Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 13.4 minutes. The standarddeviation of completion times was 1.1 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now lessthan 13.4 minutes. To test this claim, a random sample of 42 completion times under new management was taken by the analyst. The sample had a mean of13.3 minutes. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the population meancompletion time under new management is less than 13.4 minutes? Assume that the population standard deviation of completion times has not changed undernew management.Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.H :DH₁ :0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)0(d) Find the p-value. (Round to three or more decimal places.)(e) Can we support the claim that the population mean completion time undernew management is less than 13.4 minutes?μ3.|xX5☐☐OXS0=0 OSOUo0<0РS

Given that Sample size n=42 Sample mean=13.3 Population standard deviation =1.1 NOTE:- According to…

Answered: e changes to its management staff, an…

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...

See similar textbooks

Similar questions

A school principal claims that the number of students who are tardy to school does not vary from month to month. A survey over the school year produced the following results. Using a 0.01 level of significance, test a teacher's claim that the number of tardy students does vary by the month. Number Aug. Sept. Oct. 18 13 19 Tardy Students Nov. 14 Dec. Jan. Feb. Mar. Apr. May 8 6 13 11 15 16 Copy Data Step 3 of 4: Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places.
Part C. Compute the sample mean and sample deviation.
A hypertension trial is mounted, and 12 participants are randomly assigned to receive either a new medication or a placebo. Each participant takes the assigned medication, and the participants’ SBP is recorded after 6 months on the assigned medication. The data are shown in Table 7–9. Is there a difference in mean SBP between treatments? Run the appropriate test at a = 0.05. Placebo New Medication 134 114 143 117 148 121 142 124 150 122 160 128
The mean output of solar cells of three types is measured six times under random light intensity over a period of 5 minutes, yielding the results shown. Research question: Is the mean solar cell output the same for all cell types?
A random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the F table.) (table is the screenshot picture) a. Calculate the grand mean. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. _H0: μA = μB = μC; HA: Not all population means are equal. _H0: μA ≤ μB ≤ μC; HA: Not all population means are equal. _H0: μA ≥ μB ≥ μC; HA: Not all population means are equal. e-1. Calculate the value of the F(df1, df2) test statistic. (Round intermediate calculations to at least 4 decimal…
data from the office for national Statistics show that the mean age at which men in greatbritain get married is 30.8 years (the Guardian, february 15, 2013). a news reporternoted that this represents a continuation of the trend of waiting until a later age to wed.a new sample of 47 recently wed british men provided their age at the time of marriage.these data are contained in the datafile britainMarriages. do these data indicate that themean age of british men at the time of marriage exceeds the mean age in 2013? test thishypothesis at a = .05. what is your conclusion?.
. A process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. i. The mean of the sample is clearly not the required 800 mm. Say why this is not enough information in itself to say if the machine is operating correctly or not. ii. State the null and alternative hypotheses for this situation.
A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of 10 words that were on the original list. Students were also asked to provide their GPAs. Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for five intervals of scores on the number of correctly identified words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages. Score Interval f Proportion Percentage 9–10 29 0.19 19% 7–8 53 5–6 50 3–4 22 0.14 14% 1–2 1 0.01 1%
A study is done to determine if students in the California state university (CSU) system take longer to graduate, on average, than students enrolled in private universities using the significant level of 5%. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5811 years for CSU and 1 year for private universities. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3. What is the decision rule of rejecting the null hypothesis
State the conclusion based on the results of the test. According to the Federal Housing Finance Board, the mean price of a single-family home two years ago was $299,100. A real estate broker believes that because of the recent credit crunch, the mean price has increased since then. The null hypothesis is not rejected. Choose the correct answer below. O A. There is not sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,100. O B. There is sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,100. C. There is sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,100. O D. There is not sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,100.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS