The price of a certain combo meal at different franchises of a national fast food company varies from $5.00 to $17.38 and has a krOWA standard deviation of $2.19. Asample of 29 students in an online course that includes students across the country stated that their average price is $6.00. The students have also stated that theyare generally unwilling to pay more than $6.75 for this meal Formulate and conduct a hypothesis test to determine if you can COnclude that the population mean isless than $6.75. Use a level of significance of 0.05Is there sufficient evidence at the 0.05 level of significance that the population mean is less than $6.752Determine the nuil hypothesis, H,, and the alternative hypothesis. H,(Type integers or decimals. Do not round.)

Answered: Image /qna-images/answer/2b9c5ce3-27f7-4d2f-973f-40d635eed7cd.jpg

Answered: The price of a certain combo meal at…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. The price of a certain combo meal at different franchises of a national fast food company varies from $5.00 to $17.34 and has a known standard deviation of $2.04. A sample of 26 students in an online course that includes students across the country stated that their average price is $6.00. The students have also stated that they are generally unwilling to pay more than $6.75 for this meal. Formulate and conduct a hypothesis test to determine if you can conclude that the population mean is less than$6.75. Use a level of significance of 0.05. Is there sufficient evidence at the 0.05level of significance that the population mean is less than $6.75? Determine the null hypothesis, H0, ___ ____ ____ and the alternative hypothesis, H1 ___ ____ ____ (Type integers or decimals. Do not round.)
The amount a person is willing to pay for a 45 inch LED TV used to be about $$500. A manufacturer wonders if this value is lower now. The manufacturer takes a random sample of 30 people and finds they are willing to pay an average of $$467 with a standard deviation of $$63. At the .01 significance level, conduct a full and appropriate hypothesis test for the manufacturer. Calculate the value of the test statistic. What is the corresponding P-value for the test statistic? significance level because P=
A cell phone company offers contract phones and non-contract phones. In a sample of 40 contract subscribers, the mean yearly income was found to be $57,000 with a standard deviation of $9,200. In a sample of 30 non-contract phones, the mean yearly income was found to be $53,000 with a standard deviation of $7,100. At the 1% significance level, is there evidence that the mean annual income level between the two groups is the same? Include a p-value with your test.
Assume a media agency reports that it takes television streaming service subscribers in the U.S. an average of 6.14 days to watch the entire first season of a television series, with a standard deviation of 4.03 days. Scarlett is an analyst for an online television and movie streaming service company that targets to the 18-50 age bracket. She wants to determine if her company's customers exhibit shorter viewing rates for their series offerings. Scarlett plans to conduct a one-sample z-test, with significance level of a = 0.05, to test the null hypothesis, Ho: u = 6.14 days, against the alternative hypothesis, Hj: µ < 6.14 days. The variable u is the mean amount of time, in days, that it takes for customers to watch the first season of a television series. Scarlett selects a simple random sample of 825 customers who watched the first season of a television series from the company database of over 25,000 customers that qualified. She compiles the summary statistics shown in the table.…
An auditor, pressed for time and on a low budget, is concerned with account errors on customer credit. She takes a sample of 25 accounts, and finds the account error, on average, is $-23, with a standard deviation of $16. Is the claim of the manager that errors average only $-10 supported? In this case, the null hypothesis is what?
If New York City has a mean gasoline price of $307 with a standard deviation of $19; while Hawaii has a mean gasoline of $337 and a standard deviation of $17. How would you interpret these results? a. New York City has a lower price of gasoline than Hawaii, on average. On the other hand, both cities have consistent priced gasolines. b. New York City has a lower price of gasoline than Hawaii, on average. However, New York City has more consistent priced gasoline. c. New York City has a lower price of gasoline than Hawaii, on average. However, Hawaii has more consistent priced gasoline. d. New York Cityhas a lower price of gasoline than Hawaii, on average. On the other hand, none of the cities have consistent priced gasolines.
The average starting salary of students who graduated from colleges of Business in 2009 was $48,800. A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard deviation of the population is known to be $7000. We want to determine whether or not there has been a significant increase in the starting salaries. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the 5% level of significance. Determine the critical value for this test. d. What do you conclude from the test? e. What does the test result mean in the context of this problem?
Unoccupied seats on flights cause airlines to lose revenue. As an intern in the finance department for Sunrise Airways, Garrett is tasked with estimating the average number of unoccupied seats per flight over the past year. To accomplish this, the records of 320 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 15.6 seats and the standard deviation is 4.6 seats. Construct a 99% confidence interval for the population mean number of unoccupied seats per flight during the past year. If necessary, round results to 1 decimal places.
Unoccupied seats on flights cause airlines to lose revenue. As an intern in the finance department for Skyline Airways, Rebecca is tasked with estimating the average number of unoccupied seats per flight over the past year. To accomplish this, the records of 231 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 14.7 seats and the standard deviation is 3.4 seats.Construct a 90% confidence interval for the population mean number of unoccupied seats per flight during the past year.If necessary, round results to 1 decimal places.
A food distribution company claims that a restaurant chain receives, on average, 26 pounds of fresh vegetables on a daily basis. The standard deviation of these shipments is known to be 4.4 pounds. The district manager of the restaurant chain decides to randomly sample 35 shipments from the company and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables. a. Check the TWO requirements that are satisfied. The Central Limit Theorem applies. The a distribution is normal since n > 30. The a distribution is normal since the x distribution is normal. The p distribution is normal since np > 5 and nq > 5.
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 $57,636$⁢57,636, but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 3737 colleges in the state and calculate a mean salary of $52,534$⁢52,534 with a standard deviation of $15,791$⁢15,791. Test the instructors' claim at the 0.050.05 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision.
Assume a media agency reports that it takes television streaming service subscribers in the U.S. an average of 6.60 days to watch the entire first season of a television series, with a standard deviation of 4.21 days. Scarlett is an analyst for an online television and movie streaming service company that targets to the 18-50 age bracket. She wants to determine if her company's customers exhibit shorter viewing rates for their series offerings. Scarlett plans to conduct a one-sample ?-z-test, with significance level of ?=0.05α=0.05, to test the null hypothesis, ?0:?=6.60 daysH0:μ=6.60 days, against the alternative hypothesis, ?1:?<6.60 days.H1:μ<6.60 days. The variable ?μ is the mean amount of time, in days, that it takes for customers to watch the first season of a television series. Scarlett selects a simple random sample of 740 customers who watched the first season of a television series from the company database of over 25,000 customers that qualified. She compiles the…

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