6 A team of conservationists capture and measure the weight of 100 adult New Zealand kaka. The results are set out in the following table. Weight | Number of kakas (g) (frequency) 390-410 410-430 16 430-450 23 450-470 17 470-490 11 490-510 510-530 6. 530-550 6. 550-570 (a) Find the sample mean weight ī and standard deviation s. (b) Assuming that a and s are good approximations to u and o, fit a normal distribution to this data by obtaining the expected frequencies, to two decimal places. (c) Perform a goodness-of-fit test for the normal model and make a conclusion regarding the suitability of the model to describe this data.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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6 A team of conservationists capture and measure the weight of 100 adult New Zealand kaka.
The results are set out in the following table.
Weight
Number of kakas
(g)
(frequency)
390-410
7
410-430
16
430-450
23
450-470
17
470-490
11
490-510
510-530
6.
530-550
6.
550-570
(a) Find the sample mean weight a and standard deviation s.
(b) Assuming that i and s are good approximations to u and o, fit a normal distribution to
this data by obtaining the expected frequencies, to two decimal places.
(c) Perform a goodness-of-fit test for the normal model and make a conclusion regarding the
suitability of the model to describe this data.
Transcribed Image Text:6 A team of conservationists capture and measure the weight of 100 adult New Zealand kaka. The results are set out in the following table. Weight Number of kakas (g) (frequency) 390-410 7 410-430 16 430-450 23 450-470 17 470-490 11 490-510 510-530 6. 530-550 6. 550-570 (a) Find the sample mean weight a and standard deviation s. (b) Assuming that i and s are good approximations to u and o, fit a normal distribution to this data by obtaining the expected frequencies, to two decimal places. (c) Perform a goodness-of-fit test for the normal model and make a conclusion regarding the suitability of the model to describe this data.
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