When a poultry farmer uses his regular feed, the newborn chickens have normally distributed weights with a mean of 61.4 oz. In an experiment with an enriched feed mixture, ten chickens are born with the following weights (in ounces). 65.7, 61.5, 67, 64.1, 67.7, 64.2, 67.1, 66.4, 65.3, 63.4 Use the a = 0.05 significance level to test the claim that the mean weight is higher with the enriched feed.

In a random sample of   925   plain​ M&M's, 19% were blue. Use a 0.01 significance level to test the claim of​ Mars, Inc. that​ 24% of its plain​ M&M candies are blue. a. Define the parameter     A. p​ = The proportion of all​ M&M's that are blue   B. mu   ​= The proportion of all​ M&M's that are blue   C. mu   ​= The mean number of all​ M&M's that are blue   D. p​ = The proportion of all​ M&M's that are not blue   b. State the null and alternative hypotheses     A. Upper H 0 : p greater than 0.24 Upper H 1 : p equals 0.24     B. Upper H 0 : p equals 0.19 Upper H 1 : p not equals 0.19     C. Upper H 0 : p equals 0.24 Upper H 1 : p not equals 0.24     D. Upper H 0 : mu not equals 0.24 Upper H 1 : mu equals 0.24     c. Calculate the test statistic. Which of these options is closest to the test​ statistic?     A. negative 4.00     B. negative 3.65     C.…

Find the​ range, variance, and standard deviation for the given sample​ data, if possible. If the measures of variation can be obtained for these​ values, do the results make​ sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype​ codes, where 1 equals ​smooth-yellow, 2 equals ​smooth-green, 3 equals wrinkled ​yellow, and 4 equals ​wrinkled-green.   a. The range of the sample data is ​(Type an integer or a decimal. Do not​ round.)   b. the standard deviation of the sample data is ​(Round to one decimal place as​ needed.)   c. The variance of the sample data is ​(Round to one decimal place as​ needed.)

A dietitian wishes to see if a person's cholesterol level will change if the diet is supplemented by a certain mineral. Seven subjects were pretested and then took the mineral supplement for a six-week period. The results are shown below in the table. Use a paired samples t-chart at a = 0.01 significance level to see difference (Before - After) between the cholesterol levels. State the hypotheses and conclusion. Also, conduct a 99% confidence interval. Subject 1 Before 210 After 190 2 205 170 3 208 210 4 192 188 5 178 173 6 244 228 7 211 198

The mean potassium content of a popular sports drink is listed as 132 mg in a 32-oz bottle. Analysis of 24 bottles indicates a sample mean of 131.2 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content.. a. Ho: μ= 132 mg vs. H₁: b. He: ≤132 mg vs. H₁: c. He: ≥132 mg vs. H₁: Oa Ob Oc (b) Assuming a known standard deviation of 2.1 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) Test statistic 132 mg >132 mg <132 mg (c) At the 2 percent level of significance (a = .02) does the sample contradict the manufacturer's claim? Decision Rule: Reject Ho

Listed below are the lead concentrations in μ​g/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 21 μ​g/g. Assume that the sample is a simple random sample.   19.5      21      7.5      19      14      20      10      12      21.5      16.5