2.5 Statistical Hypothesis Testing

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Question 76

An agricultural scientist is investigating whether vacuum-sealing organic blueberries extends their shelf-life compared to standard ventilated containers. The shelf-life, $T\,$ days, was recorded for two independent random samples.

A random sample of 80 containers using standard ventilated packaging, and an independent random sample of 60 containers using vacuum-sealed packaging, were monitored. The results are summarized in the table below:

Sample Group	Sample size ( $n$ )	$∑T\sum T$	$∑T2\sum T^2$	Unbiased estimate of mean	Unbiased estimate of variance
Standard	80	960	12400	$Tˉ\bar{T}$	$s^2$
Vacuum-sealed	60	-	-	13.5	14.2

Find the values of $Tˉ\bar{T}$ and $s^2\,$ for the standard ventilated packaging.

[3]

Test, at the 1% level of significance, whether there is evidence that the mean shelf-life of the blueberries is greater when vacuum-sealed. State your hypotheses clearly.

[7]

2.5 Statistical Hypothesis Testing

Question 76

Sample Group	Sample size ( $n$ )	$∑T\sum T$	$∑T2\sum T^2$	Unbiased estimate of mean	Unbiased estimate of variance
Standard	80	960	12400	$Tˉ\bar{T}$	$s^2$
Vacuum-sealed	60	-	-	13.5	14.2

Find the values of $Tˉ\bar{T}$ and $s^2\,$ for the standard ventilated packaging.

[3]

Test, at the 1% level of significance, whether there is evidence that the mean shelf-life of the blueberries is greater when vacuum-sealed. State your hypotheses clearly.

[7]

2.5 Statistical Hypothesis Testing

Question 76

Markscheme

2.5 Statistical Hypothesis Testing

Question 76

Markscheme

2.5 Statistical Hypothesis Testing

Question 76

2.5 Statistical Hypothesis Testing Questions

2.5 Statistical Hypothesis Testing

Question 76

2.5 Statistical Hypothesis Testing Questions