A study on the correlation between sleep quality and academic performance of SHS students is done by somePRACRES students. A random sample of 8 students is taken and the data for the number of hours of sleep pernight (in hours) is recorded below:4 4.5 5 5 5.5 6 6.5 7Find the sample mean and the sample standard deviation.[Select]Determine a 90% confidence interval for the true average, assuming the number of hours of sleep followsnormal distribution. [ Select]<Based on the computed interval, is there a reason to believe the claim that the true average number of hoursof sleep is equal to 6.0 hours? [Select]

Answered: Image /qna-images/answer/fd01ab3d-1dba-44b2-a103-d9599b26b91e.jpg

Answered: A study on the correlation between…

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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To determine the views of students on a particular campus about fraternities, an 11-point attitude scale was administered to a random sample of 25 students. This survey yielded a sample mean of 5 (the higher the score, the more favorable the view of the fraternities) and a standard deviation of 1.5. Find the 95% confidence interval for the population mean.
The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. The sample standard deviation is s = 0.37. Construct a 95% two-sided confidence interval for the standard deviation
Sales personnel for City Distributors Inc. submit weekly reports listing the customer complaints made during the week. A simple random sample of 8 weekly reports showed a sample mean of 8 complaints per week with a sample standard deviation of 3.464. What is the 95% confidence interval for the population mean?
A laptop producer hạs been getting complaints on the batteries they install. Particularly, the customers complain about an overheating problem. A quality control specialist is investigating the issue and unknown to her, there are 9 overheating batteries in the batch of 20 that she is sampling from. If she randomly samples 5 batteries, what is the standard deviation of the number of overheating batteries she can encounter? A. 0.988 OB. 1.112 OC. 0.977 OD. 1.238
A researcher is interested in finding a 98% confidence interval for the mean number of times per day that college students text. The study included 149 students who averaged 37.1 texts per day. The standard deviation was 13.4 texts.
Many cheeses are produced in the shape of a wheel. Because of the differences in consistency between these different types of cheese, the amount of cheese, measured by weight, varies from wheel to wheel. Heidi Cembert wishes to determine whether there is a significant difference, at the 10% level, between the weight per wheel of Gouda and Brie cheese. She randomly samples 18 wheels of Gouda and finds the mean is 1.3 lb with a standard deviation of 0.3 lb; she then randomly samples 10 wheels of Brie and finds a mean of 0.95 lb and a standard deviation of 0.21 lb. What is the df and p-value for Heidi's hypothesis of equality? Assume normality. (Give your answer correct to four decimal places.)
The seasonal output of a new experimental strain of pepper plants was carefully weighed. The mean weight per plant is 17.0 pounds, and the standard deviation of the normally distributed weights is 1.75 pounds. Of the 200 plants in the experiment, how many produced peppers weighing between 13 and 16 pounds?
A sample of 22 public high school students spent an average of 7 hours studying per week. Assuming the distribution of hours spent studying is normally distributed. Find a 95% confidence interval for the mean number of hours spent studying by public high school students.? Assume the standard deviation is 1.3 hours.
Suppose that the daily intake of an adult follows a uniform distribution from 40 to 65 micrograms. Suppose that 36 adults are randomly selected. What is the mean and standard deviation of the average intake for 36 adults. a. Mean= 52.5 stvdev = 1.2 b. Mean = 55 stvdev= 7.22c. Mean = 52.5 stvdev = 2.08 d. Mean= 52.5 stvdev = 7.22
In a sample of 90 large grade A eggs, the mean number of calories was 64 with a standard deviation of 2.5. In a sample of 85 large grade AA eggs, the mean number of calories was 86 with a standard deviation of 2.7. Find a 98% confidence interval for the difference in the mean numbers of calories between grade AA and grade A eggs. (Round the final answer to three decimal places.)
In a randoms sample of six people, the mean driving distance to work was 19.7 miles and the standard deviation was 6.1 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results.
Two brands of batteries are tested, and their voltages are compared. The summary statistics follow. For sample 1, the sample size is 27; the population standard deviation is 0.3 volts and the mean is 9.2 volts. For sample 2, the sample size is 30; the population standard deviation is 0.1 volts and the mean is 8.8 volts. Is the mean of sample 1 smaller than the mean of sample 2? Using a significance level of 0.05. a) Identify the claim and state the hypotheses. b) What is the test statistics? Find the critical values (s). c) Make the decision to reject or not reject the null hypothesis and explain why. d) Graph your decision and include all the values. That is, the mean, the standard deviation, the critical value(s), the rejection region. e) Set up the formula with the correct numbers for the 95% confidence interval of the mean number of jobs.

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