Question

The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 13 flights. To increase arrivals, a new air traffic control procedure is implemented. For the next 30 days of marginal weather, the number of flights is recorded in the table below: 210 215 200 189 179 196 193 209 215 192 202 195 199 188 174 176 197 199 200 213 202 181 196 210 225 195 222 199 208 221 At a 5% significance level, has the mean flights per hour changed relative to before the new procedure was implemented?

Show work please

Answer 1

given data and some necessary calculations:-

sample size(n) = 30

population sd () = 13

here, we will do 1 sample Z test for mean.

hypothesis:-

the test statistic be:-

p value be:-

[ from standard normal table]

decision:-

p value = 0.0174 < 0.05 (alpha)

so, we reject the null hypothesis.

conclusion:-

there is sufficient evidence to claim that the mean flights per hour changed(increased) relative to before the new procedure was implemented at 0.05 level of significance.

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