1. Researchers want to find out that the average heart rate of male college students is greater than 75. Assume a random sample of 80 male college students were taken for the study. The sample mean was 79.8 and the population standard deviation is known to be 49.85. Carry out the hypothesis test. (a) State the appropriate hypothesis (b) What is the standardized test statistics? (c) What is the null đistribution of the TS? (d) What is the rejection region for the test? (e) Is the test significant at a = 0.05? (f) What is the p-value?
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- I need help with thisWithdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a special type of painkiller, withdrawal symptoms occur in 5% of the cases. Consider a random sample of 1900 people who have stopped using the painkiller. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people in the sample who experience withdrawal symptoms. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.04), which is the probability that fewer than 4% of those sampled experience withdrawal symptoms. Round your answer to four decimal places.You are testing the claim that the mean GPA of night students is different than the mean GPA of day students.You sample 25 night students, and the sample mean GPA is 2.57 with a standard deviation of 0.83You sample 45 day students, and the sample mean GPA is 2.12 with a standard deviation of 0.49Calculate the test statistic, rounded to 2 decimal places
- You are testing the claim that the mean GPA of night students is greater than the mean GPA of day students.You sample 40 night students, and the sample mean GPA is 2.28 with a standard deviation of 0.44You sample 60 day students, and the sample mean GPA is 2.16 with a standard deviation of 0.43Calculate the test statistic, rounded to 2 decimal placesPLEASE HELP ME ANSWER THIS EXISTED PROBLEM AND FOLLOW INSTRUCTIONS!The number of peanuts in a 16 ounce can of nut munchies is normally distributed with a mean of 93.6 and a standard deviation of 4.2 peanuts the number of peanuts in a 20 ounce can of gone nuts is normally distributed with a mean of 111.8 and a standard deviation of 3.4 peanuts. (a) Carmen purchased a 16 ounce can of nut munchies and counted 100 peanuts what is the Z score for this can of peanuts? (b) Angelo purchased a 20 ounce can of gone nuts and counted 116 peanuts what is the Z score for this can of peanuts? (c) Carmen declares that purchase purchasing her can of nut munchies with 100 peanuts is less likely than Angelo purchasing a can of gone nuts with 116 peanuts is Carmen statement correct? Use the definition of a Z score to support or refute Carmen's claim.
- You are testing the claim that the mean GPA of night students is less than the mean GPA of day students.You sample 25 night students, and the sample mean GPA is 2.06 with a standard deviation of 0.78You sample 35 day students, and the sample mean GPA is 2.27 with a standard deviation of 0.68Calculate the test statistic, rounded to 2 decimal placesA somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 47 hours and that the standard deviation is 6 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ x Н. : H₁ : (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) (c) Suppose the true mean number of hours worked by software engineers is 49 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) when, in fact, is (Choose one) ▼the hypothesis that μ is (Choose one) (Choose one) OA somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now less than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 39 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H₁ that should be used for the test? H : μ 2 44 0 H₁ : µ < 44 1 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? Type I (c) Suppose the true mean number of hours worked by software engineers is 44 hours. Fill in the blanks to describe a Type I error. A Type I error would be when, in fact, μ is the hypothesis that u is 3 OYou are testing the claim that the mean GPA of night students is greater than the mean GPA of day students.You sample 20 night students, and the sample mean GPA is 2.1 with a standard deviation of 0.57You sample 30 day students, and the sample mean GPA is 1.96 with a standard deviation of 0.58Calculate the test statistic, rounded to 2 decimal placesYou are testing the claim that the mean GPA of night students is greater than the mean GPA of day students.You sample 40 night students, and the sample mean GPA is 2.97 with a standard deviation of 0.31You sample 30 day students, and the sample mean GPA is 3.02 with a standard deviation of 0.62Calculate the test statistic, rounded to 2 decimal placesA somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, H, is now less than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 40 hours and that the standard deviation is 5 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 OSO H :0 D=0 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) ? (c) Fill in the blanks to describe the Type II error that could occur if the true mean number of hours worked by software engineers is 38 hours. A Type II error would be (Choose one) v the hypothesis that l is (Choose one) (Choose one) when, in fact, H is (Choose one)Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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