a)
for normal distribution z score =(X-μ)/σx | |
mean μ= | 210 |
standard deviation σ= | 12.00 |
sample size =n= | 9 |
std error=σx̅=σ/√n= | 4.000 |
type I error =1-P(204<X<216)=1-P((204-210)/4)<Z<(216-210)/4)=1-P(-1.5<Z<1.5)=1-(0.9332-0.0668)=0.1336 |
b)
type II error =P(204<X<216)=P((204-198)/4)<Z<(216-198)/4)=P(1.5<Z<4.5)=1-0.9332=0.0668 |
A soft-drink machine at a steak house is regulated so that the amount of drink dispensed...
10.3.16 A sofh-trink machine at a steak house is regulated so that the amount of drink dspensed is approximatoly nomally periodical, by taking a sample of 16 drks and corpving the erage content t i 'alk in me interval T1--189. the machine is thought to be opeating satelactedy ethnise the aner eadde tat-, ta Conmplete pans (a) and (b) below an table (a) Find the pobat lity of commiting a type lomor when μ-180 mililters The probebility is 0 0026...
A soft-drink vending machine can be regulated to ensure that it dispenses an average of 6 oz. of soft drink per glass. If the ounces dispensed per glass are normally distributed with a standard deviation of 0.3 oz., find the probability for a sample of 5 bottles, that the machine will average more then 6.3 ounces.
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.7 ounces and standard deviation of 0.3 ounce. Examine the figure below and answer the following questions. a.) Estimate the probability that the machine will overflow and 8-ounce cup. (Round your answer to two decimal places.) b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal...
A soft-drink machine is regulated to discharge an average of 7 ounce per cup. The amount of drink is considered normally distributed with a standard deviation of 0.5 ounce. What is the probability that a cup chosen at random will contain 7. C2 7,8 a) between 6.5,andR2 ounce? b) exactly 7.0 ounce? c) less than 7.3 ounce? d) If the cups hold exactly 8 ounces, what is the probability that a cup will overflow? e) What should be cup's size...
A vending machine dispenses coflee into a söteen-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.07 ource. You can alow the cup to overfil 10% of the time what amount should you set as the mean amount of coffee to be dispensed? Click to view page 1 of the table. Click to view page 2 of the table ounces (Round to two decimal places as needed.) Incorrect: 1 Enter your...
Consider the following hypotheses Ho: H 120 H1 : #120 Given that σ-28, n-49, and α-0.02, calculate β for the conditions stated in parts a and b below. Click here to view page 1 of the Standard Normal Distribution table. Click here to view page 2 of the Standard Normal Distribution table α) μ 118 The probability of committing a Type ll error is (RoundtofurdecimalplangaasnellerrorisD
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The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean u = 7.9 minutes and a standard deviation o = 3.6 minutes. If a random sample of 81 customers is observed, find the probability that their mean time at the teller's window is (a) at most 7.3 minutes; (b) more than 8.7 minutes; (c) at least 7.9 minutes but less than 8.3 minutes. Click here to view page 1 of...
Consider the following hypotheses. Hos 30 H4> 30 Given that o = 6, n = 42, u = 32, and a = 0.05, calculate B. Click here to view page 1 of the table. Click here to view page 2 of the table. The probability of committing a Type Il error, B, is (Round to four decimal places as needed.)