A Food Marketing Institute found that 58% of households spend more than $125 a week on groceries. Assume the population proportion is 0.58 and a simple random sample of 146 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is more than than 0.48? Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.

A jeep gets 53 highway miles per gallon. Howvever, an SUV believes gas mileage for their new line is much better. In order to test, they collect a random sample of 8 jeeps. The results of the 8 cars tested as as follows: 56, 51, 55, 54, 57, 48, 56, and 51.   If you perform this test at a= .05 level, state the p-value and the conclusion of the test.

You have a uniform distribution whose lowest value is 7 and whose highest value is 15. Find the probability that a randomly selected number from this distribution will be between 9.3 and 10.6.

The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

According to a 2009 Reader's Digest article, people throw away approximately 11% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 111 grocery shoppers to investigate their behavior. What is the probability that the sample proportion exceeds 0.08? Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations.Answer =  (Enter your answer as a number accurate to 4 decimal places.)    Based on past experience, a bank believes that 7.5 % of the people who receive loans will not make payments on time. The bank has recently approved 220 loans.What must be true to be able to approximate the sampling distribution with a normal model? Before proceeding, think about whether the conditions have been met.What are the mean and standard deviation of the sampling distribution of the proportion of people who will not make payments on time in samples of 220?mean, as a decimal…

For a group of 20 students taking a PSDTF test, the mean heart rate was 96 beats per minute, and the standard deviation was 5. Find the 95% confidence interval of the true mean.

Given a scenario where n=100 and p=0.8, find the mean.

The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.