An insurance company wants to know if the average speed at which men drive cars is greaterthan that of women drivers. The company took a random sample of 54 cars driven by men on ahighway and found the mean speed to be 144 miles per hour with a standard deviation of 4.4miles per hour. Another sample of 36 cars driven by women on the same highway gave a meanspeed of 136 miles per hour with a standard deviation of 5 miles per hour. Assume that thespeeds at which all men and all women drive cars on this highway are both normally distributedwith an equal population standard deviation.1.Construct a 98% confidence interval for the difference between the mean speeds of cars driven by allmen and all women on this highway.please give correct answer and as soon as possible

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Answered: An insurance company wants to know if…

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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A person records the speeds of various cars as they drive past their house. After 100 readings, the speeds of the cars are normally distributed with a mean of 23.84 mph and a standard deviation of 3.56 mph. a. If a car's speed has a z-score of -2, what speed was that car going? b. Calculate the z-score for a car that is driving at 28 mph. c. One car is observed as driving at 30 mph, and another at 15 mph. Which of the two is more unusual?
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 = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s= 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than = 19 inches? Use α = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: μ = 19 in; H₁: μ 19 in; H₁: μ = 19 in O Ho: μ 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is known. O The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and is…
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 = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: 19 in Ho: M = 19 in; H₁: μ # 19 in 1 Ho: M = 19 in; H₁: μ 19 in; H₁: μ = 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is known. The standard normal, since the sample size is…
A particular fruit's weights are normally distributed, with a mean of 477 grams and a standard deviation of 19 grams.The heaviest 3% of fruits weigh more than how many grams?Give your answer to the nearest gram.
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 = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.4 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. What is the value of the sample test statistic? (Round your answer to three decimal places.)Estimate the P-value. a) P-value > 0.250 b) 0.100 < P-value < 0.250 c) 0.050 < P-value < 0.100 d)0.010 < P-value < 0.050 e) P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α? a) At the α = 0.05…
Calculate z scores from two samples The tallest living man at one time had a height of 252 cm. The shortest living man at that time had a height of 30.3 cm. Heights of men at that time had a mean of 170.25 cm and a standard deviation of 8.47 cm. Answer Z score for the tallest man Z-score for the shortest men
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Please see the picture below. None of the answers I've tried is coming back right. I just need help with the items in the red boxes.
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)…

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