The total cholesterol levels for women aged 20 to 30 years are normally distributed with μ=190 mg/dl and σ=40 mg/dl. A sample of 25 women in this age-group is randomly selected. What range of cholesterol series is expected for the middle 99% of all sample means?

Women are recommended to consume 1790 calories per day. You suspect that the average calorie intake is larger for women at your college. The data for the 11 women who participated in the study is shown below: 2035, 2079, 1842, 1923, 1701, 1889, 1691, 1731, 1730, 2006, 1954 Assuming that the distribution is normal, what can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? p μ  Select an answer = > < ≠         H1:H1:  ? μ p  Select an answer ≠ < = >     The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer accept fail to reject reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean calorie…

Find the proportion of N.d. observations with a zz-score between z_1 =z1​= -2.45 and z_2 =z2​= 2.71. Give your answer to four decimal places.

A particular fruits’ weights are normally distributed, with a mean of 312 grams, and a SD of 20 grams. If you pick 6 fruits at random, then 16% of the time, their mean weight will be greater than how many grams? (Give the answer to the nearest gram)