**Hypothesis Test for a Population Mean***A car manufacturer wants to know how long transmissions last. A sample of transmissions is run constantly, and the number of miles before failure is recorded. The auto maker claims that transmissions can run constantly for over 150,000 miles before failure. Below are the sample results:*- **Mean (in 1000s of miles):** 151.2- **Variance:** 17.22- **Observations (n):** 44- **Hypothesized Mean:** 150- **Degrees of Freedom (df):** 43- **t Stat:** 1.889- **P(T<=t) one-tail:** 0.033- **t Critical one-tail:** 1.681- **P(T<=t) two-tail:** 0.066- **t Critical two-tail:** 2.017- **Confidence Level (95.0%):** 1.129**Visual Explanation:**The image contains a bell-shaped normal distribution curve, illustrating the t-distribution. The horizontal axis denotes the t values, marked from -3 to 3, aligning with typical ranges used in standard t-distributions.The region under the curve, highlighted to the right, illustrates the p-value for a one-tailed test. This visual representation helps determine where the test statistic (t) lies in comparison to the critical value. **Interactive Content:**- **What condition is met for the use of a t-distribution?** - The user is prompted to make a selection from dropdown options, which may include conditions like "Sample size relatively small" or "Population variance unknown."- **Calculations:** - $ t = $ (user input) - $ s = $ (user input)These inputs allow users to engage with the data and compute necessary statistics themselves.

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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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2. A pet association claims that the mean annual costs of food for dogs and cats are the same. The results for samples of the two types of pets are shown in the following table. On wished to test the claim. Assume both populations follow normal distributions Dogs Cats 21 - 16 T1= 239 n2 = 18 Iz= 203 S1 = 32 82 =28 with equal variances. Which of the following formula should be used to calculate the standardized test statistic? (a) Z = (21-32)- Do lu A n2 = (E1-2)-Do (b) Z V n1+2 (c) T (1-2)-Do (21-1)a7+(n2-1)s I1 11+11タ-3 V 1'n2 (d) T = d- Do sp/Vn (e) Z
3.18. A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. A completely randomized experiment is conducted and the following conductivity data are obtained: Coating Type 1 234 2 4 143 152 134 129 Conductivity 150 137 132 132 141 149 136 127 146 143 127 129 (a) Is there a difference in conductivity due to coating type? Use a = 0.05. (b) Estimate the overall mean and the treatment effects. (c) Compute a 95 percent confidence interval estimate of the mean of coating type 4. Compute a 99 percent confidence interval estimate of the mean difference between coating types 1 and 4.
5.2° A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 51 months and a standard deviation of 9 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 24 and 42 months? Do not enter the percent symbol. ans = Question Help: Video Submit Question 0 % a $ || hp
5. We don't want predictor variables that are too highly correlated with each other or they are redundant (say ≥±.70) or multicollinear (2±.90), which means the variables are measuring pretty much the same thing so why have them all in the equation. What was the finding for redundancy between SPI Scientist and SPI Practitioner? a. No issue with redundancy since the shared variance between the two variables was only 4% (r2 = .04). b. There was an issue with redundancy between the two variables shared 62% of the variance in the relationship.
9. You are an agricultural consultant researching the effect of different ground surfaces for dairy cattle. On a particular farm, the cow stalls are covered with straw, and the farm produces an average of 750 gallons of milk per day. The farmer is interested in knowing whether he can increase his milk yield by swapping out the straw for cow waterbeds. After making the switch, the farmer measures his yield on 18 days, finding a sample mean of 810 gallons and a sample standard deviation of 80 gallons. a) Carry out a hypothesis test to ask whether the mean yield from cows on waterbeds is greater than the mean yield for cows on straw, using a = 0.01. Be sure to carry out all of the steps of a hypothesis test, and phrase your conclusion in a way that will be useful to the farmer.
3/10 Question 5 of 10, Step 1 of 1 Correct A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 413.0 gram setting. It is believed that the machine is underfilling the bags. A 41 bag sample had a mean of 412.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the variance is known to be 625.00. Enter the decision rule, Answer E Tables E Keypad How to enter your answer Keyboard Shortcuts Reject Ho if z <
16.
Question 20. part b. Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 5.8 hours to be admitted into the hospital. The standard deviation for these 14 patients was 1.7 hours. What can be concluded at the the αα = 0.05 level of significance level of significance? C.)The test statistic ?, z or t = ____ (please show your answer to 3 decimal places.) D.)The p-value = ______ (Please show your answer to 4 decimal places.) E.) The p-value is ?, ≤ , > α

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