A 95% confidence interval for $\mu$, the mean mass of cereal in boxes from one factory line, is 498 to 506 grams. The label claims a mean of 500 grams. What does the interval say about 500 grams?

A 90% confidence interval for $p$, the proportion of students at a high school who bike to school, is 0.18 to 0.26. A club claims the proportion is 0.30. What is supported?

A 99% confidence interval for $\mu$, the mean fill volume of shampoo bottles, is 247 to 253 milliliters. A customer claims the mean fill is 245 milliliters. What does the interval support?

A 95% confidence interval for $p$, the proportion of county voters favoring a park bond, is 0.46 to 0.54. A campaign claims support is 0.50. What does the interval say?

A 90% confidence interval for $\mu$, the mean time for a clinic visit, is 32 to 41 minutes. The clinic advertises a mean visit time of 30 minutes. What conclusion is supported?

A 95% confidence interval for $p$, the proportion of seeds from a packet that germinate, is 0.72 to 0.86. The packet claims a germination rate of 0.80. What does the interval support?

A 98% confidence interval for $\mu$, the mean sodium content of soup cans, is 610 to 650 milligrams. A nutrition report lists the mean as 670 milligrams. What is supported?

A 90% confidence interval for $p$, the proportion of bus riders satisfied with a route, is 0.63 to 0.75. A manager says the proportion is 0.70. What does the interval indicate?

A 95% confidence interval for $\mu$, the mean daily water use per household in a town, is 410 to 462 liters. A report claims the mean is 390 liters. What does the interval say?

A 99% confidence interval for $p$, the proportion of laptops needing repair within a year, is 0.04 to 0.09. A warranty model assumes $p=0.06$. What does the interval support?

A 95% confidence interval for $p$, the proportion of a city's households with solar panels, is 0.12 to 0.18. How should this interval be interpreted?

A 90% confidence interval for $\mu$, the mean height of tomato plants in a greenhouse, is 38 to 44 centimeters. How should the interval be interpreted?

A 99% confidence interval for $p$, the proportion of seniors at a school planning college, is 0.68 to 0.82. What is the correct interpretation?

A 95% confidence interval for $\mu$, the mean battery charge time for a tablet model, is 112 to 126 minutes. What does this interval mean?

A 90% confidence interval for $p$, the proportion of museum visitors using audio guides, is 0.31 to 0.39. How should it be read?

A 98% confidence interval for $\mu$, the mean nitrate level in a lake's water samples, is 2.4 to 3.1 milligrams per liter. How should the interval be interpreted?

A 95% confidence interval for $p$, the proportion of online orders delivered late, is 0.07 to 0.11. What interpretation is appropriate?

A 99% confidence interval for $\mu$, the mean time a brand of bulb lasts, is 920 to 1080 hours. What does the confidence interval say?

A 95% confidence interval for $p$, the proportion of registered voters favoring a proposal, is 0.53 to 0.59. Does the interval support the claim that a majority favor it?

A 90% confidence interval for $p$, the proportion of customers who prefer paperless receipts, is 0.47 to 0.56. Does it support saying a majority prefer paperless receipts?

A 99% confidence interval for $p$, the proportion of inspected parts that meet a standard, is 0.91 to 0.96. A contract requires at least 0.90. What does the interval support?

A 95% confidence interval for $\mu$, the mean calcium content of yogurt cups, is 285 to 315 milligrams. A nutrition target is at least 300 milligrams. What does the interval support?

A 90% confidence interval for $\mu$, the mean score on a training quiz, is 82 to 88 points. The program goal is a mean above 80 points. What conclusion is supported?

A 98% confidence interval for $p$, the proportion of residents who support a recycling fee, is 0.44 to 0.49. Does this support a majority supporting the fee?

A 95% confidence interval for $p$, the proportion of shipped packages arriving within two days, is 0.78 to 0.84. A service standard requires at least 0.80. What is supported?

Two independent studies estimate $\mu$, the mean dissolved oxygen level in a stream, at the 99% confidence level. Study A reports 6.1 to 7.4 milligrams per liter, and Study B reports 6.5 to 7.0 milligrams per liter. What does the comparison support?

A 95% confidence interval for $\mu$, the mean backpack mass for students at a school, is 5.8 to 7.2 kilograms. Someone says this means 95% of students carry backpacks in that range. Why is that wrong?

A 90% confidence interval for $p$, the proportion of city trees with storm damage, is 0.22 to 0.30. A resident says any chosen tree has a 90% chance of being damaged. Why is that wrong?

A 99% confidence interval for $\mu$, the mean commute time for workers in a town, is 24 to 36 minutes. A reporter says 99% of workers commute 24 to 36 minutes. What is the error?

A 95% confidence interval for $p$, the proportion of customers who renew a membership, is 0.61 to 0.69. A clerk says this predicts whether a specific customer will renew. Why is that wrong?

A 90% confidence interval for $\mu$, the mean amount of milk in cartons, is 0.98 to 1.02 liters. A shopper says 90% of cartons contain 0.98 to 1.02 liters. What is wrong?

Two intervals for $\mu$, the mean drying time of a paint, come from the same random sample: 42 to 50 minutes and 40 to 52 minutes. Which is the 99% interval?

The same sample of 80 bulbs gives two intervals for $p$, the proportion lasting over 1000 hours: 0.71 to 0.83 and 0.68 to 0.86. Which interval has the higher confidence level?

Two confidence intervals for $\mu$, the mean mass of apples from one orchard, use the same sample: 154 to 166 grams and 151 to 169 grams. Which one is the 95% interval if the other is 90%?

From the same survey, two intervals for $p$, the proportion of families using the town pool, are 0.34 to 0.46 and 0.31 to 0.49. Which interval is the 90% interval if the other is 95%?

One sample gives two intervals for $\mu$, the mean weekly screen time for students: 13.6 to 16.4 hours and 12.9 to 17.1 hours. Which is the 99% interval?

Two 95% intervals estimate $p$, the proportion of library patrons using e-books. Study A reports 0.28 to 0.40, and Study B reports 0.31 to 0.37. Which estimate is more precise?

Two 90% intervals estimate $\mu$, the mean daily steps for students. Study A reports 6800 to 7600 steps, and Study B reports 7000 to 7400 steps. What comparison is supported?

Two independent 95% surveys estimate $p$, the proportion of commuters using trains. Survey A reports 0.14 to 0.22; Survey B reports 0.12 to 0.28. Which survey is more precise?

Two studies estimate $\mu$, the mean sugar content of granola bars, at the 99% level. Study A reports 8.1 to 9.5 grams; Study B reports 8.4 to 9.2 grams. What is supported?