Need help with part (b) and (c) Here is the problem: The Scottsdale fire departm

Question

Need help with part (b) and (c)

Here is the problem:

The Scottsdale fire department aims to respond to fire calls in 7 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 18 seconds. Would a sample of 18 fire calls with a mean response time of 7 minutes 19 seconds provide sufficient evidence to show that the goal is not being met at = .01? (a) Choose the appropriate hypotheses a, Ho: s 7 min vs H1: > 7 min, Reject Ho if zcalc > 2.326 b, Ho: z 7 min vs H1: 2.326 (b) Calculate the value of the test statistic. (Round your answer to 3 decimal places.) Zcalc (c) Use Excel to find the p-value. (Round your answer to 4 decimal places.) p-value difa-01, we would Fail to reject the null hypothesis. Reject the null hypothesis

Explanation / Answer

Answer for Part B)

z_calc=(x_bar-m_bar)/(std.dev./sq.rt(n))

x_bar= sample mean= 7 min 18 sec= 438 secs

m_bar= population mean= 7 min =420 secs

Std.dev.= 1min 18 secs=78 secs

Sample size=18

z_calc=(438-420)/(78/sqrt18)=18/78/4.2=75.6/78=0.9790

Answer for C

P value for above z_calc is 0.1640 which is not significant at P<0.06

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