a) Copy and complete the equation of the line of best fit below. Give any decimals in your answer to 1 d.p.

The reading speed of second grade students in a large city is approximately normal, with a mean of 88 words per minute (wpm) and a standard deviation of 10 wpm. Co (a) What is the probability a randomly selected student in the city will read more than 94 words per minute? The probability is 0.2743 . (Round to four decimal places as needed.) Interpret this probability. Select the correct choice and fill in the answer box within your choice. (Round to the nearest whole number as needed.) A. If 100 different students were chosen from this population, we would expect \( \square \) to read less than 94 words per minute. B. If 100 different students were chosen from this population, we would expect \( \square \) to read exactly 94 words per minute. C. If 100 different students were chosen from this population, we would expect \( \square \) to read more than 94 words per minute.

A random sample of 100 claim amounts \( x_{1}, x_{2}, \ldots, x_{100} \) is obrerved from a Weibull distribution with parameter \( y=2 \), where \( c \) is unknoun. For these data: \( \sum x_{i}=487,926 \quad \sum x_{i}^{2}=976,444,000 \quad \) Median \( =4,500 \) a) Show that the maximum likelihood estimator for \( c \) is given by \( \hat{c}=\frac{n}{\sum x_{i}^{2}} \) b) Estimate the value of \( c \) using the method of moments c) Calculate the method of percentiles estimate of \( c \)

he acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food ite 4.4 insect fragments per ten-gram portion. Complete parts (a) through (c). A. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough. B. The sampling distribution is assumed to be approximately normal. C. The sampling distribution is approximately normal because the sample size is large enough. D. The sampling distribution is approximately normal because the population is normally distributed. (b) What is the mean and standard deviation of the sampling distribution of \( \bar{x} \) assuming \( \mu=4 \) and \( \sigma=\sqrt{4} \) ? H- \( =\square \) (Type an integer or a decimal rounded to three decimal places as needed.)

(b) Suppose a random sample of 51 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of \( \overline{\mathrm{x}} \) is \( \square \) with \( \mu_{\bar{x}}=\square \) and \( \sigma_{\overline{\mathrm{x}}}=\square \). (Round to four decimal places as needed.)

The length of human pregnancies is approximately normal with mean \( \mu=266 \) days and standard deviation o = 16 days Complete parts (a) throug (a) What is the probability that a randomly selected pregnancy lasts less than 262 days? The probability that a randornly selected pregnancy lasts less than 262 days is approximately 0.4013 . (Round to four decimal places as needed.) Interpret this probability. Select the correct choice and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 pregnant individuals were selected independently from this population, we would expect \( \square \) pregnancies to last less than 262 days B. If 100 pregnant individuals were selected independently from this population, we would expect 0 pregnancies to last exactly 262 days. C. If 100 pregnant individuals were selected independently from this population, we would expect \( \square \) pregnancies to last more than 262 days.