Fasting concentrations (mmol/L) of glucose in blood were measured in a sample of diabetic patients implanted with a new insulin delivery platform.

Computer simulations of the platform predicted a fasting glucose level of 4.5 mmol/L.

Use a statistical test to fundament your opinion on whether the data is consistent with the model prediction.

1. Identify suitable null and alternative hypotheses.
2. Is a t-test is suitable for this problem. Why?
3. Calculate critical values for a significance level of 0.01. Is the data is consistent with the computer model? Justify
4. Calculate p-value. Is the data is consistent with the computer model? Justify.

Typhoon Corp. has estimated the following activity rates, activity consumption, and direct costs for their Whirlpool Surfboard product line. Assume that Typhoon plans to manufacture and sell 100,000 units of the Whirlpool Surfboard product, generating $15,000,000 in sales revenue. What is the Whirlpool Surfboard product line profit using activity-based costing? Activity Activity Rate Customer relations $2,000 per customer Product design $10,000 per design Manufacturing $50 per machine hour Organization-sustaining N/A Traceable Direct Costs Cost per unit Direct Material $40.00 Direct Labor $27.00 Shipping $4.00 Whirlpool Surfboard Activity Consumption 400 customers 80 designs 50,000 machine hours A. $10.9 million B. $3.8 million C. $7.9 million D. $8.3 million

1. A search using the Web search engine Bing^TM for "asteroid" yielded 24.8 million Web sites containing that word. A search for "comet" yielded 95.0 million sites. A search for sites containing both words yielded 3.8 million sites. How many Web sites contained either "asteroid" or "comet" or both? HINT [See Example 1.]
million sites

2. On a particularly boring transatlantic flight, one of the authors amused himself by counting the heads of the people in the seats in front of him. He noticed that all 26 of them either had black hair or had a whole row to themselves (or both). Of this total, 23 had black hair and 8 were fortunate enough to have a whole row of seats to themselves. How many of the black-haired people had whole rows to themselves?
people

Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. Assume the population standard deviations are not the same. The following is the amount ($000) earned per month by a sample of 15 Claiborne models:

A.) Find the degrees of freedom for unequal variance test. (round down to nearest whole #)

B.) State the decision rule for 0.10 significance level. (round to 3 decimal places)

C.) Compute the value of the test statistic. (round to 3 decimal places)

4. Calculate the equilibrium concentration of Ag⁺ (aq) in a solution that is initially 0.150 M AgNO₃ and 0.500 M KCN. The formation constant for [Ag(CN)₂]^- (aq) is K_f= 1.0 x 10²¹

a. 8.9 x 10^-21 M

b. 2.3 x 10 ^-21 M

c. 4.3 x 10 ^-22 M

d. 7.5 x 10 ^-22 M

e. 3.8 x 10 ^-21 M

5. If a solution of Pb(NO₃)₂ (aq) is mixed with a solution of NaBr(aq), what condition would cause precipitation of PbBr₂ (s) to occur?

a. When [Na⁺][NO₃^-] < K_sp for PbBr₂

b. When [Pb²⁺][Br ^-]² < K_sp for PbBr₂

c. When [Pb²⁺][Br ^-] < K_sp for PbBr₂

d. When [Pb²⁺][Br ^-]² > K_sp for PbBr₂

e. When [Pb²⁺][Br ^- ] > K_sp for PbBr₂

Find the mean and standard deviation of the times and icicle lengths for the data on run 8903 in data data168.dat. Find the correlation between the two variables. Use these five numbers to find the equation of the regression line for predicting length from time. Use the same five numbers to find the equation of the regression line for predicting the time an icicle has been growing from its length. (Round your answers to three decimal places.)

time    length
10      3.3
20      .6
30      3.8
40      6.7
50      8.7
60      10.6
70      10.1
80      12.4
90      15.3
100     14.1
110     17.4
120     18.2
130     19.7
140     23.1
150     23.7
160     27.9
170     27.9
180     29.4

Find the mean and standard deviation of the times and icicle lengths for the data on run 8903 in data data301.dat. Find the correlation between the two variables. Use these five numbers to find the equation of the regression line for predicting length from time. Use the same five numbers to find the equation of the regression line for predicting the time an icicle has been growing from its length. (Round your answers to three decimal places.)

time    length
10      1.7
20      3.8
30      5.2
40      7.6
50      8.4
60      9.9
70      10.1
80      9.4
90      12.4
100     17.5
110     16.4
120     19.3
130     22.5
140     23.5
150     25.8
160     26.7
170     28.8
180     29.8

The data in the table is the number of absences for 7 students and their corresponding grade. Number of Absences 2 3 3 5 5 6 6 Grade 3.8 3.6 3.2 2.5 2.1 2 1.7 Table

Step 1 of 5 : Calculate the sum of squared errors (SSE). Use the values b0=4.8669 and b1=−0.5056 for the calculations. Round your answer to three decimal places.

Step 2 of 5 : Calculate the estimated variance of errors, s2e. Round your answer to three decimal places.

Step 3 of 5 : Calculate the estimated variance of slope, s2b1. Round your answer to three decimal places.

Step 4 of 5 : Construct the 98% confidence interval for the slope. Round your answers to three decimal places.

Step 5 of 5 : Construct the 80% confidence interval for the slope. Round your answers to three decimal places.