The price per share of stock for a sample of $25$ companies was recorded at the beginning of the first financial quarter and then again at the end of the first financial quarter. How stocks perform during the first financial quarter is an indicator of what is ahead for the stock market and the economy.

Company

End of $1$st quarter

Beginning of $1$st quarter

Bank of New York Mellon

$54\mathrm{.}19$

$53\mathrm{.}82$

Kraft Foods

$55\mathrm{.}70$

$77\mathrm{.}02$

E$.$I. du Pont de Nemours and Company

$102\mathrm{.}57$

$109\mathrm{.}00$

Consolidated Edison

$79\mathrm{.}95$

$83\mathrm{.}58$

Johnson & Johnson

$126\mathrm{.}01$

$139\mathrm{.}23$

Union Pacific

$132\mathrm{.}73$

$135\mathrm{.}78$

Comcast

$32\mathrm{.}06$

$41\mathrm{.}07$

Applied Materials

$50\mathrm{.}91$

$53\mathrm{.}04$

Pfizer

$35\mathrm{.}40$

$36\mathrm{.}44$

General Electric

$14\mathrm{.}05$

$17\mathrm{.}98$

AT&T

$32\mathrm{.}54$

$38\mathrm{.}54$

Cisco Systems

$44\mathrm{.}83$

$38\mathrm{.}86$

Home Depot

$184\mathrm{.}63$

$188\mathrm{.}03$

JP Morgan Chase

$108\mathrm{.}78$

$107\mathrm{.}95$

Procter & Gamble

$71\mathrm{.}96$

$90\mathrm{.}65$

Verizon

$48\mathrm{.}82$

$53\mathrm{.}53$

Devon Energy

$36\mathrm{.}20$

$42\mathrm{.}23$

Lilly

$79\mathrm{.}07$

$84\mathrm{.}68$

Microsoft

$95\mathrm{.}00$

$85\mathrm{.}95$

Coca Cola

$42\mathrm{.}59$

$45\mathrm{.}59$

Qualcomm

$50\mathrm{.}82$

$65\mathrm{.}20$

Exxon Mobil Corporation

$76\mathrm{.}95$

$85\mathrm{.}03$

PG&E Corporation

$46\mathrm{.}27$

$44\mathrm{.}49$

Oracle Corporation

$45\mathrm{.}95$

$46\mathrm{.}63$

Chevron

$129\mathrm{.}86$

$127\mathrm{.}58$

$($b$)$

What is the $95\%$ confidence interval estimate of the population mean percentage change in the price per share of stock during the first quarter? $($Round your answers to one decimal place.$)$

$\_\_\_\_\_\_\%$ to $\_\_\_\_\_\%$