One Friday night, there were 42 carry-out orders at Ashoka Curry Express. (a) Es

Question

One Friday night, there were 42 carry-out orders at Ashoka Curry Express.

(a) Estimate the mean and standard deviation from the sample. (Round your answers to 4 decimal places.).

(b-1) Do the chi-square test at = .025 (define bins by using method 3 (equal expected frequencies). Use 8 bins). (Perform a normal goodness-of-fit test for = .025. Round your answers to 4 decimal places. Do not round your intermediate calculations.)

(b-2) Can you reject the hypothesis that carry-out orders follow a normal population?

18.74 21.05 31.19 23.06 20.17 25.12 24.30 46.04 33.96 45.04 34.63 35.24 30.13 29.93 52.33 26.52 19.68 19.62 32.96 42.07 47.82 38.62 31.88 44.97 36.35 21.50 41.42 33.87 26.43 35.28 21.88 24.80 27.49 18.30 44.47 28.40 36.72 26.30 47.08 34.33 13.15 15.51

Explanation / Answer

ANSWER :-

(a)

mean = 31.1512

standard deviation = 9.8904

(b-1)

chi square = 2.952

df = 8-2-1 = 5

p value = 0.707

(b-2)

NO

As the P value is greater than level of significance we fail to reject the null hypothesis.

Hence the data have enough evidence to conclude that the carry out order follow a normal population

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