Use the Empirical Rule to answer each question.During 1 week an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 28 ounces and a standard deviation of 7 ounces.(a) What percent of the parcels weighed between 14 ounces and 35 ounces? (Round your answer to one decimal place.) %(b) What percent of the parcels weighed more than 49 ounces? (Round your answer to two decimal places.) %

Parcels of printed matter being posted from the office are always weighted. The weights have been found to be normally distributed with a mean of 8.35kg and a standard deviation of 2.25kg.Find the proportion of parcels whose weights are (i)    less than 10kg    (Give answer correct to 3 decimal places)     (ii)   between 6.5kg and 9kg. (Give answer correct to 3 decimal places)   (iii)  What weight would a parcel need to be to be in the top 15% of weights? (Give answer correct to 2 decimal places)

Assume that the weights of bananas follow a Normal distribution with a mean of 124 grams, and a standard deviation of 17 grams. Suppose that a store receives weekly shipments of 11 Bananas. The store owner will reject the shipment if the average weight is below 125g. What is the probability that the next shipment of Bananas is accepted by the store owner?Give your answer to four decimal places. If the question cannot be answered with the information given, enter -1 as your answer.

ough the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces.Suppose that in a particular sample of 50 packages,the mean amount dispensed is 8.168 ounces,with a sample standard deviation of 0.059 ounce.Complete parts(a)and(b). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. 0· a.Is there evidence that the population mean amount is different from 8.17 ounces?(Use a 0.01 level of significance.) State the null and alternative hypotheses. H0:μ=8.17 H1μ≠8.17 (Type integers or decimals.) Identify the critical value(s). The critical value(s)is(are) (Round to four decimal places as needed.Use a comma to separate answers as needed.) ChatGPT To test whether there is evidence that the population mean amount is different from 8.17 ounces at a 0.01 level of significance, you can set up the null and alternative hypotheses as follows: Null Hypothesis (H0): The population mean amount of candies is equal to 8.17 ounces. H0: μ = 8.17 Alternative Hypothesis (H1): The population mean amount of candies is different from 8.17 ounces. H1: μ ≠ 8.17 To identify the critical value(s) for a two-tailed test at a 0.01 level of significance, you can use a t-distribution table or a calculator. Since the sample size is 50, you have 49 degrees of freedom (df = n - 1). Using a t-distribution table with 49 degrees of freedom and a significance level of 0.01 (two-tailed), you can find the critical values. Typically, for a two-tailed test at 0.01 significance level, the critical values are approximately ±2.6851 (rounded to four decimal places). So, the critical value(s) for this test are approximately ±2.6851. If the calculated t-statistic falls beyond these critical values in either the lower or upper tail, you would reject the null hypothesis.

The amount of water dispensed by a water dispenser is normally distributed, with a mean of 12.10 ounces and a standard deviation of 0.25 ounces. In which range will the amount of water dispensed be found 68% of the time?A.11.60 ounces to 12.60 ouncesB.11.85 ounces to 12.35 ouncesC.11.10 ounces to 13.10 ouncesD.11.35 ounces to 12.85 ouncesSUBMITarrow_backPREVIOUS

A miniature American Eskimo dog has a mean weight of 15 pounds with a standard deviation of 2 pounds. Assuming the weights of miniature Eskimo dogs are normally distributed, what range of weights would 68% of the dogs have? (1 point)Approximately 13–17 poundsApproximately 14–16 poundsApproximately 11–19 poundsApproximately 9–21 pounds