Directions: Read the following problems and place all your answer on a separate sheetfollowing the given table below each problem. Draw the normal curve and show therejection region. for each problem and make a decision for your hypothesis.A survey reports a customer in the drive thru lane of one fast food chain spends eightminutes to wait for his/her order. A sample of 24 customers at the drive thru laneshowed mean of 7.5 minutes with a standard deviation of 3.2 minutes. Is the waitingtime at the drive thru lane less than that of the survey made? Use 0.05 significancelevel. What decision will you take for your hypothesisHypothesisTestPopulationStandardKnown/UnknownNumber of z-value ort-valueLevel ofНурothesesDecisionSignificance Sample-30 -20-lo1o2030

Given : μ = 8x = 7.5s = 3.2n = 24α = 0.05

Answered: A survey reports a customer in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is $45,661, but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 61 colleges in the state and calculate a mean salary of $43,024 with a standard deviation of $13,132. Test the instructors' claim at the 0.05 level of significance. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
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A national grocer's magazine reports the typical shopper spends 11 minutes in line waiting to check out. A sample of 21 shoppers at the local Farmer Jack's showed a mean of 10.0 minutes with a standard deviation of 2.2 minutes. Is the waiting time at the local Farmer Jack's less than that reported in the national magazine? Use the 0.050 significance level. a. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Reject 10 p2 11 and fall to reject 11 11 when the test statistic is b. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
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Utility bills for single family homes are at least $150 per month. After an improvement in infrastructure, the utility company would like to determine if the utility bills are now less than $150 per month. The next 25 utility bills averaged $145.25 per month with the sample standard deviation of $10. At 0.10 significance level, test if the bills are less than $150. 1. Which of the following (A,B,C,or D) would be the correct hypothesis statement? A. Ho: p ≤ 0.25 Ha: p > 0.25 B. Ho: >= 150 H₂: μ 150 D. Ho: M 130 H₁: μ> 130 2. The critical value is 3. The statistical value in this problem is... three decimal places 4. The p-value range associated with the test statistic from the t table is ... 5. At a 10% level of significance, will the decision be to Reject or DNR?
According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City is more than the national average, a researcher decides to do a hypothesis test, at a 1% significance level. She surveys 23 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 3.8 hours per week, and the sample standard deviation (s) is 1.1 hours. H0: μ≤3; Ha: μ>3. α=0.01 (significance level) What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)? Round your final answer to two decimal places. Provide your answer below: $$Test Statistic =
A pipes manufacturer makes pipes with a length that is supposed to be 12 inches. A quality control technician sampled 35 pipes and found that the sample mean length was 12.05 inches and the sample standard deviation was 0.13 inches. The technician claims that the mean pipe length is not 12 inches. What type of hypothesis test should be performed? Two-tailed t-test Two-tailed z-test Left tailed t-test Left tailed z-test What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist at the α=0.01 significance level to support the technician's claim? Yes or No
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Using traditional methods, it takes 11.7 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 11.3 hours with a standard deviation of 1.4 A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis. Is it reject null hypothesis or fail to reject null hypothesis
An article in the San Jose Mercury News stated that students in the California state university system take 6 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 53 students. The student obtains a sample mean of 4.1 with a sample standard deviation of 1.9. Is there sufficient evidence to support the student's claim at an �=0.1 significance level? Test the claim: Determine the null and alternative hypotheses. Enter correct symbol and value.�0: �=Incorrect��: � Correct< Incorrect Determine the test statistic. Round to four decimal places.�=Incorrect Find the �-value. Round to 4 decimals.
Water usage is closely watched in many parts of Australia. Suppose that in a summer the average household usage in Hobart is 408 litres per day. A year later it examines records of a sample of 50 households and finds that there is a daily mean usage of 380 litres with a standard deviation of 25 litres. a.Do you think the average daily water usage has been changed in the second summer? Use the 5% level of significance level for hypothesis testing. b.Because of the draught situation in Australia, after the first summer, the price of water in Hobart was increased to encourage households to reduce their water consumption. How do you evaluate the effect of increasing water prices? Use the 5% level of significance level for hypothesis testing.

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