The proportion of success in a population is \( p=0.4 \). Find the mean and the standard deviation of the sample proportion \( \hat{p} \) obtained from random samples of size \( n=60 \).

Determine the point estimate of the population mean and margin of error for the confidence interval. Lower bound is 21 , upper bound is 29 . The point estimate of the population mean is 1

What is a scatter plot?

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?

Ork Explain why the \( t \)-distribution has less spread as the number of degrees of freedom increases. Choose the correct answer below. A. The \( t \)-distribution has less spread as the degrees of freedom increase because, as \( n \) increases, 2 of 8 posints information is known about \( \sigma, 9.2 .49 \) by the law of large numbers. B. The \( t \)-distribution has less spread as the degrees of freedom increase because, as \( n \) increases, s becomes closer to \( \sigma \) by the law of large numbers. C. The \( t \)-distribution has less spread as the degrees of freedom increase because, for large values of \( n \), \( n \geq 30 \), the \( t \)-distribution and the normal distribution are the sam D. The \( t \)-distribution has less spread as the degrees of freedom increase because the variability introduced into the \( t \)-statistic becomes greater as \( n \) increases.

The trade magazine QSR routinely checks the drive-through service times of fast-food restaurants. A 99\% confidence interval that results from examining 523 customers in Taco Bell's drive-through has a lower bound of 158.0 seconds and an upper bound of 163.6 seconds. Complete parts (a) through (c). (a) What is the mean service time from the 523 customers? The mean service time from the 523 customers is 160.8 seconds (Type an integer or a decimal. Do not round.) (b) What is the margin of error for the confidence interval? The margin of error is \( \square \) seconds. (Type an integer or a decimal. Do not round.)