Do the following:1)State the null and alternate hypothesis.2)Draw a picture of regions of rejection and non-rejection, and find critical value.3)Calculate a test statistic.4)Make a decision whether or not to reject thenull hypothesis. III.Nuprino, a new allergy medicine, claims people who take Nuprino have allergy reliefin an average of 15 minutes or less. To verify this claim, we question 25 Nuprinousers and find their average time to reduce allergies is 21 minutes with a standarddeviation of 8 minutes. Using a 1% level of significance, can we accept Nuprino'sclaim?IV.MetLife claims the average cost of their annuity Life Insurance program isS850/month with a standard deviation of S300/month. We survey 120 MetLifecustomers and find an average monthly cost of S881/month. At a 5% level ofsignificance, can we accept MetLife's claim?V.According to the US Dept of Transportation, 70% of car accidents occur within 25miles of a driver's home, 20% occur in distances between 25 and 50 miles, and 10%of car accidents occur in distances greater than 50 miles from their home.We examine traffic data in NYC and compare the location of the accidents to driver'shome zip codes to count the number of accidents seen in each range.Distance From Home Less Than 25mi Between 25 and 50 mi Greater than 50miof Accidents1554112Using a 10% level of significance, does our observed data match the distributiongiven by the Department of Transportation?VI.The online game "War Heroes" claims loot drops (in-game items used by certainclasses) are the same for each class in the game. A group of players counts thenumber of drops for each class they obtained and records the data below.Class# of dropsWarriorClericMage114Hunter160125130Using a 5% level of significance, does the data collected detemine if item drops foreach class are the same or not?VILCopy the following and sign your name:"I did not receive help from others nor share my exam with other students."

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Description: Do the following:1)State the null and alternate hypothesis.2)Draw a picture of regions of rejection and non-rejection, and find critical value.3)Calculate a test statistic.4)Make a decision whether or not to reject thenull hypothesis. III.Nuprino, a

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III. Nuprino, a new allergy medicine, claims people who take Nuprino have allergy relief in an average of 15 minutes or less. To verify this claim, we question 25 Nuprino users and find their average time to reduce allergies is 21 minutes with a standard deviation of 8 minutes. Using a 1% level of significance, can we accept Nuprino's claim?

III. Nuprino, a new allergy medicine, claims people who take Nuprino have allergy relief in an average of 15 minutes or less. To verify this claim, we question 25 Nuprino users and find their average time to reduce allergies is 21 minutes with a standard deviation of 8 minutes. Using a 1% level of significance, can we accept Nuprino's claim?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2156 passenger cars in a particular region, 240 had only rear license plates. Among 387 commercial trucks, 55 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.01 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. O D. Ho: P1 = P2 H1: P1 # P2 Identify the test statistic. - 1.75 (Round to two decimal places as needed.) Identify the P-value. 0.040 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. A. Fail to reject…
Solve the given problems using the hypothesis testing procedures. Also, use your Minitab to compare the computed value and attach the report.
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2138 passenger cars in a particular region, 238 had only rear license plates. Among 342 commercial trucks, 47 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. ..... a. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. A. Ho:P1 = P2 H1: P1 P2 O C. Ho: P1 = P2 H1: P1 # P2 D. Ho: P1
Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up rejecting the null hypothesis in error. True False
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When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply. 1) The chance of committing a Type II error changes from 0.10 to 0.05.2) It becomes easier to prove that the null hypothesis is true.3) It becomes harder to prove that the null hypothesis is true.4) The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis).5) The chance of committing a Type I error changes from 0.10 to 0.05.6) The chance that the null hypothesis is true changes from 0.10 to 0.05.7) The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis).
A random sample of 836 births included 433 boys. Use a 0.10 significance level to test the claim that 51.5% of newborn babies are boys. Do the results support the belief that 51.5% of newborn babies are boys? 1. Identify the null and alternative hypotheses for this test. 2. Identify the test statistic for this hypothesis test. 3. Identify the P-value for this hypothesis test. 4. Identify the conclusion for this hypothesis test. 5. Do the results support the belief that 51.5% of newborn babies are boys?
A dentist wondered if his appointments were distributed evenly from Monday to Friday each week. He took a random sample of 500 appointments and recorded which day of the week they were booked for. His results are: Day Appointment Frequency Monday Search 104 Chi Square Distribution Table MA Tuesday 118 Wednesday 119 Thursday 2 The dentist would like to use these results to conduct a x² goodness-of-fit test to determine if the distribution of appointments agrees with an even distribution using a 0.5% level of significance. SUBMIT QUESTION 94 Friday SAVE PROGRESS 65 SUBMIT
Consider the following hypothesis test. Ho: H₁ - H₂ SO Ha: M₁ - H₂ > O The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 40 7₂ = 50 X₁ = 25.4 %1 = 5.7 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 22.8 x₂ = %₂ = 6 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. -
1. Define the critical region for a hypothesis test and explain how we use it to support or reject our null and alternative hypotheses. 2. Identify and explain the influence of the three factors that affect the value of the z-score in a hypothesis test. 3.Identify the steps of a hypothesis test and what additional measure should always be included. 4. Describe the difference between type I and type II error