A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 14 footballs were filled with helium to the recommended pressure and 12 footballs were filled with air to the recommended pressure. The mean yardage for the helium-filled footballs was 292 yards with a standard deviation of 3 yards. The mean yardage for the air-filled footballs was 232 yards with a standard deviation of 4 yards.Construct a 80% confidence interval for the mean difference in yardage for the two types of footballs. Assume the populations are normal with equal variances. Round your answers to three decimal places, and use four decimal places for any interim calculations.We are 80% confident that the interval ( [blank], [blank] ) contains the true mean difference $ \mu_1 - \mu_2 $ in yardage between the two types of footballs.What can you conclude about the sports writer's idea that helium footballs travel farther, on average?- The helium footballs are no different than the other footballs, on average.- The helium footballs travel farther on average than the other footballs.- The other footballs travel farther on average than the helium footballs.

Obtain the 80% confidence interval for the mean difference in yardage for the two types of…

Answered: A sports writer wants to see if a…

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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One student group argues that the average student must travel at least 25 minutes daily to go to college with a standard deviation of 9.6 minutes. The university's enrollment office believes it is different from that value and is tasked with taking a random sample of 32 one-way travel times from students. This sample had a mean of 19.4 minutes. Find the confidence interval for the true mean of the students' travel time for the home-university journey at 99% confidence. Does this interval contradict what the student group said? Discuss your answer. a) For what parameter (s) will the confidence interval be?b) Provide the formula to be used to calculate the confidence interval in this case.c) What assumptions do you require to use this formula?
The police department estimated the average speed of cars along boul. St. Jean. With hidden radar, the speed of a random selection of 44 cars was measured. It yielded a sample mean of 53 km per/hr and a sample standard deviation of 5.9 km per/hr. What is the 99.9% confidence interval for the average speed of all cars driving on boul. St. Jean?
Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 55 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 192 and the sample standard deviation was 89. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ο H: μ - 153 H: u > 153 Ο H: μ= 153 H: u = 153 Ο H μ= 153 Ha: u < 153 Ο H: μ= 153 H,: us 153 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = p-value = State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence…
According to a study of 90 truckers, a trucker drives, on average, 560 miles per day. If the standard deviation of the miles driven per day for the population of truckers is 40, find the 95% confidence interval of the mean number of miles driven per day by all truckers.
The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 36 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon. Construct a 99% confidence interval for the mean gas mileage for this car model.
The length of a doohickey is normally distributed with a standard deviation of 8 inches. If a random sample of 16 doohickeys has an average length of 30 inches find a 96% confidence interval for the mean of the lengths of the doohickeys.
The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 25 right handed students to turn a knob with their right hands that moved an indicator by screw action. There were two identical instruments, one with a right-hand thread and the other with a left-hand thread. The table given has the data from the student project.1. Calculate and interpret a 90% confidence interval for the mean time advantage of right hand over left hand threads in the setting above.
In September a biological research team caught, weighed, and released a random sample of 24 chipmunks in Rocky Mountain National Park. The mean of the sample weights was x-bar = 8.7 oz. with sample standard deviation s = 1.4 oz. Find a 90% confidence interval for the mean September weight of all chipmunks in Rocky Mountain National Park.
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 35 type I ovens has a mean repair cost of $80.39. The population standard deviation for the repair of type I ovens is known to be $24.63. A sample of 31 type II ovens has a mean repair cost of $73.47. The population standard deviation for the repair of type II ovens is known to be $10.42. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let i be the true mean repair cost for type I ovens and µz be the true mean repair cost for type II ovens. Step 1 of 5: State the null and alternative hypotheses for the test.
Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 57 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 185 and the sample standard deviation was 82. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ο Η : μ = 153, Ha : μ + 153 Ο Ηo : μ = 153, Ha : μ 153 Calculate the test statistic and p-value (Round your test statistic to two decimal places and your P- value to four decimal places.) z = p-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie…
One student group argues that the average student must travel at least 25 minutes daily to go to college with a standard deviation of 9.6 minutes. The university's enrollment office believes it is different from that value and is tasked with taking a random sample of 32 one-way travel times from students. This sample had a mean of 19.4 minutes. Find the confidence interval for the true mean of the students' travel time for the home-university journey at 99% confidence. Does this interval contradict what the student group said? Discuss your answer. d) Calculate the value of the margin of error (or maximum error) for the established confidence levele) Provide the lower limit of the requested range.f) Provide the upper limit of the requested range.g) How do you interpret this interval, it contradicts what the student group says?
Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 55 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 193 and the sample standard deviation was 88. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ho: μ = 153 Ha: μ> 153 Ho: μ = 153 Ha: μ = 153 Ho: μ = 153 Ha: μ ≤ 153 Ho: μ = 153 Ha: μ< 153 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence…

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