(a) If x= 104.4 and s 8.6, compute the test statistic, (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a= 0.01 level of significance, determine the critical values. The critical values are. (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? O A. OB. (d) Will the researcher reject the null hypothesis?

A steel pipe company recently developed a new pipe product for a customer. According to​ specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10​ inches, and the distribution of outside diameters is to be normally distributed. Before going into​ full-scale production, the company selected a random sample of 30 sections of pipe from the initial test​ run, as shown in the accompanying table. Complete parts a and b below. (Data are shown in images)

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The distribution of Mathematics subject scores on the ACT in 2016 was approximately Normal with mean μ = 20.6 and standard deviation o = 6.15. (a) Students with a Math subject ACT score between 18 and 21 can enroll in MAT110E at Missouri Western. What percent of students taking the ACT may enroll in MAT110E? (b) Students must have at least a 22 Math subject ACT score to enroll in College Algebra. What percent of students taking the ACT qualified to enroll in College Algebra? (c) What percent of students taking the ACT had a Math subject score below 15? (d) How high must a student score on the Math subject portion of the ACT to be in the top 10%?

Justin is interested in buying a digital phone. He visited 9 stores at random and recorded the price of the particular phone he wants. The sample of prices had a mean of $264.62 and a standard deviation of $23.34. (a) What critical value t* should be used for a 95% confidence interval for the mean, μ, of the distribution? t* = (b) Calculate a 95% confidence interval for the mean price of this model of digital phone: (Enter the smaller value in the left answer box.) to $ Note: Round your answer to 2 decimal places.

A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.5 seconds. A random sample of 24 sedans has a mean minimum time to travel a quarter mile of 15.4 seconds and a standard deviation of 2.09 seconds. At α=0.01 is there enough evidence to support the consumer​ group's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed.

The thickness (in millimeters) of the coating applied to hard drives is one characteristic that determines the usefulness of the product. When no unusual circumstances are present, the thickness (x) has a normal distribution with a mean of 3 mm and a standard deviation of 0.05 mm. Suppose that the process will be monitored by selecting a random sample of 16 drives from each shift's production and determining x, the mean coating thickness for the sample.   (a) Describe the sampling distribution of x for a random sample of size 16. The distribution of x is        with mean mm and standard deviation 0.0125 mm. (b) When no unusual circumstances are present, we expect x to be within 2? x of 3 mm, the desired value. An x value farther from 3 mm than 2? x is interpreted as an indication of a problem that needs attention. Calculate 3 ± 2? x. 3 − 2? x = mm 3 + 2? x = mm (c) Referring to part (b), what is the probability that a sample mean will be outside 3 ± 2? x just by chance…

tion w E Bb Collaborate - 2020 Fall Term + ed.cuny.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_1729781_1&course_id%3 1968349 1&content id- 53765765 18step=null * Question Completion Status: QUESTION 1 A graphical display of a data set is given. Identify the overall shape of the distribution as (roughly) bell-shaped, triangular, uniform, reverse J-shaped, J-shaped, right skewed, left skewed, bimodal, or multimodal. 1 pc A relative frequency histogram for the sale prices of homes sold in one city during 2006 is shown below. Relative Frequency 0.35 0.30- 0,25 0.20 0.15 0.10 0.05 - 0.00 10 15 20 25 30 35 40 45 Sale price of home ($10,000s) Solution: Right skewed O J-shaped O Right skewed O Left skewed O Reverse J-shaped

Before the furniture store began its ad campaign, it averaged 200 customers per day. The manager is investigating if the average is larger since the ad came out. The data for the 16 randomly selected days since the ad campaign began is shown below:  209, 193, 187, 205, 209, 218, 211, 223, 229, 199, 207, 209, 207, 210, 202, 233 Assuming that the distribution is normal, what can be concluded at the α = 0.10 level of significance? The test statistic     = ______________ (please show your answer to 3 decimal places.)

The two pictures correlate. Please answer both. Thankyou