a manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. someone in the research and development division of the shoe company claims to have developed a longer lasting product. this new product was worn by 30 individuals and lasted on average for 17 months. the variability of the original shoe is estimated based on the standard deviation of the new group which is 5.5 months. is the designer's claim of a better shoe supported by the results? please base your decision on a twi tailed testing using level of significance of 0.05

a manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. someone in the research and development division of the shoe company claims to have developed a longer lasting product. this new product was worn by 30 individuals and lasted on average for 17 months. the variability of the original shoe is estimated based on the standard deviation of the new group which is 5.5 months. is the designer's claim of a better shoe supported by the results? please base your decision on a twi tailed testing using level of significance of 0.05

Name: a manufacturer of running shoes knows that the average lifetime for a
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: a manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. someone in the research and development division of the shoe company claims to have developed a longer lasting product. this new product was

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...

See similar textbooks

Similar questions

I need help understanding how to solve the question with a black box around it.
Linda, a researcher in a technology company, obtained a sample of 270 smartphone owners from California. She wanted to investigate whether Californians were quicker or slower to buy the latest version of a smartphone than the people in the rest of the United States. Linda found the average number of days that Californians waited to buy the latest version of a popular smartphone to be 4. Smartphone owners in the rest of the country typically wait 6 days, with a standard deviation of 21.
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. What proportion of hybrids gets over 61 miles per gallon?
Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 11.25 hours with a standard deviation of 3.3 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed. (a) Find the probability that with heavy use, the battery life exceeds 12 hours. (Round your answer to four decimal places.)(b) You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone? (Round your answer to the nearest tenth of an hour.) hours
The chocolate chip cookies that are produced at Perry’s Cookie Emporium have weights which are approximately normally distributed with the mean weight 180 grams and with standard deviations 20 grams. The cookies, however, are sold by count, not by weight. Perry wants to improve his image, so he decides to set aside lightest 20% of the cookies to be packaged and sold separately. What cookie weight will divide the lightest 20% from the heaviest 80%?
I will send the rest of question in a bit because of your guidelines
Zazil’s Instagram reels over the year have averaged around 70 likes per art reel with a standard deviation of 12. Since using trending music over her art reels, several of them have recently gone viral, averaging 120 likes with a standard deviation of 6. Zazil would like to know if adding trendy music over a reel increases her average likes. How do we use a Z-Test to test to calculate the data and determine if we reject or fail to reject the null hypothesis?
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake isμ=19 inches. However, a survey reported that of a simple random sample of 38 fish caught, the mean length was 19.9 inches, with estimated standard deviation of 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is different from μ=19inches? Use α=0.001. What is the value of the test statistic? (Round your answer to two decimal places.)Find the P-value. (Round your answer to four decimal places.)
A local community college reported that the average SAT score of its students is 960 with a standard deviation of 82. If a student scored 975 on the SAT, what is the student's z score? Did the student do better or worse on the SAT compared to the average student in the college?
A manufacturer of car batteries claims that the life of his batteries have a standard deviation equal to 0.9 years if a random sample of 10 of these batteries have a standard deviation of 14.4 months do you think that population standard deviation exceeds 0.81 years. Explain your results.
You get hired as a server at a local restaurant, and the manage tells you that servers tips are $42 on average but vary about $12 (mean =42, standard deviation =12). You decide to track your tips to see if you make a different amount, but because this is your first job as a server, you don't know if you will make more or less in tips. After working 16 shifts, you find that your average mightly amount is $44.50 from tips test for a difference between this value and the population mean at the a=0.05 level of significance.
How can get the standard deviation within the measures of dispersion or variability ?