A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.3 ounces of coffee per cup. BIG has good reason to believe that the mean amount of coffee dispensed by the machine, μ, is different from 7.3 ounces, and plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.8 ounces and that the standard deviation is 0.6 ounces. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? Ho H₁:0 (b) Suppose that BIG decides to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ Type I (c) S Type II I error. Jean amount of coffee dispensed by the machine is 7.3 ounces. Fill in the blanks to describe a Type A Type I error would be (Choose one) ▼ the hypothesis that μ is (Choose one) when, in fact, μ is (Choose one) (Choose one) H O0 0=0 0#0 S

At most 31% of car crashes occur within 2 miles of the motorists home. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).H0:pH0:p _________H1:pH1:p _________Use the following codes to enter the following symbols:     ≥≥ enter >=     ≤≤ enter <=     ≠≠ enter !=

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If P(A) = 0.52, P(B) = 0.45 and P(A u B) = 0.76, then P(B | A) = (Enter a number between 0 and 1, using two decimal points)

(d) Compute the least common multiple of 336 = 24.3.7 and 180 = 2².3².5. Include an explanation of your method (if you cite facts from lectures or coursework, you need not prove them).

Answer the following questions

Claim: A minority of adults would erase all of their personal information online if they could. A software firm survey of 499 randomly selected adults showed that 35% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information. (Type an integer or a decimal. Do not round.)

According to a​ study, 58​% of all males between the ages of 18 and 24 live at home. ​ (Unmarried college students living in a dorm are counted as living at​ home.) Suppose that a survey is administered and 152 of 226 respondents indicated that they live at home.​   ​(1a) ​P(X≥152​)=__________ ​(Round to four decimal places as​ needed.)   ​(1b) Do the results from part​ (a) contradict the​ study? yes or no

Claim: A majority of adults would erase all of their personal information online if they could. A software firm survey of 691 randomly selected adults showed that 56% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information. ▼ ▼ (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. C Ho: ▼ ▼ H₁: ▼ ▼ (Type integers or decimals. Do not round.)

At least 34% of workers indicate that they are mildly dissatisfied with their job. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).H0:p ____H1:p ____ Use the following codes to enter the following symbols:     ≥ enter >=     ≤ enter <=     ≠ enter !=