Problem Bank | IB Math AIHL

[Maximum mark: 9]

A marine biologist records the number of eggs laid by Coho Salmon in Alaska. His results are summarized in the following table.

Number of eggs (x)	0≤x<50	50≤x<100	100≤x<150	150≤x<200	200≤x≤250
Frequency	3	19	18	17	7

Calculate an unbiased estimate for
(i) the mean μ of the population,
(ii) the variance σ2 of the population.
[3]
To earn a crown, get your answer ready before you reveal the options!
By conducting an appropriate test at the 10% significance level, determine whether the number of eggs laid can be modeled by a normal distribution.
[6]

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[Maximum mark: 9]

A marine biologist records the number of eggs laid by Coho Salmon in Alaska. His results are summarized in the following table.

Number of eggs (x)	0≤x<50	50≤x<100	100≤x<150	150≤x<200	200≤x≤250
Frequency	3	19	18	17	7

Calculate an unbiased estimate for
(i) the mean μ of the population,
(ii) the variance σ2 of the population.
[3]
To earn a crown, get your answer ready before you reveal the options!
By conducting an appropriate test at the 10% significance level, determine whether the number of eggs laid can be modeled by a normal distribution.
[6]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!