Health Canada wishes to estimate the mean amount of mercury μ, in parts per million (ppm), in commerical fish. Specifically, they want to estimate the value of μ to within 0.02, and be 99% confident in their results. Assume that the amount of mercury in commerical fish varies from one fish to another, the standard deviation being σ = 0.3 ppm. How many commerical fish should be randomly chosen, each chosen will have the mercury content measured, to satisfy Health Canadas estimation of μ? (When values from a distribution, use three decimals.) n=

Rachael got a 660 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have mean μ = 600 and standard deviation σ = 30, what is her standardized score?

Erin is a nutritionist and cardiologist. She is testing whether the average total cholesterol level of adults in the region is less than 175mgdL. Erin randomly selects 25 people in the region who willingly allowed their blood to be drawn for the survey. Based on several previous studies, Erin assumes that the population standard deviation for the total cholesterol level is 30.22mgdL. For this test: H0:μ=175; Ha:μ<175, which is a left-tailed test. The test results are: z0=−1.158, p-value is = 0.123   Using a 5% level of significance, which of the following are appropriate conclusions for this hypothesis test?  Select all that apply. Select all that apply: We reject H0.   We fail to reject H0.   At the 5% significance level, the data provide sufficient evidence to conclude that the average total cholesterol level of adults in the region is less than 175mgdL.   At the 5% significance level, the data do not provide sufficient evidence to conclude that…

A​ person's body mass index​ (BMI) is computed by dividing the weight​ (kg) by the square of height​ (m). The accompanying table contains the BMI statistics for random samples of males and females. Assume that the two samples are independent simple random samples selected from normally distributed​populations, and do not assume that the population standard deviations are equal. Let population 1 be females.   Female​ BMI: n=69 x=29.14 s=7.41 Male​ BMI: n=79 x=28.18 s=5.24   The test statistic is   The​ P-value is     Construct a confidence interval appropriate for testing the claim in part​ (a).   The ___​% confidence interval estimate is ___<μ1−μ2<___.

For all parts of this problem, assume that the weights of tomatoes are normally distributed with a mean of 1.8 lbs and a standard deviation of 0.47 lbs.