5. In a supermarket, the average cost of men's sport watch is RM 165. A manager takes a sampleof 36 watches at random and found out that the mean is RM 178. Is there enough evidence tosuggest that the price of watch is more than RM165? Assuming that the population standarddeviation is 40, carry out a test ata) 5% significant level using classical approachb) 1% significant level using p-value approach

The mean difference between the sample and the population is calculated for the larger sample of…

Answered: In a supermarket, the average cost of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 7PPS

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The claim is that for 12 AM body temperatures, the mean is \mu > 98.6 The sample size is n = 3 and the test statistic is t= 1.887
8. pu) A fast-food company advertises that the pre-cooked weight for its half-pound burgers is, on average, 0.5 Ibs. The company runs a regular quality control test that involves weighing a sample of burgers to see if the mean weight is significantly different than 0.5 lbs. Tina takes a random sample of 31 burgers from a batch of over a thousand burgers. She finds the sample mean weight of the burgers to be 0.54 Ibs with a standard deviation of 0.1 Ibs. She wants to use these sample data to test whether the mean weight of their burgers is significantly different than 0.5 lbs at the 5% significance level. (A) Let u be the population mean weight of the burgers. Set up the null- and alternative hypothesis. Ho: H1: (B) Find the value of the test statistic. (Show all work and include the formula for the test statistic). (C) Find the critical value. (D) The conclusion is (circle exactly one answer) (1) Fail to reject Ho. (II) Reject Ho.
For all adult women in the US, the diastolic blood pressure is normally distributed with mean 76 mm Hg and standard deviation 12 mm Hg. A physician has data on 16 randomly selected adult US women. There is a 10 % chance that any other person collecting data on 16 randomly selected adult US women will get an average diastolic blood pressure higher than the average diastolic blood pressure for the physician’s sample. What is the average diastolic blood pressure for the physician’s sample? 92.56 72.16 59.44 79.84 Cannot find because we do not know the average blood pressure values for the other samples
A test of the breaking strength of two different types of cables was conducted using samples of n1 = n2 = 100 pieces of each type of cable. x1 = 1,930 (cable I) s1 = 39 (cable I) x2 = 1,900 (cable II) s2 = 32 (cable II) a) Do the data provide sufficient evidence to indicate a difference in the mean breaking strength of the two cables? Use ? = 0.05. State the null and alternative hypotheses. b) Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) c) state your conclusion.
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 60 and standard deviation of 9.2 grams per mililiter. c) What percentage of compounds formed from the extract of this plant fall within 1 standard deviations of the mean?
8
Q4 i) To check the effectiveness of two brands of refrigerators, time taken for ice cubes to be formed from water in the freezer was compared. Two independent experiments based on 15 refrigerators of each brand were performed and time taken in formation of ice cubes was recorded. Suppose the population variance for both brands is 1.0 hour. Assuming normal distribution and mean time for both brands is equal to 20 hours, find the, а) time taken by B brand (XR) is at least 1.0 hour. Probability that the average time taken by brand A (XA) is higher than average Probability that X, will deviate from X, by at least 45 minutes. How would your answer change if the underlying distribution was not b) c) normal? ii) Find a maximum likelihood estimator of µ for a random sample of X1, X2, ...., Xn taken from a Poisson distribution. Clearly write all the steps. iii) a) If X is distributed as normal with µ= 40 and o²=4, compute three values of the random variable X that divide the distribution in…
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 50 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.05. -What is the value of the sample test statistic? (Round your answer to two decimal places.) -Find the P-value of the test statistic. (Round your answer to four decimal places.)
Two companies manufacture a rubber material in- tended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard de- viation of wear are = 20 milligrams/1000 cycles and s = 2 milligrams/1000 cycles, while for company 2 we obtain = 15 milligrams/1000 cycles and s, = 8 milligrams/1000 cycles. Find a 95% confidence interval on the difference in mean wear µ, - Hz. Assume each population is normally distributed but that their variances are not equal. What is the lower bound? Three decimal places
If the number of eggs laid by sparrows follows a normal distribution, test at a 5% level of significance if the conservationist's claim is true. 6. A medical doctor claims that the proportion of female patients with high blood-pressure is smaller than the proportion of male patients with high blood-pressure. The doctor conducted a survey in his practice. Out of the 100 female patients only 13 had high blood-pressure and out of the 110 male patients, 33 had high blood-pressure. Test the doctor's claim at a 5% level of significance. Assume that the population proportions are equal.

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