Test the hypothesis that the population GPA of all students in MAT125 is not equal to 2.95. Test at the 0.05 level of significance
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Test the hypothesis that the population GPA of all students in MAT125 is not equal to 2.95. Test at the 0.05 level of significance
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- Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of thesame make and model. The extended data table (left) and fit model report (right) are based on aquadratic model What is the predicted average mileage at tire pressure x = 31?Given a normally distributed data, what is the area of the region less than one standard deviationabove the mean and more than three standard deviations above the mean?The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if theeffects of warming and ice melt were affecting the water level. Fifty-five measurements over a periodof weeks yielded a sample mean of 306.2 feet. The population variance is known to be 3.57. Can it beconcluded at the 0.05 level of significance that the average depth has increased?
- indicator for gender (=1 if male, =0 if female). Your data set has 200 observations. donation = 1.57 + 0.12age + 0.08age? – 0.43 gender + 0.07(gender * age), R? = 0.33 (0.15)* (0.67) (0.11) (0.01) (0.06) donation = 1.59 (0.68) 0.46 gender, R² = 0.30 (0.17) 1. Assuming homoscedastic errors, test the hypothesis that age affects charitable donations at the 5% level. 2. Interpret the coefficient on gender interacted with age. 3. How would you test that the difference in giving between men and women is independent of age? If you can run the test, run it. If you cannot, explain what you need.If you want to quickly observe the brief statistics of a DataFrame object in the form shown below, please write the corresponding method name on the horizontal line. >> iris_df_length. 1 2 sepal length (cm) petal length (cm) 3 count 150.000000 150.000000 4 mean 5.843333 3.758000 std 0.828066 1.765298 min 4.300000 1.000000 7 25% 5.100000 1.600000 8 50% 5.800000 4.350000 75% 6.400000 5.100000 10 max 7.900000 6.900000A critical region consists of z-scores greater than 1.96 or less than -1.96. The obtained z-score for the sample data is z= -1.90. The correct statistical decision is
- A recent Nielsen analysis found that the typical U.S. smartphone user is spending an average of 220 minutes per day using apps. We speculate that the average time spent using apps for Generation X smartphone users (aged 41-56 years) is less than the national average. The hypotheses are Ho: H = 220 minutes versus Ha: µ < 220 minutes. Summary results from R are provided. Summary Statistics Std. Dev (s) Mean Sample Size (n) 205 minutes 63.25 minutes 31Avalanches can be a real problem for travelers in the western United States and Canada. Slab avalanches studied in Canada had an average thickness of µ = 67 cm. A sample of 31 avalanches in the U.S. gave a sample mean of = 63.0 cm. It is known that o = 10.3 cm for this type of data. Use a 0.03 level of significance to test the claim that the mean slab thickness of avalanches in the United States is different from that in Canada. Use the P-Value Approach. What is the Decision for this problem? O There is not sufficient evidence at the 0.03 level of significance to show that the mean slab thickness of avalanches in the United States is different from that in Canada. There is sufficient evidence at the 0.03 level of significance to show that the mean slab thickness of avalanches in the United States is less than that in Canada. There is sufficient evidence at the 0.03 level of significance to show that the mean slab thickness of avalanches in the United States is different from that in…What happens to the standard error of an estimate when the sample size in a SRS decreases?
- Avalanches can be a real problem for travelers in the western United States and Canada. Slab avalanches studied in Canada had an average thickness of u = 67 cm. A sample of 31 avalanches in the U.S. gave a sample mean of = 63.0 cm. It is known that o = 10.3 cm for this type of data. Use a 0.03 level of significance to test the claim that the mean slab thickness of avalanches in the United States is different from that in Canada. Use the P-Value Approach. What are the hypotheses for this problem? А: Но и 3D 63.0 ст us На и + 63.0 ст B: Но и 63.0 ст С: Но и %3D 67 ст us HA и < 67 ст D: Ho u = 67 cm vs HA H# 67 cm B O AAvalanches can be a real problem for travelers in the western United States and Canada. Slab avalanches studied in Canada had an average thickness of u = 67 cm. A sample of 31 avalanches in the U.S. gave a sample mean of = 63.0 cm. It is known that o = 10.3 cm for this type of data. Use a 0.03 level of significance to test the claim that the mean slab thickness of avalanches in the United States is different from that in Canada. Use the P-Value Approach. What is the P-Value for this problem? O 0.0154 0.0150 0.0300 0.0308Assuming that the distribution of the measurements made was normal, 13 measurements were made for the melting points of copper and it was observed that the mean and variance were 169 and 81, respectively. Test whether the melting point variability of copper is different from 64 at the 1% significance level, interpret the decision you made as a result of the test. While testing the hypothesis test, apply the 4 stages and show them separately.