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Answer :
Final answer:
The probability that the mean weight of 35 shoppers is greater than 160 is approximately 0.065.
Explanation:
To find the probability that the mean weight of 35 shoppers is greater than 160, we can use the normal distribution and the properties of z-scores. First, we need to standardize the mean weight value using the formula: z = (x - μ) / (σ / √n), where x = 160, μ = 155, σ = 22, and n = 35. Calculating this, we get z = (160 - 155) / (22 / √35) = 1.52. Next, we can find the probability using the standard normal distribution table or a calculator. The probability of z being greater than 1.52 is approximately 0.065, which corresponds to option D - 0.05.
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