Invertase is an enzyme that may aid in spore germination of the fungus Colletotrichum graminicola. A botanist incubated specimens of the fun

Question

Invertase is an enzyme that may aid in spore germination of the fungus Colletotrichum graminicola. A botanist incubated specimens of the fungal tissue in petri dishes and then assayed the tissue for invertase activity.
The specific activity values for nine petri dishes incubated at 90% relative humidity for 24 hours are summarized as follows:
Mean=5,111 units And SD = 818 units

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Farah 5 months 2021-08-11T11:31:24+00:00 1 Answers 0 views 0

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    2021-08-11T11:33:16+00:00

    This question is incomplete, the complete question is;

    Invertase is an enzyme that may aid in spore germination of the fungus Colletotrichum graminicola.

    A botanist incubated specimens of the fungal tissue in petri dishes and then assayed the tissue for invertase activity.

    The specific activity values for nine petri dishes incubated at 90% relative humidity for 24 hours are summarized as follows:

    Mean = 5,111 units And SD = 818 units

    Assume that the data are a random sample from a normal population. Construct a 95% confidence interval for the mean invertase activity under these experimental conditions.

    Answer: 95% confidence interval for the mean is ( 4482.2309, 5739.7691 )

    Step-by-step explanation:

    Given that;

    mean x” = 5,111

    standard deviation σ = 818

    sample size n = 9  

    df = 9-1 = 8

    95% confidence interval; ∝ = ( 1-0.95) = 0.05

    so

    tₙ₋₁,∝/2 = t₉₋₁, 0.05/2 = t₈, 0.025

    t₈, 0.025 =  2.306     { from table }

    so at 95% confidence interval, μ will be;

    x” ±  t₀.₀₂₅ × s/√n

    we substitute

    5111 ±  (2.306 × 818/√9)

    5111 ±  (2.306 × 272.6666)

    5111 ± 628.7691

    ⇒ 5111 – 628.7691, 5111 + 628.7691

    4482.2309, 5739.7691

    Therefore, 95% confidence interval for the mean is ( 4482.2309, 5739.7691 )

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