+_+.+. Step 4: X = mangoes (the sample mean) The point estimate is 98. Step 5: E = Za/2 E = E = Interval estimate x-Za/2 (유)

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Extracted text: Directions. The problem given is about parameter of interest and confidence level. Assure to include your complete solution, a step-by-step process is provided for you. 1. Mang Pedro uses the kaing to assess his harvest of mangoes. After he has used a certain kind of fertilizer, the mangoes yield the following per kaing. 100 92 110 112 90 98 97 106 100 100 90 98 120 108 96 92 95 98 92 102 88 102 98 88 89 90 102 100 100 97 102 100 100 86 87 100 105 97 93 96 89 98 96 96 92 100 98 98 92 100 Consider each kaing (a group) a random sample. From past harvests, the population standard deviation was observed to be 8 mangoes. Find the point and the interval estimates of the population mean µ per kaing, using 98% confidence. Step 1: The parameter of interest is the mean u of the population where the sample comes from. Step 2: The sample information consists of raw scores n = and o = , The sample size of 50 kaing is large enough for the Central Limit Theorem to satisfy the assumption that the sampling distribution of means is normally distributed. The z-test is also applicable. Step 3: The level of confidence is or a = Critical z values:_ This means that if more random samples are taken from the target population and an interval estimate is made for each sample, then 95% of the intervals ill contain the true parameter value.