A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests,you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 43.9 milligrams. Assume the population is normally distributed andthe population standard deviation is 6.4 milligrams. At a = 0.09, can you reject the company's claim? Complete parts (a) through (e).O A. Ho us43.9Hai H>43.9B. Ho H-45H µ#45FOC Ho H=43.9H H#43.9D, Ho H#43.9Ha p= 43 9OE Ho HS45Ha µ>45OF H, p-45H, H= 45rary(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.(Round to two decimal places as needed.)O A. The critical value iscessB The critical values are +esources(1)MoreIccessClear allFinsi checkView an exampleGet more help -Help me solve thisContact UsCopyright O 2021 PearSon Education Inc Allrights reserved. Terms of Use Privacy Policy Permissions53°F A99+Type here to search

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Answered: A company that makes cola drinks states…

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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Sam and Peter are classmates. In an examination, Sam gets 75 marks and Peter gets 89 marks. It is known that the standard normal score of Sam's marks is 0, z(Sam) = 0 and the standard normal score of Peter's marks is 1.75, z(Peter) = 1.75. Find the standard deviation of the examination marks.
A study of a population showed that males' body temperatures are approximately Normally distributed with a mean of 98.4°F and a population standard deviation of 0.40°F. What body temperature does a male have if he is at the 95th percentile? Draw a well-labeled sketch to support your answer.
A particular fruit's weights are normally distributed, with a mean of 585 grams and a standard deviation of 18 grams.If you pick 15 fruits at random, then 17% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 696 grams and a standard deviation of 25 grams. If you pick 26 fruits at random, then 4% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly is 120 millimeters of mercury (mm Hg), but she believes that the actual value is higher. She bases her belief on a recently reported study of 19 randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was 121 mm Hg , and the sample standard deviation was 20 mm Hg. Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the 0.1 level of significance, can it be concluded that μ , the mean systolic blood pressure among elderly adults, is greater than 120 mm Hg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (a) State the null hypothesis H0? and the alternative hypothesis H1? . H0:? H1:? (b) Determine the type of test statistic to…
A particular fruit's weights are normally distributed, with a mean of 271 grams and a standard deviation of 28 grams.If you pick 3 fruits at random, then 7% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 317 grams and a standard deviation of 29 grams. If you pick 25 fruits at random, then 5% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.
A statistician wants to determine if there is a significant difference in the average height of male and female college students. He collects a random sample of 100 males and 100 females and calculates their heights (in cm). The sample mean height for males is 175 cm and the sample mean height for females is 165 cm. The sample standard deviation for males is 6 cm and the sample standard deviation for females is 5 cm. Conduct an independent samples t-test to determine if there is a significant difference in the average height between males and females at a significance level of 0.05.
You collected data from a random sample of students on their impressions of the university. On a particular opinion item item, the mean for male students was 15.2 -- with a standard deviation of 3.4. The mean on that item for women was 14.4, with a standard deviation of 3.8. Calculate Cohen's d effect size. IN THE SPACE BELOW, write the effect size AND your interpretation of it.
In a class with 50 students, a 60-item test is conducted. After the test, it is found that the mean of the scores is 40 and the standard deviation is 5. Assuming normal frequency distribution, determine the scores of the students within 1 standard deviation.
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Exam scores in a large class are normally distributed with a mean of 15.7 and a standard deviation of 7.43. Rana's score on the exam was 9, and Sara's score was 25. The absolute value for the difference between the two ladies z-score is O a. 4.5760 O b. 2.4226 O c. 1.2517 O d. 2.1534

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