Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.t An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claimsin the county reported the percentage of their wheat lost to hail.178.119.121813129 8251815133The sample mean is x = 12.4%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and a= 5.0%. Do thesedata indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use a = 0.01.(a) What is the levelsignificance?State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?O Ho: H = 11%; H1: H < 11%; left-tailedO Ho: H # 11%; H1: H = 11%; two-tailedO Ho: H = 11%; H1: µ > 11%; right-tailedO Ho: H = 11%; H1: µ ± 11%; two-tailed(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.O The Student's t, sincen is large with unknown o.The standard normal, since we assume that x has a normal distribution with known o.The Student's t, since we assume that x has a normal distribution with known o.The standard normal, since we assume that x has a normal distribution with unknown a.Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

(a) The alpha value is 0.01. Thus, the level of significance is 0.01. Let μ denotes the population…

Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hall.t An Insurance company is studying wheat haill damage claims in a county in Colorado. A random sample of 16 claims In the county reported the percentage of their wheat lost to hail. 17 8 11 9 12 18 9 8 25 18 15 7 13 12 13 3 The sample mean is x= 12.4%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and a 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (elther way) from the national mean of 11%? Use a- 0.01.

Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hall.t An Insurance company is studying wheat haill damage claims in a county in Colorado. A random sample of 16 claims In the county reported the percentage of their wheat lost to hail. 17 8 11 9 12 18 9 8 25 18 15 7 13 12 13 3 The sample mean is x= 12.4%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and a 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (elther way) from the national mean of 11%? Use a- 0.01.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A community may be considered sociologically healthier the more variability there is in its housing values (up to a point). A major newspaper in one city investigated housing costs in several communities in its area and is running a story on its findings. For one of the communities, a random sample of 60 houses was examined, and the current market price of each house was determined. The newspaper published the following histogram summarizing these 60 prices. 20 15 10 5 0 Frequency 12 16 20 8 4 80 120 160 200 240 280 Current market price (in thousands of dollars) Based on this histogram, estimate the standard deviation of the sample of 60 prices. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.
Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work fewer volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 14 7 11 13 9. 11 8 12 7 13 10 13 Sisters: 13 19 16 11 11 19 5 10 16 17 7 | d. The p-value is ? O a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work…
Being overweight or obese may increases your risk of developing high blood pressure. The weight and systolic blood pressure of 13 randomly selected males in the age group 25 to 30 are shown in the table below. Subject Weight (lb) Systolic BP (mmHg) 1 164 130 2 167 133 3 180 146 4 155 128 5 210 151 6 175 146 7 190 150 8 202 140 9 200 148 10 149 125 11 158 133 12 169 135 13 170 143 Decide which variable should be the response variable (y) and which should be the explanatory variable (x). Describe the relationship. You may draw the scatter plot if you like, but it is not required. What is the correlation of coefficient? What can you tell from the correlation of coefficient?
A university wanted to see whether there was a significant difference in age between its day staff and evening staff. A random sample of 35 staff members is selected from each group. The data are given below. Test the hypothesis that there is no difference in age between the two groups. Use a =0.05. Day Staff 22 24 24 23 19 19 23 22 18 21 21 18 18 25 29 24 23 22 22 21 20 20 20 27 17 19 18 21 20 23 26 30 25 21 25 Evening Staff 18 23 25 23 21 21 23 24 27 31 24 20 20 23 19 25 24 27 23 20 20 21 25 24 23 28 20 19 23 24 20 27 21 29 30
1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females. x (lb) 19 24 25 23 20 15 25 21 17 24 26 22 18 19 y (lb) 126 126 125 124 130 120 145 130 130 130 130 140 110 115 In this setting we have Σx = 298, Σy = 1781, Σx2 = 6492, Σy2 = 227,603, and Σxy = 38,105. f) Find Se. (Round your answer to two decimal places.)Se = (g) Find a 95% confidence interval for weight at age 30 of a female who weighed 21 pounds at 1 year of age. (Round your answers to two decimal places.) lower limit lb upper limit lb (h) Test the claim that the slope ? of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t =
Which of the following can increase effect size? Select one: O a. increase the distance between means and increase the sample size O b. decrease the variability and increase the distance between means O c. decrease the variability and increase the sample size
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 16 6 8 9 10 18 14 13 9 10 25 18 13 8 14 3 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and σ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use ? = 0.01. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Adding a constant c=1 to a standard normally distributed random variable (red curve) is best illustrated by which graph? A. В. С. A D.
ASK YOUR TEACHER Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.t An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 14 7 10 11 12 19 14 11 9 8 23 19 13 7 10 7 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and a = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 11%; H,: µ 11%; right-tailed O Ho: H + 11%; H,: u = 11%; two-tailed O Ho: H = 11%; H,: u + 11%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your…
Let x be the average number of employees in a group health insurance plan, and let y be theaverage administrative cost as a percentage of claims. The following data is based on a randomsample:x 5 7 15 25 35y 40 35 30 20 25a. Plot a scatter diagram of the above data.b. Estimate the sample correlation coefficient r as positive, zero, or negative.c. Interpret your results from parts a. and b.