Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 394 pounds. Agriculture scientists believe that the new fertilizer may change the yield. State the appropriate null and alternate hypotheses. The null hypothesis is Hu = The alternate hypothesis is H₁ :μ # 394 ☑ 394 ك

cdn.fbsbx.com 4. A pharmaceutical scientist has developed a drug that is expected to reduce hunger. To test the drug, two samples of rats are selected with n = 20 in each sample. The rats in the first sample receive the drug every day and those in the second sample are given a placebo. The dependent variable is the amount of food eaten by each rat over 1-month period. An ANOVA is used to evaluate the difference between two sample means and the results are reported in the following summary table. Fill in all missing values in each table. SOURCE ss df MS F-value between treatments 20 4.00 Within treatments Total

An experiment was conducted to test the effect of a new cholesterol medicine. Fifteen people were treated with medicine X and 15 with medicine Y for a month, then the subjects' cholesterol level was measured. A significance test was conducted at the a = 0.01 level for the difference in the means of the cholesterol levels between medicine X and medicine Y. The test resulted in t = 2.73 and p = 0.003. If the alternative hypothesis in question was Ha: px - μy ‡ 0, where µx equals the mean cholesterol level for subjects taking medicine X and μy equals the mean cholesterol level for subjects taking medicine Y, what conclusion can be drawn? O There is not a significant difference in mean cholesterol level when using medicine X and medicine Y. O There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y. O There is sufficient evidence that medicine X lowers cholesterol levels more than medicine Y. O The proportion of subjects who…

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A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150

A diet center wanted to test three different methods for losing weight to determine if the average weight loss (reported in pounds/week) for each method is the same. The results for the three methods are tabulated below. Given that there is a significant difference between the three methods, use the Tukey test to determine if there is a significant difference between each pair of methods. Let a=0.05. (picture attached)

Arm circumferences​ (cm) and heights​ (cm) are measured from randomly selected adult females. The  142 pairs of measurements yield x=32.14cm, y=163.36cm, r=.084, P value=.32 and y=160+.111x.  Find the best predicted value of y (height) given an adult female with an arm circumference of 40cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a .05 significance level.

A medical student at a community college in city Q wants to study the factors affecting the systolic blood pressure of a person (Y). Generally, the systolic blood pressure depends on the BMI of a person (B) and the age of the person A. She wants to test whether or not the BMI has a significant effect on the systolic blood pressure, keeping the age of the person constant. For her study, she collects a random sample of 150 patients from the city and estimates the following regression function: Y= 15.50 +0.90B + 1.10A. (0.48) (0.35) The test statistic of the study the student wants to conduct (Ho: B, =0 vs. H4: B, #0), keeping other variables constant is. (Round your answer to two decimal places.) At the 5% significance level, the student will v the null hypothesis. Keeping BMI constant, she now wants test whether the age of a person (A) has no significant effect or a positive effect on the person's systolic blood pressure. So, the test statistic associated with the one-sided test the…

The average American man weighs 197.9 pounds; this can be treated as the population mean. I want to assess whether or not American men at a southwestern college weigh significantly different from the average weight. Test this hypothesis at an alpha of 0.05.  The average American man weighs 197.9 pounds; this can be treated as the population mean. I want to assess whether or not American men at a southwestern college weigh significantly different from the average weight. Test this hypothesis at an alpha of 0.05.  null hypothesis: H0: μ= 197.9 alternative hypothesis: H1: μ ≠ 197.9 Data: 178, 189, 198, 205, 210, 204, 189, 183, 190, 200, 166, 189, 174, 145, 160 degrees of freedom:  N-1 , 15-1, 14 What is the critical t value (t table)? ________ What is the obtained t value? ____________ What can you conclude?

A researcher wonders whether younger mothers have babies that are significantly heavier or lighter than the population average of μ 7.25 pounds. The researcher collects data from N = 35 babies who were born to mothers between the ages of 16 and 18. The average weight for these babies was M = 7.15 pounds (SD = .6 pounds).