The National Weather Service claimed that the average amount of snow in lowa is11.52 inches. 10 cities in lowa are randomly selected, and the average amount ofsnow is calculated to be 7.42 inches, and the standard deviation is 1.3 inches. At a95% confidence level, conduct a hypothesis test. Can we accurately state that theNational Weather service reported incorrectly?Assume the amount of snow fallen in lowa follows a normal distribution.

Answered: Image /qna-images/answer/c2552461-abe2-43ec-98a2-b31bc19f9819.jpg

Answered: The National Weather Service claimed…

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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Similar questions

A luxury furniture manufacture will make custom furniture for their customers. Pricing is based on the number of hours of skilled labor it takes to make a piece. The time it takes to make a custom couch is normally distributed with an average of 280 hours and a standard deviation of 40 hours. What percent of custom couches take 255 hours or less to make? How long would it take to build a couch that is in the 95th percentile?
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 is μ=20 inches. However, a survey reported that of a simple random sample of 37 fish caught, the mean length was 17.5 inches, with an estimated standard deviation of 4.3 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ=20 inches? Use α=0.05. 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.)Based on your results, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level αα? A) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. B) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant. C)…
The manager of a major retail store has taken a random sample of 25 customers. The average sale was $52.50. The population standard deviation is known to be $6.10. The manager would like to determine whether or not the mean sales by all customers are significantly more than $50. What is the p-value for the test?
Students preparing for comprehensive exams usually spend many hours studying. Suppose it is known that the time students spend studying for comprehensive exams has a distribution that is skewed heavily to the right with a mean of 41.3 hours and a standard deviation of 6.8 hours. If a simple random sample of 72 students is selected and the amount of time each spent studying for the comprehensive exam is determined. State and check the two assumptions.
An instructor claims that the average number of hours needed to study for a final exam in order to pass should be 5 hours. A student believes that the instructor is understating the number of hours needed to pass and surveys 36 students and finds the sample mean and standard deviation to be 5.7 and 1.5 hours respectively. Test the instructors claim at a .10 level.
A random sample of 47 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $17.51 per car. The population standard deviation is $6.05. Estimate the mean bill for all cars from the drive thru with 91% confidence.
Butt-to-knee length is approximately normally distributed with a mean of 23.1 inches and a standard deviation of 1.2. Theater seats are designed to be comfortable for as many adults as possible. If the seats are required to fit the middle 80% of the population, the seat must be comfortable for what butt-to-knee length range?
The management of a national automobile manufacturer advertises a free transmission if it fails. The management expects transmissions will be normally distributed with a mean of 65,000 miles and a standard deviation of 2,146 miles. If management wants to give free transmission replacements to at most one percent of its automobile purchasers, at what mileage should warranty state replacement?
The mean height of male college students in a large city is 68 inches and the standard deviation is 5 inches. What height would a male college student must have in order for the student's height to be the cutoff point for the 95th percentile? (What is the lowest height in the top 5%?)
The ACCUPLACER is a college readiness exam. The scores for the math section are normally distributed with a mean of 75 and standard deviation of 8. A college policy is that the bottom 15% of test takers are required to take a remedial math course over the summer. Students who score below what score will have to take the summer course?
joans finishing time for the bolder boulder 10k race was 1.77 standard deviations faster than the womens average for her age group. there were 415 women in her group. assuming a normal distribution, how many women ran faster than joan? rounded down to the nearest whole number

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