c. After conducting the appropriate significance test, the test statistic was found to be -1.34.Therefore, the conclusion for the test is:Reject Ho, because p-value is less than 0.05Fail to reject H1, because -1.34 falls outside the critical regionReject Ho, because -1.34 falls within the critical regionFail to reject Ho, because p-value is greater than 0.05 A company produces high quality and long lasting batteries for cars. The CEO of the company claims that the average lifespan of a battery is 270 dayswith a standard deviation of 50 days under normal conditions. A quality control officer randomly selected 45 batteries from the production line andtested the longevity period of these batteries. It is found that the tested batteries had a mean life span of 260 days. Does the study support the claim ofthe CEO that the average lasting time of a battery is less than 270 days? Test it at 5% level of significance.a. Which of the following statistical tests is most appropriate in this scenario?O Two-Tailed Z-TestOne-Tailed Z-TestTwo-Tailed T-TestOne-Tailed T-Testb. What are the appropriate hypotheses for the test?Ho : µ = 260 Hị : µ < 260Ho : µ + 270 H : µ = 270Но : и — 270 Н, : р > 270Но : и — 270 Н, : р < 270O O O o

Given : sample size, n =45 sample mean, x̄ =260 population standard deviation,σ=50…

Answered: A company produces high quality and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In 2018, a study was conducted that stated that the average commute time to work for Kern County residents was 22.6 minutes. Suppose you were hired to determine if the average commute time is different than it was in 2018. You randomly sample 87 individuals who commute to work from Kern county and you find that their average commute time was 20.8 minutes and you find the standard deviation of commute times for those 87 individuals was 3.6 minutes. Carry out the appropriate hypothesis test at the a = 0.05 level of significance to determine if the average commute time differs from what it was in 2018.
According to a news program, Americans take an average of 4.9 days off per year because of illness. The manager of a large chain of grocery stores wants to know if the employees at the grocery store, on average, take fewer days off than the national average. The manager selects a random sample of 80 employees in the company and found the sample mean number of days off for the 80 employees was 4.75 days with a standard deviation of 0.9 days. When the manager performed a significance test, the P-value was 0.07. What is the meaning of this P-value in context?
Medical researchers are interested in determining the relative effectiveness of two drug treatments on patients with a chronic mental illness. Treatment 1 has been around for many years, while treatment 2 has recently been developed based on the latest research. The researchers chose two independent test groups. The first group had 9 patients, all of whom received treatment and had a mean time until remission of 166 days, with a standard deviation of 8 days. The second group had 15 patients, all of whom received treatment 2 and had a mean time until remission of 161 days, with a standard deviation of 9 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Can we conclude, at the 0.05 level of significance, that u, the mean number of days until remission after treatment 1, is greater than u,, the mean number of days until remission after treatment 2? Perform a one-tailed test. Then complete the parts…
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
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Your research group has been hired to determine if college men and women drink different amounts of soft drinks at Illinois State University. After a careful study, your group has determined that males drink an average of 12 sodas per week with a standard deviation of 3.5 whereas female students drink an average of 9 soft drinks per week with a standard deviation of 2 sodas. The sample size of males is 200 and the sample size of females is 200. Based on this information, your group calculates the z-score to be: [____].
A newly hired basketball coach promised a high- paced attack that will put more points on the board than the team's previously tepid offense historically managed. After a few months, the team owner looks at the data to test the coach's claim. He takes a sample of 36 of the team's games under the new coach and finds that they scored an average of 101 points with a standard deviation of 6 points. Over the past 10 years, the team had averaged 99 points. What is(are) the appropriate critical value(s) to test the new coach's claim at the 1% significance level? -2.438 -2.438 and 2.438 2.326 2.438
I wanted to test if the mean Exam 3 score in this course was different than the mean Exam 2 score. I then did a different test than the previous questions. I instead used the 30 students in my course last semester as my sample for Exam 3, and I used a sample of 25 students from this class as my sample for Exam 2. The sample mean score for Exam 2 was 84.0 with a standard deviation of 2.0, and the sample mean score for Exam 3 was 82.0 with a standard deviation of 1.8. What is the t-value used in the 95% confidence interval for the mean difference between Exam 2 and Exam 3? Group of answer choices 2.045 2.064 2.042 2.060

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