State the null and alternative hypotheses.
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Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company is interested in determining if process 1 takes more manufacturing time, they selected independent samples from each process. The results of the samples are shown below.
|
|
Process 1 |
Process 2 |
|
|
28 |
24 |
|
Sample Mean (in minutes) |
15 |
12 |
|
Sample Variance |
16 |
25 |
State the null and alternative hypotheses.
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- Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST =10,890; SSTR =4600. a. Set up the ANOVA table for this problem (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total b.Use a 0.05 to test for any significant difference in the means for the three assembly methods. %3D Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - What is your conclusion? - Select your answer -An elementary school teacher is interested in knowing if there is a significant difference in the average reading speed of fifth-grade boys and girls. She randomly selects 36 fifth grades boys and 36 fifth grade girls for the study. Each student is given several pages of the same book to read and the time it takes them to complete the reading is recorded in minutes. Boys Girls Sample Size 36 36 Sample Mean reading speed (in minutes) 11 12 Population Variance 3 2 The p-value is a. 0.156 b. 0.0037 c. 0.336 d. 0.238The Wisconsin Fish and Game Department stocked a lake with 30% catfish, 15 % bass, 40% bluegill, and 15% Northern Pike. Five years later they took a random sample of 500 fish from the lake and found 120 catfish, 85 bass, 220 bluegill, and 75 Northern Pike. At the 5% level of significance, can we show that the distribution of fish changed over the 5-year interval? State and test appropriate hypotheses. State conclusions.
- The nation of Olecarl, located in the South Pacific, has asked you to analyze international trade patterns. You first discover that each year it exports 10 units and im- ports 10 units of wonderful stuff. The price of exports is a random variable with a mean of 100 and a vari- ance of 100. The price of imports is a random variable with a mean of 90 and a variance of 400. In addition, you discover that the prices of imports and exports have a correlation of r = -0.40. The prices of both ex- ports and imports follow a normal probability density function. Define the balance of trade as the difference between the total revenue from exports and the total cost of imports. What are the mean and variance of the balance of trade? What is the probability that the balance oft trade is negative?If we reject the null hypothesis, Ho: p= 0, what can we conclude about the population correlation coefficient? Multiple Choice It is zero. It could be zero. It is not zero. It equals the computed sample correlation.Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST-10,850; SSTR-4,570 a. Set up the ANOVA table for this problem (to 2 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value (to 4 decimals) Treatments Error Total buse a 05 to test for any significant difference in the means for the three assembly methods. Calculate the value of the test statistic (to 2 decimals) The p-value is Select your answer What is your conclusion -Select your answer bep < (A₁ 3
- A cigarette manufacturer claims that his cigarettes have nicotine content that does not exceed 2.0 milligrams. If a random sample of 10 cigarettes of this type have nicotine contents of 2.0, 2.3 1.7, 2.2, 1.9, 2.2, 2.0, 2.5, 2.1 and 1.9 milligrams, would you agree with the manufacturer's claim? a = 0.05, what is the computed test statistic for this problem? A none of the choices B) 1.10 C) 2.306 D) 1.1833Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST =10,870; SSTR =4580. a. Set up the ANOVA table for this problem (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 4580 Error 6290 Total 10870 b.Use a = 0.05 to test for any significant difference in the means for the three assembly methods. Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - What is your conclusion? Select your answer -A researcher randomly assigns college freshmen to either of two experimental conditions. Because both groups consist of college freshmen, someone claims that it is appropriate to use a t test for the two related samples. Comments?
- One of the two fire stations in a certain town responds to calls in the northern half of the town, and the other fire station responds to calls in the southern half of the town. The following is a list of response times (in minutes) for both of the fire stations (this data will be used for several problems). Both samples may be regarded as simple random samples from approximately normal populations so that the t- procedures are safe to use. Northern: 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 12 Sum = 192 Sum of Squared Deviations = 197.2 Southern: 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 12, 12, 12, 12, 13 Sum = 225 Sum of Squared Deviations = 231.5 Find and interpret a 95% confidence interval for the mean response time of the fire station that responds to calls in the northern part of town. Fill in blank 1 to report the bounds of the 95% Cl. Enter your answers as lower bound,upper bound with no…An HIV clinical trial with 1151 subjects was conducted. We will focus on two variables from this trial: IVDrug and Age. IVDrug is a categorical variable that indicates whether each subject never, previously, or currently uses IV drugs. Age lists the subject's age in year. Thus, we have age for subjects in three treatment groups. Assume that the samples were collected independently and come from a normally distributed population with equal variances. An ANOVA is used to test whether average age in the three IV drug groups is the same. A partially filled-in ANOVA table is listed below. Use a significance level of 0.05. p-value Treatment Error Total df SS MS 76.77 F 7.5586As a project site civil engineer, you will evaluate the production and process of the concrete producers. You will find that whether the concrete is too watery or not. From the data, the contract specification state that the slump for the concrete used should be 1 inch, with a 90% level of confidence(hint: this is redundant given). So, we will take 10 random samples of fresh concrete and measure the slump. Data: 0.95 1.21 1.03 1.10 1.01 0.99 0.89 0.97 1.01 0.99 Test the hypothesis that mean concrete is different from 1 inch at 10% or 0.10 level of significance. HINT: t-test: two-tailed test. Specify and Use 6 steps method.
