Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of 0.22 inches and a standard deviation of 0.05 inches. What proportion of woodlice have antenna lengths that are at most 0.23 inches? Round your answer to at least four decimal places. ?

The following data are the distances from the workplace (in miles) for the  5 employees of a small business. 14, 3, 8, 13, 2 Assuming that these distances constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.

Suppose that the average reading speed of students completing a speed-reading course is 500 words per minute (wpm). If the standard deviation is 70 wpm, find the z score associated with each of the following reading speeds. (Round the answers to two decimal places.) 350 wpm 525 wpm 460 wpm 650 wpm

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.The artifact frequency for an excavation of a kiva in Bandelier National Monument gave the following information. Stratum Flaked Stone Tools Nonflaked Stone Tools 1 10 2 2 10 3 3 9 2 4 1 3 5 4 7 6 38 32 7 51 30 8 25 12   What is the value of the sample test statistic? (Round your answer to three decimal places.)

According to a recent​ publication, the mean price of new mobile homes is ​$60,400. Assume a standard deviation of ​$7900. Let x denote the mean price of a sample of new mobile homes.   a. For samples of size 25​, find the mean and standard deviation of x. Interpret your results in words.   b. Repeat part​ (a) with n=50.   a. For ________________________ (Samples of 25 mobile homes, the 25 mobile homes sampled ) the mean and standard deviation of _____________ (all possible sample mean prices, the prices of the mobile homes) are $_______________ and $________________, respectively. (Round to the nearest cent as needed)   b. For ________________________ (Sample of 50 mobile homes, the 50 mobile homes sampled) the mean and standard deviation of _____________ (all possible sample mean prices, the prices of the mobile homes) are $_______________ and $________________, respectively. (Round to the nearest cent as needed)