(4 pts) for each situation, state the null and alternative hypotheses: (type "mu" for the symbol μ , e. g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. do not include units such as "mm" or "$" in your answer.) (a) the diameter of a spindle in a small motor is supposed to be 4.5 millimeters (mm) with a standard deviation of 0.19 mm. if the spindle is either too small or too large, the motor will not work properly. the manufacturer measures the diameter in a sample of 40 spindles to determine whether the mean diameter has moved away from the required measurement. suppose the sample has an average diameter of 4.63 mm. h0 : ha : (b) harry thinks that prices in caldwell, idaho, are higher than the rest of the country. he reads that the nationwide average price of a certain brand of laundry detergent is $23.25 with standard deviation $1.13. he takes a sample from 50 local caldwell stores and finds the average price for this same brand of detergent is $21.30. h0 : ha :

(05.04 mc) a 2012 report from the u.s. surgeon general stated: "another common practice is strategically locating tobacco-related marketing materials where young children will be exposed to them. tobacco industry executives acknowledge that products and advertising should be placed at eye level (pollay 2007), but in california, 48% of stores had at least one cigarette marketing item at or below 3 feet from the floor (feighery et al. 2001)." it was also noted that 25% of cigarette displays were next to candy. in addition, a national study found that about one-third of the stores had tobacco ads at low heights. after california banned counter displays, some stores place cigarettes in transparent displays so product brands could still be seen. why did some stores use transparent units to display the cigarettes? (3 points) to comply with the new rules while still encouraging cigarette purchases via visual exposure to ensure children and minors are not exposed to cigarettes and their eye-catching packaging to minimize exposure to humidity, extending the shelf life of the cigarettes' tobacco to reduce the occurrence of shoplifting, since cigarettes are high-revenue items

*will mark brainliest! * when a company spends resources (labor, money) to give customers "free" items, those costs are called a. investment costs b. economic costs c. scarcity costs d. opportunity costs answer asap!

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?