really need asap please Show complete solution.A random sample of 25 observations taken from a population that is normally distributedproduced a sample mean of 58.5 and a standard deviation of 7.5. Find the critical and observedvalues of t for each of the following tests of hypothesis using a = 0.01.a) Ho:μ = 55Ha: μ > 55b) Ho:μ = 55Ha:μ # 55

Given that A random sample of 25 observations taken from a population that is normally distributed…

Answered: Show complete solution. A random sample…

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

In a hypothesis test with hypotheses Ho: μ ≤ 54 and H1: μ > 54, a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4. The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the critical value of t ?
.A sample of 9 measurements, randomly selected from a normally distributed population, resulted in x= 2.6, and s= 0.9 Conduct a hypothesis test to verify the claim that the population mean is greater than 2.5 . Use a=.05
The standard deviation of the measurements made by a special thermocouple is assumed to be 0.005 ° C.If the standard deviation of a sample of 45 thermocouples is 0.01, perform a hypothesis test with alpha = 0.01
The sample mean and standard deviation from a random sample of 30 observations from a normal population were computed as x¯=31x¯=31 and s = 9. Calculate the t statistic of the test required to determine whether there is enough evidence to infer at the 3% significance level that the population mean is greater than 28. Test Statistic =
A student makes ten measurements of the density of a gas (g/L) at a reduced pressure of 10.00 kPa and obtains the following values: 0.189, 0.167, 0.187, 0.183, 0.186, 0.182, 0.181, 0.184, 0.181, 0.177 From the list of values above, the most likely candidate is .... Based on a standard Q test, the calculated Q value for this entry is.......
Let X1, ..., Xn be a sample from an exponential population with parameter λ.(a) Find the maximum likelihood estimator for λ. (b) Is the estimator unbiased?(c) Is the estimator consistent?
Suppose that a group of researchers is planning to test a new weight loss supplement. They have selected a random sample of 45 people who are trying to lose weight and plan to measure the amount of weight lost after one month of using the supplement. Assume that the researchers know from prior experiments that the standard deviation of weight lost in one month, , is 1.7 lb. To show that the supplement is effective, they plan to use a one-sample z‑test of Ho : u= 0lb against H1 : u > 0lb , where is the mean amount of weight lost in one month. They have also determined that, for a test with a significance level of 0.05, the power of the test is 0.9347 if the mean amount of weight lost is actually 0.8 lb. What is the probability that the researchers will reject their null hypothesis if the mean amount of weight lost is 0.8 lb or more? Give your answer as a percentage, precise to two decimal places.
A manufacturer has developed a new fishing line, which he claims has a mean breaking strength of 15 kilograms with a standard deviation of 0.5 kilogram. To test the hypothesis that μ=15μ=15 kilograms against the alternative that p<15p<15 kilograms, a random sample of 50 lines will be tested. The critical region is defined to be x<14.9x<14.9(a) Find the probability of committing a type 1 error when H0H0 is true(b) Evaluate ββ for the alternatives p−14.8p−14.8 and μ=μ= 14.9 kilograms.
Use the standard error to construct a approximate prediction interval for Y using an alpha of 5%. (Round your answer to 2 decimal places x x Fuel Economy of Selected Vehicles (n = 73, k = 4) Obs Vehicle CityMPG Length Width Weight ManTran 1 Acura TL 20 109.3 74.0 3968 0 2 Audi A5 22 108.3 73.0 3583 1 3 BMW 4 Series 428i 22 182.6 71.9 3470 0 4 BMW X1 sDrive28i 23 176.5 70.8 3527 0 5 Buice LaCrosse 18 196.9 73.1 3990 0 6 Buick Enclave 17 201.9 79.0 4724 0 7 Buick Regal 21 190.2 73.1 3692 0 8 Cadillac ATS 22 182.8 71.1 3315 0 9 Cadillac CTS 20 195.5 72.2 3616 0 10 Cadillac Escalade 14 202.5 79.0 5527 0 11 Chevrolet Camaro 1SS 16 190.6 75.5 3719 1 12 Chevrolet Cruze LS 26 181.0 70.7 3097 0 13 Chevrolet Impala LTZ 19 201.3 73.0 3800 0 14 Chevrolet Malibu 2LT 25 191.5 73.0 3532 0 15 Chevrolet Spark LS 31 144.7 61.0 2269 1 16 Chevrolet Suburban LTZ 15 224.0 80.5 5674 0 17 Chrysler 200 Touring LX 20 191.7 72.5…
The following table shows the number of shirts by sizes that are manufactured in a factory on aparticular week:Extra Small Small Medium Large Extra Large 390 470 520 680 440 c) A machine packages shirt in bags with a mean weight of 3 kg. A random sample of 20 bagshas a mean weight of 3.05 kg with a standard deviation of 0.05kg, From the data given, state thevalue of a:(i) parameter (ii) statistic
Consider a random sample X1,...,Xn,... ∼ iid Beta(θ,1) for n > 2. Prove that the MLE and UMVUE are both consistent estimators for θ
A nutritionist claims that the mean tuna consumption by a person is 3.6 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.4 pounds per year. Assume the population standard deviation is 1.19 pounds. At alphaαequals=0.05, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. Upper H 0H0: muμless than or equals≤3.6 Upper H Subscript aHa: muμgreater than>3.6 B. Upper H 0H0: muμgreater than>3.6 Upper H Subscript aHa: muμless than or equals≤3.6 C. Upper H 0H0: muμnot equals≠3.4 Upper H Subscript aHa: muμequals=3.4 D. Upper H 0H0: muμgreater than>3.4 Upper H Subscript aHa: muμless than or equals≤3.4 E. Upper H 0H0: muμequals=3.6 Upper H Subscript aHa: muμnot equals≠3.6 F. Upper H 0H0: muμless than or equals≤3.4 Upper H Subscript aHa: muμgreater than>3.4 (b) Identify the standardized test statistic.…

SEE MORE QUESTIONS

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