Q1) 1. The list shows the number of heartbeats per minute for each of 12 people during different exercises. \[ 86,80,73,75,70,82,72,81,84,82,75,82 \] What is the median number of heartbeats per minute for the data in the list?

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, \( 13 \% \) chose chocolate pie, and the margin of error was given as \( \pm 4 \) percentage points. What values do \( \hat{p}, \hat{q}, \mathrm{n} \), E , and p represent? it the confidence level is \( 99 \% \), what is the value of \( \alpha \) ? The value of \( \hat{p} \) is The value of \( \hat{q} \) is The value of n is The value of E is The value of p is If the confidence level is \( 99 \% \), what is the value of \( \alpha \) ? \( \alpha=\square \) (Type an integer or a decimal. Do not round.)

We measured the flat area of 30 apartments and we have measured the following values in \( \mathrm{m}^{2} \) : \( 82.6,57.3,70.4,65,48.4,103.8,73.6,43.5,66.1,93,52.6,70,84.2,55,81.3,61.5,75.1,34.8 \), \( 62.4,116,70.1,63.6,93,59.2,65.9,77.2,52.8,68.7,79.2,87.4 \). a) Create a table of grouped frequency distribution for the number of classes \( k=9 \). b) Construct a histogram of relative frequencies of the flat areas. c) From the specified values estimate the sample mean and the variance. d) From the middle values of the intervals and from their frequencies estimate the sample mean and the variance.

The 7 . The correlation coefficient between the temperature outside and the number of hats sold is -0.22 , which statement best describes the relationship bebreen the two?

Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size \( n=15 \), are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain. Choose the correct answer below. A. Yes; the sample size must be over 30 for the sample means to be normally distributed. B. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size. C. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size. D. No; as long as more than 30 samples are collected, the sample means will be normally distributed.

Till in the blank. The tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.