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2) In an experiment to determine whether there is a systematic difference between the weights obtained two different mass balances, six specimens were weighed, in grams, on each balance. The following were obtained: Specimen 1 2 3 4 5 6 A 12.31 9.60 10.06 6.21 6.49 10.30 B 12.34 9.58 10.07 6.20 6.47 10.29 State the hypotheses and compute the test statistic. D = A - B

In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen 1 10.16 10.17 10.88 10.87 10.49 10.48 5.29 5.28 8.25 8.26 7.58 7.54 State the null and alternate hypotheses. 234 56

In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen 13.76 13.74 12.47 12.45 10.09 10.08 8.91 8.92 13.57 13.54 12.74 12.75 Can you conclude that the mean weight differs between the two balances? i). State the null and alternative hypotheses. ii). Compute the test statistic. iii). State a conclusion using the a = 0.05 level of significance. 123 456

In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen A 1 14.86 14.83 2 9.44 9.41 3 11.99 11.99 4 9.27 9.26 5 6.13 6.13 13.78 13.76 It is reasonable to assume that the population of differences is approximately normal. A hypothesis test was carried out to determine if the mean weight differs between the balances. The results from this hypothesis test procedure carried out in Excel are presented below. You may use this information to answer the questions that follow. t-Test: Paired Two Sample for Means A B Mean 10.91166667 10.89666667 Variance 10.54093667 10.49502667 Observations 6 6 Pearson Correlation 0.999993349 Hypothesized Mean Difference df 5 t Stat 2.66556995 P(T<=t) one-tail 0.022292412 t Critical one-tail 2.015048373 P(T<=t) two-tail t Critical two-tail 0.044584824 2.570581836 a. Give the value of the…

10) In an experiment to determine whether there is a systematic difference between the weigl obtained with two different mass balances, six specimens were weighed, in grams, on ea balance. The following data were obtained: Specimen A 1 9.65 9.66 13.46 13.44 7.74 7.72 4 9.44 9.42 10.64 10.59 6. 13.23 13.22 State the null and alternate hypotheses. A) Hoi Ha=0, H1:Ha0, H1: Ha< 0

In an experiment to determine whether there is asystematic difference between the weightsobtained with two different scales, 10 rockspecimens were weighed, in grams, on eachscale. The following data were obtained:  Specimen        weight scale 1        weight scale 2      1                   11.23                     11.27      2                   14.36                      14.41      3                     8.33                        8.35      4                    10.50                      10.52      5                    23.42                       23.41      6                     9.15                         9.17      7                    13.47                       13.52      8                       6.47                         6.46      9                     12.40                      12.45     10                    19.38                       19.35 Can you conclude that the mean weight differsbetween the scales? Use a 1% level ofsignificance. Assume that the weights arenormally…

--In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock specimens were weighed, in grams, on each scale. The following data was obtained:   1 2 3 4 5 6 7 8 9 10 Weight on scale 1 11.14 15.38 8.33 10.30 23.44 9.13 13.46 6.44 12.51 19.35 Weight on scale 2 11.2 15.43 8.39 10.33 23.41 9.14 13.50 6.43 12.54 19.34   Construct a 96% confidence interval for the mean difference in weight between the two scales. Interpret the results. INTERPRET THE RESULTS

Two methods of determining fat content in milk are being tested. Samples are taken from 6 different milk cartons and both methods are used on a sample from each container. The readings are Carton 1 2 3 4 5 6 Method A: 2.2 1.7 2.0 1.9 2.1 2.3 Method B: 1.8 2.1 1.9 1.4 2.1 1.7 (A-B) 4 -4.1 50 .6 From Minitab Output: N Method A Method B 6 6 Mean 2.033 1.833 StDev .216 .266 Difference 6 .200 .374 To test the null hypothesis Ho that there is no difference in the two methods of determining fat content, the lowest level of significance to reject the null hypothesis is: OA: 0.20 B: 0.15 OC: 0.25 OD: 0.10 E: 0.05

.  What is the appropriate analysis? Using statistical equations, give complete statements of the null and alternative hypotheses. Give any appropriate equations that may be generated by the analysis.

Twenty patients sampled at random were matched by age and BMI. One of each pair was assigned at random to a new treatment and the other to an existing treatment. Ultrasound examination of a certain tumour weight (in grams) produced the following results. Existing Treatment 15.5 8.5 10.6 12.5 6.5 8.4 10.5 10 New Treatment 14 5.7 9 11.5 10 7 7.5 8 9.9 10.5 Find a 90% confidence interval for the mean difference in the treatments.

The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b). Population A: n = 13 S² = 59.5 s² = 28.2 Population B: n = 21 a. At the 0.05 level of significance, is there evidence of a difference between o? and ?? Determine the hypotheses. Choose the correct answer below. OA. Ho: 0² #02/2 H₁:0² = 0² O C. Ho: o² = 0²/2 H₁:0² #0² Use technology to find the test statistic, FSTAT. FSTAT (Round to two decimal places as needed.) Use technology to determine the p-value. p-value = (Round to three decimal places as needed.) Reach a decision. The upper-tail critical value of F is (Round to two decimal places as needed.) What is your statistical decision? Ho. There is OB. H₂:0² 20² H₁:0² o2? What is your statistical decision? evidence that o² > 0²/2. OD. Ho: 0² ≤0²/2 H₁: 0²12 > 0²/22

If other factors are held constant, which set of sample characteristics is most likely to lead a researcher to reject a null hypothesis stating that µ = 80?     a. M = 85 and s2 = 9   b. M = 90 and s2 = 9   c. M = 85 and s2 = 18   d. M = 90 and s2 = 18

A. Find the FSTAT  B. Find the P-value

Twenty patients sampled at random were matched by age and BMI. One of each pair was assigned at random to a new treatment and the other to an existing treatment. Ultrasound examination of a certain tumour weight (in grams) produced the following results. Existing Treatment 15.5 8.5 10.6 12.5 6.5 8.4 10.5 8 7 7.5 10 New Treatment 14 5.7 9 11.5 10 8 9.9 10.5 Test whether there is a difference in the two treatments at 5% level of significance.

Twenty patients sampled at random were matched by age and BMI. One of each pair was assigned at random to a new treatment and the other to an existing treatment. Ultrasound examination of a certain tumourtwdght (in grams) produced the following results. 12.5 6.5 10.5 8. 9.9 10.5 Existing Treatment 15.5 5. 8.5 10.6 8.4 10 New Treatment 14 5.7 11.5 10 7 7.5 8. To answer the following questions, report the numerical computations to four decimal places. (a) Test whether there is a difference in the two treatments at 5% level of significance. (b) Find a 90% confidence interval for the mean difference in the treatments. (c) What would be the conclusion in (a) if we had wrongly ignored the pairing?

When data are collected in a statistical study for only a portion or subset of all elements of interest the researcher is using a: O a. sample. O b. statistic. O c. parameter. O d. population. PAGE NEXT PAGE u.om/mod/quiz/attempt.php?attempt=1766687&cmid%3872697&page=13#

D In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen 2 3 4 5 A 9.65 13.46 7.74 9.44 10.64 13.23 B 9.66 13.44 OHH-O.H₂H-0018 OHO.H₂H0 ⒸH₂-OH₂₂0 OHHOH₂O 7.72 9.42 10.59 13.22 State the null and alternate hypotheses.

A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 104.3 89.6 89.9 95.6 95.2 90.0 98.8 103.7 98.3 106.4 102.0 91.1   a)Does this data suggest that the population mean reading under these conditions differs from 100? State and test the appropriate hypotheses using =.05.   b) Suppose that prior to the experiment, a value of teta=7.5 had been assumed. How many determinations would then have been appropriate to obtain beta=.10 for the alternative u=95 ?

To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine Machine 1 2 6.4 7.9 5.2 7.5 8.4 7.2 9.0 Ho: M₁ M₂ H₂: M₁ = M₂ 7.6 9.7 10.4 9.4 10.3 = Machine 3 M3 M4 10.8 M3 = μ4 10.0 9.3 10.1 9.0 8.4 Machine 4 10.0 12.7 12.0 (a) At the α = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines? State the null and alternative hypotheses. O Ho: At least two of the population means are equal. H₂: : At least two of the population means are different. 10.8 O Ho: Not all the population means are equal. На: М1 =H2=M3=M4 11.2 11.7 Ho: M₁ = M₂ = M3 = μ4 Ha: Not all the population means are equal. Ho: M₁ = M₂ = M3 = M4 на: M1 + M2 # Nз +на Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is sufficient evidence to…

A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees at these plants know about quality management, a random sample of 6 employees was selected from each plant and the employees selected were given a quality awareness examination. The examination scores for these 18 employees are shown in the following table. The sample means, sample variances, and sample standard deviations for each group are also provided. Managers want to use these data to test the hypothesis that the mean examination score is the same for all three plants. Plant 1 Plant 2 Plant 3 Atlanta Dallas Seattle 84 72 60 74 74 63 82 74 61 77 75 68 72 68 76 85 81 68 Sample 79 74 66 mean Sample variance 29.6 18.0 35.6 Sample standard 5.44 4.24 5.97 deviation Set up the ANOVA table for these data. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum Degrees of Freedom Mean F p-value of Variation…

Test the claim about the population mean, p. at the given level of significance using the given sample statistics. Claim: p= 40; a=0.02; o= 3.17. Sample statistics: x= 38.7, n= 64 Identify the null and alternative hypotheses. Choose the correct answer below. 夏 O A. H, µ#40 B. H, p=40 Ha p= 40 Hạ µ±40 O C. H, p-40 H3: µ> 40 O D. H, p> 40 H p= 40 O E. H, H< 40 OF H, p=40 Ha p=40 H, p<40 Calculate the standardized test stustic. t: 0 The standardized test statistic is. (Round to two decimal places as needed.) ts Clear all Check answer rary View an example Get more help - Help me solve this This course (MAT 160 Elementary Statistics_MC01_Fall 2021) is based on Larson: Elementary Statistics: Picturing the World, 7e 66°F A O (99+) nere to search DC521 AUX XL-BTY 10/05/17 EGO

1. A bearing used in an automotive application is supposed to have a nominal inside diameter of 1.5 inches. A random sample of 20 bearings is selected and the data on the inside diameter is as follows: 1.48 1.50 1.51 1.495 1.487 1.505 1.48 1.52 1.50 1.515 1.501.49 1.49 1.509 1.489 1.49 1.512 1.51 1.495 1.50  Bearing diameter is known to be approximately normally distributed with a standard deviation of 0.01 in. Test the hypothesis that the mean inside diameter has changed. Use a 0.01 significance level. 2. A producer of chocolate bars hypothesizes that his production does not adhere to the weight standard of 100g. As a measure of quality control, he weighs a random sample of 15 bars and obtains the following results in grams:96.40, 97.64, 98.48, 97.67, 100.11, 95.29, 99.80, 98.80, 100.53, 99.41, 97.64, 101.11, 93.43, 96.99, 97.92. It is assumed that the production process is standardized in the sense that the variation is controlled to be σ = 2. Is there sufficient evidence to support…

An engineer tested 10 samples of a prototype design for bearings in a wheel. These 10 represent all the samples that are possible. She tabulated the number of hours it took for the bearings to fail under stress. Sample Design 8.1 1 2 7.9 8.0 4 8.1 7.8 8.2 8.4 6. 8. 6. 10 8.1 7.7 8.3 a) Calculate Hz. b) What is the true population mean, u? c) What do you need to assume in order to know this? (A single phrase will suffice). d) Let the standard deviation, o, be .651, calculate the standard deviation of the sample means. [Hint, do you have to calculate the whole table with (x- u; ), (F- H;), etc]? e) What does the answer to part d) mean in words? [This is more than saying it is the standard deviation of the sample means'] f) Why is standard deviation of the sample means smaller than o ?

The following information is available for two samples selected from independent normally distributed populations.   Population​ A:    n1=25   S21=36 Population​ B:    n2=25    S22=9   a. Which sample variance do you place in the numerator of FSTAT​? b. What is the value of FSTAT​?

Which is NOT a correct statement about the Null hypothesis   a. The average  days per week that elementary students lifted weights was the same for 2011 and 2013   b. The average time spent in sedentary behaviors is not different between male and female   c. The mean body mass index for adults in County A is not different from the mean body mass index in adults in County B   d. The mean sleep time for 4th grade students is different from the mean sleep time for 5th grade students