professor conducted a research aimed at exploring the experience and challenges faced by people who are diagnosed with dementia and their families. If the professor perform a hypothesis test to decide whether the mean age of all people diagnosis with initial occurrence of dementia is less than 55 years old. Based on the statement, explain, what each of the following would mean.i) Type I error. ii) Correct decision. iii) Type II error.A magazine reported that at the top 50 business schools in a region, students studied an average of 18.1 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 18.1 hour benchmark. State the null and alternative hypotheses.
- A researcher hypothesizes that opera music will have an effect on test scores (but she is unsure whether they will increase or decrease). On a standardized reasoning test, known to have mu = 70 and sigma = 10, she has a sample of 30 subjects complete the test while listening to opera music. She then tallies up their scores, and finds a mean score for her sample of 66. Go through the steps of hypothesis testing and make a conclusion for the researcher about her experiment. Use a significance level of .05 (two-tailed). Sketch the chance distribution and shade your critical region.The human resources department of a large investment bank announced that the number of people it interviews monthly has a mean of 105, with a variance of 262.44. The management of the bank suspects that the variance exceeds 262.44. Suppose that the management wants to take a small sample of months and carry out a hypothesis test to see if it's suspicious have support. State the thanks hypothesis Ho and alternative hypothesis H1 that it would use for this test.A new stockbroker (XYZ) claims that his brokerage fees are lower than that of your current stock broker's (ABC). Data available from an independent research firm indicates that the mean and std-dev of all ABC broker clients are $18 and $6, respectively. A sample of 100 clients of ABC is taken and brokerage charges are calculated with the new rates of XYZ broker. If the mean of the sample is $18.75 and std-dev is the same ($6), can any inference be made about the difference in the average brokerage bill between ABC and XYZ broker? An analyst believe that the average return of all Ghana stock was greater than 4. The sample size of 36 observation with a sample mean of 5 and the population standard deviation is 2. Will the analyst reject the null hypothesis at 5% level of significance? (p-value approach)
- A new stockbroker (XYZ) claims that his brokerage fees are lower than that of your current stock broker's (ABC). Data available from an independent research firm indicates that the mean and std-dev of all ABC broker clients are $18 and $6, respectively. A sample of 100 clients of ABC is taken and brokerage charges are calculated with the new rates of XYZ broker. If the mean of the sample is $18.75 and std-dev is the same ($6), can any inference be made about the difference in the average brokerage bill between ABC and XYZ broker?The mean age of a bus driver in Chicago is 47.4 years. If a hypothesis test is performed to test the validity of this statement, how should you interpret a decision that rejects the null hypothesis?According to a 2018 report, the mean amount of data used by all smartphone users with unlimited data plans was 4.87 GB per month. A company would like to determine if the mean amount of data used per month by smartphone user is lower that it was in 2018. In order to investigate the issue, random sample of 670 smartphone users was selected.Determine the null and alternative hypotheses:H0:H0: HA:HA: A Type I error in the context of this problem would be: A Type II error in the context of this problem would be