A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use= 0.05.

Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8

Entry failures 45 41 53 59 63 51 50 41

Exit failures 46 55 55 60 60 46 50 49

(a)Choose the appropriate hypotheses. Define the difference as Entry Exit.

multiple choice 1

• H₀:_d= 0 versusH₁:_d 0
• H₀:_d 0 versusH₁:_d< 0
• H₀:_d 0 versusH₁:_d> 0

(b)Find the test statistict_calc.(Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)

t_calc=

(c)Find the critical valuet_critfor= 0.05.(Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)

t_crit=

(d)Find thep-value.(Round your answer to 4 decimal places.)

p-value=

(e)State your conclusion.

We

(Click to select)

fail to reject

reject

the null hypothesis.

I'm having problems caluclating questions b, c, d. Please help thank you in advance.